Advanced topics on RF amplitude and phase detection for lowlevel RF systems
Advanced Topics in Data Science

Advanced Topics in Data Science Data science is a rapidly evolving field that encompasses a wide range of advanced topics. In this article, we will explore some of the most cutting-edge and complex concepts in data science, including machine learning, deep learning, natural language processing, and big data.Machine learning is a crucial aspect of data science that involves the development of algorithms that can learn from and make predictions or decisions based on data. This advanced topic involves a wide range of techniques, including supervised learning, unsupervised learning, and reinforcement learning. Supervised learning involves training a model on labeled data, while unsupervised learning involves finding patterns and relationships in unlabeled data. Reinforcement learning, on the other hand, involves training a model to make decisions in a dynamic environment in order to maximize some notion of cumulative reward.Deep learning is a subfield of machine learning that focuses on the development of artificial neural networks, which are inspired by the structure of the human brain. These networks are capable of learning to represent data in multiple layers of increasingly abstract representations, allowing them to excel at tasks such as image and speech recognition, natural language processing, and reinforcement learning. Deep learning has been a major driver of progress in fields such as computer vision and natural language processing, and has led to major breakthroughs in areas such as autonomous vehicles, medical imaging, and language translation.Natural language processing (NLP) is a branch of artificial intelligence that focuses on the interaction between computers and humans through natural language. NLP enables computers to understand, interpret, and generate human language in a valuable way. NLP involves a wide range of techniques and methods,including text mining, sentiment analysis, language modeling, and machine translation. It is an essential technology for many applications, including chatbots, virtual assistants, and language translation services.Big data refers to the massive volumes of data that are so large and complex that traditional data processing applications are inadequate to deal with them. This advanced topic in data science involves the collection, storage, and analysis of large and complex data sets using advanced computing and statistical techniques. Big data has a wide range of applications, including predictive analytics, risk modeling, fraud detection, and personalized marketing. It is an essential component of modern data science and is crucial for understanding and making decisions based on large and complex data sets.In conclusion, advanced topics in data science encompass a wide range of complex and cutting-edge concepts, including machine learning, deep learning, natural language processing, and big data. These topics are crucial for understanding and analyzing large and complex data sets, and have a wide range of applications in fields such as computer vision, speech recognition, language translation, predictive analytics, and more. As the field of data science continues to evolve, it is important for professionals to stay abreast of these advanced topics in order to remain competitive in the industry.。
LabVolt系列Radar活动目标培训系统(Radar跟踪培训系统的附加件)8112504(809

LabVolt Series DatasheetRadar Active Target Training System (add-on to the Radar Tracking Training System)8112504 (8097-40)* The product images shown in this document are for illustration purposes; actual products may vary. Please refer to the Specifications section of each product/item for all details. Festo Didactic reserves the right to change product images and specifications at any time without notice.Festo Didactic en12/2023Radar Active Target Training System (add-on to the Radar Tracking Training System), LabVolt SeriesTable of ContentsGeneral Description_________________________________________________________________________________3 List of Equipment___________________________________________________________________________________3 List of Manuals____________________________________________________________________________________4 Table of Contents of the Manual(s)____________________________________________________________________4 Equipment Description______________________________________________________________________________4Radar Active Target Training System (add-on to the Radar Tracking Training System), LabVolt SeriesGeneral DescriptionRadar Active Target (RAT) Training System is used in conjunction with the three previous subsystems to train students in the principles and scenarios of EW. This is a truly unique system that places real-time, safe, and unclassified EW demonstrations into the hands of students. The RAT Training System consists of an active jamming pod trainer, an elaborate set of accessories, and a comprehensive student manual.* WARNING: This equipment is subject to export control. Please contact your sales representative to know if this product can be imported in your region.List of EquipmentQty Description Model number1Electronic Warfare (Reference Book) _______________________________________________ 580343 (32254-80)1Radar in an Active Target Environment (Student Manual) ______________________________ 580425 (38546-00)1Horn Antenna ___________________________________________________________________ 581847 (9535-00)1Radar Jamming Pod Trainer Support ________________________________________________ 581916 (9595-10)1Radar Jamming Pod Trainer ________________________________________________________ 581949 (9608-10)1Power Supply (Radar Electronic Warfare) ___________________________________________ 8095962 (9609-10)1Accessories for the Radar Active Target Training System ________________________________581985 (9690-C0)Figure 13. Effect of barrage noise jamming produced by the jamming pod trainer of the RAT Training System as observed on the Radar PPI display.The jamming pod trainer is a Self-Screening Jammer (SSJ) target that can perform direct or modulated noise jamming (see Figure 13) as well as repeater jamming. It includes a remote controller to select the type of jamming and set the jammingparameters. The jamming pod trainer and the included accessories are designed for use with the Radar to implement real EW situations. This provides an effective means of introducing students to a real-time jamming situation that necessitates a response, that is, the use of an appropriate ECCM to prevent losingtrack of the target.Stealth accessories in the RAT Training System allow reduction of the jamming pod trainer’s radar cross section.Radar Active Target Training System (add-on to the Radar Tracking Training System), LabVolt Series•••••••••••••List of ManualsDescriptionManual numberElectronic Warfare (User Guide) ______________________________________________________580343 (32254-80)Radar in an Active Target Environment (Workbook) ______________________________________580425 (38546-00)Radar Training System (User Guide) ___________________________________________________________8112390Table of Contents of the Manual(s)Radar in an Active Target Environment (Workbook) (580425 (38546-00))1-1 Familiarization with the Radar Jamming Pod Trainer 1-2 Spot Noise Jamming and Burn-Through Range 1-3 Frequency Agility and Barrage Noise Jamming 1-4 Video Integration and Track-On-Jamming 1-5 Antennas in EW: Sidelobe Jamming and Space Discrimination 2-1 Deception Jamming Using the Radar Jamming Pod Trainer 2-2 Range Gate Pull-Off 2-3 Stealth Technology: The Quest for Reduced RCS 3-1 Deceptive Jamming Using Amplitude-Modulated Signals 3-2 Cross-Polarization Jamming 3-3 Multiple-Source Jamming Techniques 4-1 Chaff Clouds 4-2 Chaff Clouds used as DecoysEquipment DescriptionHorn Antenna 581847 (9535-00)The Horn Antenna is used to perform experiments related to a variety of topics, such as FM-CW radar, antenna gain, andmicrowaves. When used in conjunction with the Radar Antenna, the Horn Antenna allows separate transmission and reception of RF signals. It is also used in certain EW demonstrations.SpecificationsParameterValueGain 14.5 dBDistanceBetween the transmitting and receiving horn antennas: 40 cm (16 in).Radar Active Target Training System (add-on to the Radar Tracking Training System), LabVolt SeriesRadar Jamming Pod Trainer Support581916 (9595-10)This support is a mast designed to support the Radar Jamming Pod Trainerwhen it is used to perform electronic jamming against the Radar. The largebase of the mast provides stable support of the Radar Jamming PodTrainer. Soft pads attached under the base allow the mast to glide softlyover the surface of the Target Positioning System.Radar Jamming Pod Trainer581949 (9608-10)The Radar Jamming Pod Trainer is a Self-Screening Jammer (SSJ)target in a compact enclosure. It is designed to be placed on theTarget Positioning System to electronically attack the RadarTraining System by masking the target echo signal with noise orcausing either range or angle deception. The Radar Jamming PodTrainer mainly consists of an RF signal source, a variableattenuator, transmitting and receiving horn antennas, a signalrepeater, an amplitude modulator, and a remote controller.The RF signal source is a Voltage-Controlled Oscillator (VCO) whose frequency range is approximately twice that of the Radar Training System. The VCO frequency can be adjusted to perform radar jamming using spot noise. The VCO can also be modulated in frequency, either internally or externally, to produce barrage noise jamming. The variable attenuator decreases the VCO signal level before it is sent to the transmitting horn antenna. This allows the amount of noise introduced in the victim radar (i.e., the Radar) to be adjusted. The maximum transmitted power is low, thereby providing safe operation in a laboratory environment.The receiving horn antenna intercepts the pulse signal transmitted by the Radar. The repeater, which consists of an amplifier and a programmable delay line, amplifies and delays the intercepted signal. By transmitting this signal back to the radar and gradually increasing the delay, the range gate in the radar tracking system can be captured and pulled away from the target echo, thereby producing range deception. This technique is usually referred to as Range Gate Pull Off (RGPO).The amplitude modulator consists of an electronic RF switch which can be controlled either internally or externally. It is used to modulate the amplitude of the VCO output signal or repeated signal (on-off modulation). The amplitude modulator allows implementation of AM noise jamming and asynchronous inverse gain jamming. It also allows blinking jamming when a second transmitting horn antenna is connected to an auxiliary RF outputRadar Active Target Training System (add-on to the Radar Tracking Training System), LabVolt Serieson the Radar Jamming Pod Trainer. These three jamming techniques are used to cause angle deception in theradar tracking system.The remote controller is used to operate the Radar Jamming Pod Trainer. Communication between the remote controller and the Radar Jamming Pod Trainer is through an infra-red link. Buttons and an LCD display on theremote controller provide access to the various functions of the Radar Jamming Pod Trainer.The Radar Jamming Pod Trainer can be tilted 90° to perform cross-polarization jamming, another techniqueused to cause angle deception in the radar tracking system. It can also be used with accessories to demonstrateother jamming techniques such as sidelobe jamming, formation jamming, and jammer illuminated chaff (JAFF),as well as the fundamentals of stealth technology.The Radar Jamming Pod Trainer operates from unregulated DC voltages. A cable allows the Radar Jamming Pod Trainer to be connected to a standard unregulated DC power bus (available on the Power Supply / AntennaMotor Driver and the Power Supply).* WARNING: This equipment is subject to export control. Please contact your sales representative to know if this product can be imported in your region.SpecificationsParameter ValueFrequency Range8 to 12 GHzOutput Power-30 to +10 dBm, adjustable in 1 dB stepsInternal Frequency ModulationWaveform Selectable, 980-Hz synthesized triangular wave or 30-kbps pseudo-random bit sequenceDeviation Selectable, 50 MHz, 1, 2, 3, and 4 GHzFrequency Modulation InputVoltage Range-10 to +10 V (to cover 8 to 12 GHz)Modulating Frequency Range DC to 130 kHzImpedance10 kΩInternal Amplitude ModulationType On-OffFrequency Selectable, 0.25, 0.5, 1, 2, 3, 4, 5, 140, 141, 142, 143, 144, 145, 146, 147, and 148 HzAmplitude Modulation Input (on-off modulation)Level TTLDelay Time / Transition Time150 ns / 50 nsAuxiliary RF OutputFrequency Range8 to 12 GHzOutput Power-30 to +10 dBm, adjustable in 1 dB stepsImpedance50 ΩSignal Repeater (Programmable Delay Line)Maximum Input Power+10 dBmRange of Delay 2.66 to 5.60 ns (40 to 84.2 cm), adjustable in 7 steps of 0.42 ns (6.3 cm)RGPO Walk-Off Time Selectable, 0.8, 1.6, 4.0, and 8.0 sPhysical CharacteristicsDimensions (H x W x D)150 x 170 x 440 mm (5.9 x 6.7 x 17.3 in)Net Weight 3.4 kg (7.5 lb)Radar Active Target Training System (add-on to the Radar Tracking Training System), LabVolt SeriesPower Supply (Radar Electronic Warfare)8095962 (9609-10)The Power Supply can be installed under the surface of theTarget Positioning System to provide power to the RadarJamming Pod Trainer. It provides the same unregulated DCvoltages as the Power Supply / Antenna Motor Driver through amulti-pin connector located on its top panel. This connector isidentical to the power connector used on several other modulesof the system and has the same pin configuration. SpecificationsParameter ValuePower RequirementCurrent 1.5 A (for 120 V)Service Installation Standard single-phase ac outletUnregulated DC Outputs-25 V typ. -1.0 A max.; +11 V typ. -1.5 A max.; +25 V typ.-1.0 A max.Line Input Protection 2 A / 1 A circuit breakerUnregulated DC Output Protection 1.0 A and 1.5 A circuit breakerPhysical CharacteristicsDimensions (H x W x D)112 x 330 x 300 mm (4.4 x 13 x 11.8 in)Net Weight 6.7 kg (14.8 lb)Accessories for the Radar Active Target Training System581985 (9690-C0)The Accessories for the Radar Active Target Training Systemcontain a chaff cloud simulation device, a multifunction stand, atriangular (stealth) shield to cover the Radar Jamming PodTrainer, Radiation Absorbing Material (RAM), a set of microwavecomponents and cables, and a sample of actual chaff.Radar Active Target Training System (add-on to the Radar Tracking Training System), LabVolt Series Reflecting the commitment of Festo Didactic to high quality standards in product, design, development, production, installation, and service, our manufacturing and distribution facility has received the ISO 9001 certification.Festo Didactic reserves the right to make product improvements at any time and without notice and is not responsible for typographical errors. Festo Didactic recognizes all product names used herein as trademarks or registered trademarks of their respective holders. © Festo Didactic Inc. 2023. All rights reserved.Festo Didactic SERechbergstrasse 373770 DenkendorfGermanyP. +49(0)711/3467-0F. +49(0)711/347-54-88500Festo Didactic Inc.607 Industrial Way WestEatontown, NJ 07724United StatesP. +1-732-938-2000F. +1-732-774-8573Festo Didactic Ltée/Ltd675 rue du CarboneQuébec QC G2N 2K7CanadaP. +1-418-849-1000F. +1-418-849-1666。
高频实力强劲,Advanced Amplifiers Solid State RF Amplifie

Instruction Manual Including Quick Start GuideAdvanced AmplifiersSolid State RF Amplifier SystemAA-1M6G-301 MHz - 6.0 GHz, 30 Watt, 45dB MinTable of ContentsSAFETY INSTRUCTIONS (3)SPECIFICATIONS (4)ELECTRICAL SPECIFICATIONS: 50Ω, 25°C (4)ENVIRONMENTAL CHARACTERISTICS (4)MECHANICAL SPECIFICATIONS (4)OPERATING INSTRUCTIONS & GENERAL INFORMATION (5)INTRODUCTION (5)INCOMING INSPECTION (5)RF & AC CABLE CONNECTION (5)RF TURN ON PROCEDURE (5)RF TURN OFF PROCEDURE (5)DECLARATION OF CE CONFORMITY (6)LIMITED WARRANTY (6)CONTACT INFORMATION (6)FRONT & REAR PANEL DESCRIPTIONS (7)FRONT PANEL VIEW (7)REAR PANEL VIEW (8)SYSTEM OUTLINE VIEW (9)SAFETY INSTRUCTIONSBEFORE USING THIS EQUIPMENTRead this manual and become familiar with safety markings and instructions.Inspect unit for any sign of external damage. Do not use this equipment if there is physical damage or missing parts. Verify the input AC voltage to the main power supply.For a system with a digital controller option – DO NOT USE OR CONNECT a PoE enabled ethernet switch to a system. Our digital controller does not support PoE connection and will cause permanent damages to a controller unit. INTENDED USEThis product is intended for general laboratory use in a wide variety of industrial and scientific applications.RF OUTPUT LOAD & PROPER GROUNDING REQUIREDThe RF output connector must be connected to a load before the AC switch is turned on.AC & RF power must be off before disconnecting the output load or other components.The main power source to the equipment must have an uninterrupted safety ground that has sufficient size to the power cord.REPAIR & MAINTENANCEAll repair or maintenance work must be performed by a factory authorized technician in order to extend the operating life of this equipment and not to void any outstanding warranty.FORCED AIR COOLINGThis equipment requires forced air cooling. All air inlets and outlets must be cleared and free of blocking at all time. Insufficient air flow will result in damaged equipment.SAFETY SYMBOLSThis symbol is marked on the equipment when it is necessary for the user to refer to the manual forimportant safety information. This symbol is indicated in the Table of Contents to assist in locatingpertinent information.Dangerous voltages are present. Use extreme care.The caution symbol denotes a potential hazard. Attention must be given to the statement to preventdamage, destruction or harm.This symbol indicates protective earth terminal.SPECIFICATIONSELECTRICAL SPECIFICATIONS: 50Ω, 25°CParameter Specification NotesBand A BOperating Frequency Band 1 - 1000 MHz 1 - 6 GHz Band switching @ 15 mS Max Power Output @ Psat30 Watt Min / 50 Watt Typ CW or Pulse Power Gain45 dB Min0dBm or less for rated Pout Power Gain Flatness 4.0 dB p-p Max Constant input power Gain Adjustment Range20 dB Min Local or remote Input Return Loss-10 dB Max2-Tone Intermodulation (IMD)-30 dBc Typ35dBm/Tone, Δ = 1MHz Harmonics<-20 dBc Typ At rated Pout Spurious-60 dBc Max Non-harmonics Operating Voltage100 - 240 VAC47 - 63 HzPower Consumption500 Watt Max At rated PoutInput Power Protection+10 dBm Max1Load VSWR Protection 6 : 1: Max2Foldback @ preset limit Sample Port (optional)-40 dB N-Female1 Units with optional digital monitor and control, for basic units <10 Sec without damage2 Units with optional digital monitor and control, for basic units <1 minute at rated PoutENVIRONMENTAL CHARACTERISTICSParameter Specification Notes Operating Ambient Temperature0 to +50 °CStorage Temperature-40 to +85 °CRelative Humidity up to 95 %Non-condensing Altitude3000 metersShock & Vibration Normal transport3MECHANICAL SPECIFICATIONSParameter Specification Notes Dimensions W x H x D430 x 88 x 700 mm2U, excluding handles Weight12 Kg.RF Connectors Input/Output/Sample N-Female Front or rear panel Interface Connector9-Pin D-Sub Rear panelAC Power IEC 60320-C14Or equivalent Cooling Built in Fan Cooling Variable speedOPTIONAL: Digital Monitor & Control (DMC) FWD, REV, VSWR, GAIN, ALC, V & I, TEMP, Optional Safety Interlock (INT)Ethernet RJ-45 TCP/IP, RS422/485, USBOptional GPIB InterfaceOpen=STBY/Short=RFONIEEE rear panelBNC-F rear panelOPERATING INSTRUCTIONS & GENERAL INFORMATION INTRODUCTIONAdvanced Amplifiers is an amplifier equipment and services company supporting commercial and government organizations worldwide.Headquartered in San Diego, California, the company utilizes its global network of resources to effectively serve and support customer requirements.As a unique original equipment manufacturer of power amplifiers ranging from 10KHz to 40GHz with various output power levels for CW & pulse testing applications, we can also fully support custom designs and manufacturing requirements for both small and large volume procurements. We bring decades of combined experience in the RF field for numerous applications including and not limited to, EMI/EMC, communications, and various commercial and industry standards.With our in-house capabilities and fully equipped testing facilities, Advanced Amplifiers is committed to provide the best in RF products with industry leading quality and lead times.INCOMING INSPECTIONInspect unit for any sign of external damage. Do not use this equipment if there is physical damage or missing parts. Inspect all front and rear panel connectors for damage. Inspect fans and their airways for any damage or blockings. For a unit with a digital controller option, the USB and ethernet interface and commands list is in the second part of the manual.RF & AC CABLE CONNECTIONRF Input and Output connectors are outlined in the specifications table. Use the standard AC cable that was supplied by the manufacturer or higher power rating cables than the manual specifies. Refer to the front and rear panel description page for the location of RF and AC connectors.For a system with a digital controller option – DO NOT USE OR CONNECT a PoE enabled ethernet switch to a system. Our digital controller does not support PoE connection and will cause permanent damages to a controller unit. RF TURN ON PROCEDUREConnect RF input to an RF Pulse Generator and Gating signal. Connect a suitable load for the power rated and continuous operation to the output connector. Turn on the AC switch, display will show STANDBY. Optionally, connect the unit to a digital control Software or Ethernet connection. Set the RF generator to nominal 0dBm and set the desired frequency in the specified range. Select Gain or ALC and set to the desirable output power level then press the ONLINE button. Use the front panel LCD gain adjust or the remote function to adjust the output power on the power meter and the LCD screen to desired levels.Refer to Appendix-1 for detailed operating instructions of the local and remote controller.RF TURN OFF PROCEDUREDecrease the RF drive from the RF generator to below -20dBm and press STANDBY on the LCD or via the control software. Turn off AC switch on the front panel. Disconnect any unnecessary cable connections.DECLARATION OF CE CONFORMITYWe, Advanced Amplifiers Corp, declare under our sole responsibility that the product to which this declaration relates is in conformity with the following standard(s) or other normative document(s):Council Directive 98/37/EC on the Safety of Machinery DirectiveCouncil Directive 2014/35/EC on Low Voltage Equipment SafetyLIMITED WARRANTYAdvanced Amplifiers warrants that goods delivered hereunder, at the time of delivery, will be free from defects in workmanship and material and will conform to the requirements of the purchase order. Seller’s liability hereunder shall be limited to the repair or replacement of defective goods F.O.B. factory of which Seller is modified in writing by Buyer within three (3) years following delivery thereof to Buyer, and in no event will Seller be liable for incidental, special or consequential damages. (Note: One (1) year warranty for moving parts such as fans and power supplies). The foregoing warranty is in lieu of all other warranties express or implied (except as to title), including any implied warranty of merchantability or suitability for purpose or against infringement..CONTACT INFORMATIONPlease send all inquiries to:Advanced Amplifiers10401 Roselle StreetSan Diego, CA 92121WEB: EMAIL: ****************************COPYRIGHT & TRADEMARKSCopyright 2022 Advanced Amplifiers, All rights reserved. All other trademarks and brand names are the property of their respective proprietors.FRONT & REAR PANEL DESCRIPTIONS FRONT PANEL VIEWNo.Title Function1RF SAMPLE A N Female, RF SAMPLE Connector.SAMPLE PORT MUST BE TERMINATED AT ALL TIME2RF SAMPLE B N Female, RF SAMPLE Connector.SAMPLE PORT MUST BE TERMINATED AT ALL TIME30dBm INPUT N Female, 0dBm INPUT Connector.4FAULT LED System Fault LED: Turn ON an LED when Over-Temp, Ext. Shutdown. 5POWER SWITCH System Power Switch.6LCD DISPLAY 4” Touch screen LCD Display, System Control LCD Panel.REAR PANEL VIEWNo.Title Function1AC POWER CONNECTOR AC Power Input 100 ~ 240VAC, 47/63Hz, IEC60320-14 Connector.2RS-422System RS-422 Communication / Gating Signal Female 9-Pin D-Sub Connector. P1 TX- P6 N/CP2 TX+ P7 N/CP3 RX+ P8 N/CP4 RX- P9 N/CP5 GND (RS-422)3GPIB IEEE-488 GPIB Interface Connector, Female.4DEBUG System Controller Debugging Female Connector. Port access requires factory authorization5USB USB Communication Connector, Type A Female.6ETHERNET Ethernet Communication Female Connector, RJ-45.For a system with a digital controller option – DO NOT USE OR CONNECT a PoE enabled ethernet switch to a system. Our digital controller does not support PoE connection and will cause permanent damages to a controller unit.7INTERLOCK BNC Female, Safety Interlock ConnectorInterlock Close Circuit : Normal operationInterlock Open Circuit : RF Off operation8GND Frame Ground.950Ω OUTPUT N Female, 50Ω OUTPUT Connector. 10Cooling FAN System Outlet Cooling FAN.SYSTEM OUTLINE VIEW。
new phytologist awaiting referee scores

new phytologist awaiting referee scores As a newly submitted manuscript to the peer-reviewed journal New Phytologist, we are eagerly awaiting the referee scores.This manuscript represents a significant contribution to thefield of plant physiology, specifically in the area of photosynthesis research. 。
The manuscript begins with a detailed introduction to the importance of photosynthesis in the conte某t of global climate change, highlighting the potential impacts of risingtemperatures and CO2 levels on plant productivity. We then describe the methods used to grow and stress the plants,including measurements of photosynthetic rates, pigment content, and gene e某pression. We also performed detailed analyses ofthe chloroplasts, the organelles responsible for photosynthesis, using advanced imaging techniques. 。
超快光学超快光谱

Chopper
Chopped excite pulse train
The excite pulse periodically changes the sample absorption seen by the probe pulse.
Probe pulse train
Lock-in detector
What’s going on in spectroscopy measurements
The excite pulse(s) excite(s) molecules into excited states, which changes the medium’s absorption coefficient and refractive index.
DT(t) / T0 Da0 exp(–t /tex) L
0
Delay, t
Modeling excite-probe measurements
(cont’d)
3
Excite transition
2 Probe transition
1
0
More complex decays occur if intermediate states are populated or if the motion is complex. Imagine probing an intermediate transition, whose states temporarily fill with molecules on their way back down to the ground state:
Ultrafast laser spectroscopy: Why
Most events that occur in atoms and molecules occur on fs and ps time scales because the length scales are very small.
RF simulation

The Designer’s Guide Community downloaded from Introduction to RF Simulation and its ApplicationKen KundertDesigner’s Guide Consulting, Inc.Version 2, 23 April 2003Radio-frequency (RF) circuits exhibit several distinguishing characteristics that makethem difficult to simulate using traditional Spice transient analysis. The various exten-sions to the harmonic balance and shooting method simulation algorithms are able toexploit these characteristics to provide rapid and accurate simulation for these circuits.This paper is an introduction to RF simulation methods and how they are applied tomake common RF measurements. It describes the unique characteristics of RF circuits,the methods developed to simulate these circuits, and the application of these methods.Published in the IEEE Journal of Solid-State Circuits, vol. 34, no. 9 in September 1999. Lastupdated on May 12, 2006 8:08 am. Errors were found in (61), (62) and (64) that have been cor-rected in this version. You can find the most recent version at .Contact the author via e-mail at ken@.Permission to make copies, either paper or electronic, of this work for personal or classroom useis granted without fee provided that the copies are not made or distributed for profit or commer-cial advantage and that the copies are complete and unmodified. To distribute otherwise, to pub-lish, to post on servers, or to distribute to lists, requires prior written permission.Copyright©2006, Kenneth S. Kundert – All Rights Reserved1 of 47Introduction to RF Simulation and its Application The RF Interface2 of 47The Designer’s Guide Community 1The RF InterfaceWireless transmitters and receivers can be conceptually separated into baseband and RFsections. Baseband is the range of frequencies over which transmitters take their inputand receivers produce their output. The bandwidth of the baseband section determinesthe underlying rate at which data can flow through the system. There is a considerableamount of signal processing that occurs at baseband designed to improve the fidelity ofthe data stream being communicated and to reduce the load the transmitter places on thetransmission medium for a particular data rate. The RF section of the transmitter isresponsible for converting the processed baseband signal up to the assigned channel andinjecting the signal into the medium. Conversely, the RF section of the receiver isresponsible for taking the signal from the medium and converting it back down to base-band.With transmitters there are two primary design goals. First, they must transmit a speci-fied amount of power while consuming as little power as possible. Second, they mustnot interfere with transceivers operating on adjacent channels. For receivers, there arethree primary design goals. First, they must faithfully recover small signals. They mustreject interference outside the desired channel. And, like transmitters, they must be fru-gal power consumers.1.1Small Desired Signals Receivers must be very sensitive to detect small input signals. Typically, receivers areexpected to operate with as little as 1 μV at the input. The sensitivity of a receiver is lim-ited by the noise generated in the input circuitry of the receiver. Thus, noise is a impor-tant concern in receivers and the ability to predict noise by simulation is very important.As shown in Figure 1, a typical superheterodyne receiver first filters and then amplifiesits input with a low noise amplifier or LNA. It then translates the signal to the intermedi-ate frequency or IF by mixing it with the first local oscillator or LO. The noise perfor-mance of the front-end is determined mainly by the LNA, the mixer, and the LO. Whileit is possible to use traditional S PICE noise analysis to find the noise of the LNA, it isuseless on the mixer and the LO because the noise in these blocks is strongly influencedby the large LO signal.The small input signal level requires that receivers must be capable of a tremendousamount of amplification. Often as much as 120 dB of gain is needed. With such highgain, any coupling from the output back to the input can cause problems. One importantreason why the superheterodyne receiver architecture is used is to spread that gain overseveral frequencies to reduce the chance of coupling. It also results in the first LO beingFIGURE 1 A coherent superheterodyne receiver’s RF interface.IQ(1*10^-12/2*50)w=(1*10^-11)mW=-110dBm1uV:Characteristics of RF Circuits Introduction to RF Simulation and its Application3 of 47The Designer’s Guide Community at a different frequency than the input, which prevents this large signal from contaminat-ing the small input signal. For various reasons, the direct conversion or homodyne archi-tecture is a candidate to replace the superheterodyne architecture in some wirelesscommunication systems [1,16,47,48]. In this architecture the RF input signal is directlyconverted to baseband in one step. Thus, most of the gain will be at baseband and theLO will be at the same frequency as the input signal. In this case, the ability to deter-mine the impact of small amounts of coupling is quite important and will require carefulmodeling of the stray signal paths, such as coupling through the substrate, betweenpackage pins and bondwires, and through the supply lines.1.2Large Interfering SignalsReceivers must be sensitive to small signals even in the presence of large interfering sig-nals, often known as blockers. This situation arises when trying to receive a weak or dis-tant transmitter with a strong nearby transmitter broadcasting in an adjacent channel.The interfering signal can be 60-70 dB larger than the desired signal and can act toblock its reception by overloading the input stages of the receiver or by increasing theamount of noise generated in the input stage. Both of these problems result if the inputstage is driven into a nonlinear region by the interferer. To avoid these problems, thefront-end of a receiver must be very linear. Thus, linearity is also an important concernin receivers. Receivers are narrowband circuits and so the nonlinearity is quantified bymeasuring the intermodulation distortion. This involves driving the input with two sinu-soids that are in band and close to each other in frequency and then measuring the inter-modulation products. This is generally an expensive simulation with S PICE becausemany cycles must be computed in order to have the frequency resolution necessary tosee the distortion products.1.3Adjacent Channel InterferenceDistortion also plays an important role in the transmitter where nonlinearity in the out-put stages can cause the bandwidth of the transmitted signal to spread out into adjacentchannels. This is referred to as spectral regrowth because, as shown in F igure 2 andFigure 3 on page 5, the bandwidth of the signal is limited before it reaches the transmit-ter’s power amplifier or PA, and intermodulation distortion in the PA causes the band-width to increase again. If it increases too much, the transmitter will not meet itsadjacent channel power requirements. When transmitting digitally modulated signals,spectral regrowth is virtually impossible to predict with S PICE . The transmission ofaround 1000 digital symbols must be simulated to get a representative spectrum, andthis combined with the high carrier frequency makes use of transient analysis impracti-cal.2Characteristics of RF CircuitsRF circuits have several unique characteristics that are barriers to the application of tra-ditional circuit simulation techniques. Over the last decade, researchers have developedmany special purpose algorithms that overcome these barriers to provide practical simu-lation for RF circuits, often by exploiting the very characteristic that represented thebarrier to traditional methods [28].污染线性度要求高丆降低互调影响Transmitter 的非线性导致频谱扩展Introduction to RF Simulation and its Application Characteristics of RF Circuits4 of 47The Designer’s Guide Community2.1Narrowband SignalsRF circuits process narrowband signals in the form of modulated carriers. Modulatedcarriers are characterized as having a periodic high-frequency carrier signal and a low-frequency modulation signal that acts on either the amplitude, phase, or frequency of the carrier. For example, a typical mobile telephone transmission has a 10-30 kHz modula-tion bandwidth riding on a 1-2 GHz carrier. In general, the modulation is arbitrary,though it is common to use a sinusoid or a simple combination of sinusoids as test sig-nals.The ratio between the lowest frequency present in the modulation and the frequency ofthe carrier is a measure of the relative frequency resolution required of the simulation.General purpose circuit simulators, such as S PICE , use transient analysis to predict thenonlinear behavior of a circuit. Transient analysis is expensive when it is necessary toresolve low modulation frequencies in the presence of a high carrier frequency becausethe high-frequency carrier forces a small timestep while a low-frequency modulationforces a long simulation interval.Passing a narrowband signal though a nonlinear circuit results in a broadband signalwhose spectrum is relatively sparse, as shown in Figure 3. In general, this spectrum con-sists of clusters of frequencies near the harmonics of the carrier. These clusters take theform of a discrete set of frequencies if the modulation is periodic or quasiperiodic, and acontinuous distribution of frequencies otherwise.RF simulators exploit the sparse nature of this spectrum in various ways and with vary-ing degrees of success. Steady-state methods (Section 4.1 on page 14) are used whenthe spectrum is discrete, and transient methods (Section 4.3 on page 22) are used whenthe spectrum is continuous.2.2Time-Varying Linear Nature of the RF Signal PathAnother important but less appreciated aspect of RF circuits is that they are generallydesigned to be as linear as possible from input to output to prevent distortion of themodulation or information signal. Some circuits, such as mixers, are designed to trans-late signals from one frequency to another. To do so, they are driven by an additionalsignal, the LO, a large periodic signal the frequency of which equals the amount of fre-quency translation desired. For best performance, mixers are designed to respond in aFIGURE 2 A digital direct conversion transmitter’s RF interface.Serial toParallelLPFs PA sin(ωLO t )cos(ωLO t )in IQ本页已使用福昕阅读器进行编辑。
precalculus知识点总结

precalculus知识点总结Precalculus is an essential branch of mathematics that serves as a bridge between algebra, geometry, and calculus. This subject is crucial for students preparing to undertake advanced courses in mathematics, physics, engineering, and other technical fields. In this precalculus knowledge summary, we will cover important topics such as functions, trigonometry, and analytic geometry.FunctionsOne of the fundamental concepts in precalculus is that of functions. A function is a relationship between two sets of numbers, where each input is associated with exactly one output. In other words, it assigns a unique value to each input. Functions can be represented in various forms, such as algebraic expressions, tables, graphs, and verbal descriptions.The most common types of functions encountered in precalculus include linear, quadratic, polynomial, rational, exponential, logarithmic, and trigonometric functions. Each type of function has its own unique characteristics and properties. For example, linear functions have a constant rate of change, while quadratic functions have a parabolic shape.Functions can be manipulated by performing operations such as addition, subtraction, multiplication, division, composition, and inversion. These operations can be used to create new functions from existing ones, or to analyze the behavior of functions under different conditions.TrigonometryTrigonometry is the study of the relationships between the angles and sides of triangles. It plays a crucial role in precalculus and is essential for understanding periodic phenomena such as oscillations, waves, and circular motion.The primary trigonometric functions are sine, cosine, and tangent, which are defined in terms of the sides of a right-angled triangle. These functions have various properties, such as periodicity, amplitude, and phase shift, which are important for modeling and analyzing periodic phenomena.Trigonometric functions can also be extended to the entire real line using their geometric definitions. They exhibit various symmetries and periodic behaviors, which can be visualized using the unit circle or trigonometric graphs. Additionally, trigonometric identities and equations are essential tools for simplifying expressions, solving equations, and proving theorems.Analytic GeometryAnalytic geometry is a branch of mathematics that combines algebra and geometry. It deals with the use of algebraic techniques to study geometric shapes and their properties. Inprecalculus, this subject is primarily concerned with the study of conic sections, such as circles, ellipses, parabolas, and hyperbolas.The equations of conic sections can be derived using geometric constructions, or by using algebraic methods such as completing the square, factoring, and manipulating equations. These equations can then be used to describe the geometric properties of conic sections, such as their shape, size, orientation, and position.Furthermore, analytic geometry also involves the study of vectors and matrices, which are important tools for representing and manipulating geometric objects in higher dimensions. Vectors can be used to represent points, lines, and planes in space, while matrices can be used to perform transformations such as rotations, reflections, and scaling.Other TopicsIn addition to the core topics mentioned above, precalculus also covers other important concepts such as complex numbers, polar coordinates, sequences and series, and mathematical induction. Complex numbers are used to extend the real number system to include solutions to equations that have no real roots. They have applications in various fields such as electrical engineering, quantum mechanics, and signal processing.Polar coordinates provide an alternative way of describing points in the plane using radial distance and angular direction. They are particularly useful for representing periodic and circular motion, as well as for simplifying certain types of calculations in calculus.Sequences and series are ordered lists of numbers that have a specific pattern or rule. They can be finite or infinite, and their sums can be used to represent various types of mathematical and physical phenomena. For example, arithmetic sequences are used to model linear growth or decline, while geometric series are used to model exponential growth or decay.Finally, mathematical induction is a powerful method for proving statements about positive integers. It is based on the principle that if a certain property holds for a base case, and if it can be shown that it also holds for the next case, then it holds for all subsequent cases as well. This method is widely used in various areas of mathematics, such as number theory, combinatorics, and discrete mathematics.ConclusionIn conclusion, precalculus is a diverse and rich subject that covers a wide range of mathematical concepts and techniques. It provides students with the necessary foundation to tackle more advanced topics in calculus and beyond. By mastering the core topics of precalculus, students will be well-equipped to understand and apply advanced mathematical methods in various technical fields. Whether it be functions, trigonometry, analytic geometry, or any other topic, a solid understanding of precalculus is essential for success in higher mathematics.。
有限元分析——谐响应

Sinusoidally varying, at known frequencies. Phase angle ψ allows multiple, out-of-phase loads to be applied. Defaults to zero. All applied loads are assumed to be harmonic, including temperatures and gravity.
Nature of Harmonic Loads
•
Imaginary
Training Manual
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Harmonic Analysis
… Definition & Purpose
Harmonic analysis is used in the design of: •
Training Manual
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1 Introduction
Detection of the amplitude and phase of an RF signal is widely required in many subsystems of a particle accelerator, such as LLRF systems [1–8], beam diagnostics [9–11], and synchronization systems [12–14]. In LLRF
Zhe-Qiao Geng1 • Roger Kalt1
Received: 22 February 2019 / Revised: 3 June 2019 / Accepted: 6 June 2019 Ó China Science Publishing & Media Ltd. (Science Press), Shanghai Institute of Applied Physics, the Chinese Academy of Sciences, Chinese Nuclear Society and Springer Nature Singapore Pte Ltd. 2019
The major requirements for an RF detector include accuracy, precision, and response latency. With an accurate measurement of the RF amplitude and phase, we are able to capture the exact changes in the RF field that are really encountered by the beam. A precise RF detector is able to detect small changes in the RF field or, in other words, provide high-resolution RF measurements. The latency of the RF detector is critical when using an RF feedback loop for which the overall loop delay will limit the closed-loop bandwidth that the feedback loop can achieve [15, 16]. Generally, an RF detector with high accuracy, high precision, and low latency is required in many LLRF systems.
NUCL SCI TECH (2019)30:146 (0123456789().,-volV()0123456789().,-volV)
https:///10.1007/s41365-019-0670-7
Advanced topics on RF amplitude and phase detection for lowlevel RFel radio frequency (LLRF) systems stabilize the electromagnetic field in the RF cavities used for beam acceleration in particle accelerators. Reliable, accurate, and precise detection of RF amplitude and phase is particularly important to achieve high field stability for pulsed accelerators of free-electron lasers (FEL). The digital LLRF systems employ analog-to-digital converters to sample the frequency down-converted RF signal and use digital demodulation algorithms to calculate the RF amplitude and phase. Different sampling strategies and demodulation algorithms have been developed for these purposes and are introduced in this paper. This article focuses on advanced topics concerning RF detection, including accurate RF transient measurement, wideband RF detection, and RF detection with an asynchronous trigger, local oscillator, or clock. The analysis is based on the SwissFEL measurements, but the algorithms introduced are general for RF signal detection in particle accelerators.
& Zhe-Qiao Geng zheqiao.geng@psi.ch
1 Paul Scherrer Institut (PSI), 5232 Villigen PSI, Switzerland
systems, the RF detector is one of the key devices used to diagnose and control the RF fields in the cavities used for beam acceleration.