Extraction of gold from an Indian low-grade refractory gold ore through physical beneficiation and t

Extraction of gold from an Indian low-grade refractory gold ore through physical beneficiation and t
Extraction of gold from an Indian low-grade refractory gold ore through physical beneficiation and t

Extraction of gold from an Indian low-grade refractory gold ore

through physical beneficiation and thiourea leaching

D.S.R.Murthy *,Vinod Kumar,K.V .Rao

National Metallurgical Laboratory,CSIR,Jamshedpur 831007,India

Received 26July 2002;received in revised form 8November 2002;accepted 8November 2002

Abstract

The work carried out on the processing of a low-grade and refractory gold ore using thiourea is presented.Direct leaching of the ‘‘as-received’’ore with thiourea has yielded only 16%gold extraction.Starting with ore containing 1.4g/t of gold,it has been possible to generate a sulphide concentrate with 6.1g/t of gold by physical beneficiation of the ore through froth flotation.Thiourea leaching of this flotation concentrate after pressure,pre-oxidation has resulted in gold extraction of 98%,with an overall gold recovery of 74%.Pressure oxidation was found to be slightly superior to roasting for the pre-oxidation of the refractory gold ore/concentrate.

D 2003Elsevier Science B.V .All rights reserved.

Keywords:Low-grade gold ores;Leaching;Refractory ores;Floatation

1.Introduction

With the fast depletion of high-grade gold ores,the dependence on low-grade ores may increase globally in the near future.When a gold ore is below the cut-off level (1.75g/t),it will not be economical to use such ore directly.However,depending on the nature of the ore,it may be possible to generate a gold concentrate with enhanced gold content by suitable physical beneficiation techniques.Once such a con-centrate with a higher assay value of gold is produced,it may be possible to extract the gold with an advantage,because only lesser quantity of the material will be used in the subsequent down-stream leaching

operation.A low-grade gold ore from the southern region of India has been used in this study.

Although cyanide has been the primary lixiviant for the extraction of gold for over a century now,it is associated with certain shortcomings such as toxicity,long leaching times and considerable interaction with other nonferrous metals present in the gold ores.Because of this,attempts are being made by various investigators to search for alternative nontoxic lixi-viants (V on Michaelis,1987;Tran et al.,1992;Swa-minathan et al.,1993)for gold.One such leachant,thiourea (Brent Hiskey,1984;Groenewald,1976;Hisshion and Waller,1984)is known to give much faster dissolution of gold.As opposed to alkaline base leachants,thiourea forms gold cationic ions.Because of this,a variety of options such as activated car-bon adsorption,cationic ion exchange,solvent extrac-tion,electrowinning,cementation,etc.,are available

0304-386X/03/$-see front matter D 2003Elsevier Science B.V .All rights reserved.PII:S 0304-386X (02)00197-4

*Corresponding author.

E-mail address:dsrmurthy _nml@https://www.360docs.net/doc/1f11311258.html, (D.S.R.Murthy).

https://www.360docs.net/doc/1f11311258.html,/locate/hydromet

Hydrometallurgy 68(2003)125

–130

for the recovery of gold from thiourea leach liquors (Deschenes,1986).The dissolution of gold in acidic thiourea solutions in the presence of ferric ion may be represented as:

AutFe3tt2C SeNH2T2

?Au?CSeNH2T2 t2tFe2te1TGold ores that are not amenable to direct leaching by cyanide or any other leachant are known as refractory ores.The primary reason for this poor response is mineralogical(Robinson,1983),with the gold being finely disseminated in the sulphide miner-als such as pyrite,pyrrhotite,chalcopyrite,arsenopyr-ite,etc.In a broad classification of the gold ores(La Brooy et al.,1994)based on their response to cyani-dation,gold ores with greater than90%recovery were considered nonrefractory and those with less than 50%gold recovery were said to be highly refractory. In the case of such refractory ores,a pre-oxidation step often becomes necessary to oxidise the base metal sulphides and expose the gold particles for subsequent leaching.The main methods of pre-oxida-tion recommended for the refractory gold ores are roasting(McQuiston and Shoemaker,1975;La Brooy et al.,1994;Angelidis and Kydros,1995),biological oxidation(Lawrence and Bruynesteyn,1983;Deng and Liao,2002)and pressure oxidation(Mason,1990; Thomas,1991;Murthy et al.,1992).

The reactions involved in the roasting of the sulphides may be given as:

2FeS2t5:5O2?Fe2O3t4SO2e2T2CuFeS2t6:5O2?2CuOtFe2O3t4SO2e3TThe oxidation of the sulphide minerals during pressure oxidation may be represented as:

2FeS2t7:5O2tH2O?Fe2eSO4T3tH2SO4e4T

4FeS2t15O2t8H2O?2Fe2O3t8H2SO4e5T

2CuFeS2t8:5O2t2H2O

?2CuSO4tFe2O3t2H2SO4e6T

In the present work,the low-grade refractory gold ore was beneficiated by froth flotation and the gold concentrate generated was pre-oxidised and then leached with thiourea to extract the gold.

2.Experimental

2.1.Reagents and materials

All the reagents used in this work were of analyt-ical grade.A low-grade refractory gold ore from the Southern region of India was used in this investiga-tion.The chemical analysis of the‘‘as-received’’ore, which contained1.4g/t of gold,is shown in Table1.

2.2.Procedures

X-ray diffraction studies of the‘‘as-received’’ore as well as the flotation concentrate were carried out using a Seifert XRD3003PTS unit.The initial1kg flotation experiments and the bulk flotation experi-ments were carried out using standard flotation equip-ment.A series of experiments were conducted to arrive at the optimum values of grind size,collector and frother dosages required for the flotation studies. All the flotation experiments were carried out in duplicate and the average results are presented.

Leaching experiments were conducted using a lab-oratory size stirrer in a4-L glass beaker after adding all the required reagents and500g of the‘‘as-received’’ore or the pre-oxidised ore/flotation concentrate.Anal-ysis of gold from the leach liquor was carried out using a Shimadzu inductively coupled plasma spectropho-tometer.Gold analyses in all the solid samples were done by fire assay.The analyses of all other constitu-ents were done by conventional methods.Pressure oxidation of the‘‘as-received’’ore/concentrate was carried out in500g batches under mild acidic pH Table1

Analysis of the as-received ore

Constituent Amount present Au 1.4g/t

S0.880wt.% Cu0.021wt.%

Ni0.025wt.% Fe11.80wt.%

D.S.R.Murthy et al./Hydrometallurgy68(2003)125–130 126

conditions in a 7.0-L capacity Parr autoclave under oxygen pressure at 150j C,10atm pressure for 2h.Roasting of the ‘‘as-received’’ore/concentrate was conducted in a muffle furnace at 750j for 2h,with frequent rabbling.All the experiments were conducted in duplicate,whereas leaching tests were carried out in triplicate and the average results are presented.

3.Results and discussion 3.1.Material characterisation

Mineralogical as well as XRD studies were carried out on the ‘‘as-received’’ore,whereas only XRD studies were conducted on the flotation concentrate.From the megascopic/hand specimen studies,it is inferred that the ‘‘as-received’’ore is a quartz–biotite schist.Microscopic studies of the polished sections indicated the presence of pyrite as the main sulphide mineral with traces of chalcopyrite.No other sulphide mineral or any native gold was observed.The pyrite in the sample was present along the grain boundaries and inter-granular spaces of the silicates.Rarely they were present as inclusions within the silicates.The grain size of these pyrites is between 5and 25A m and most probably,these pyrites may contain some gold in them.The liberation size of these pyrites is below 150mesh (100A m).

The X-ray diffraction patterns of the head sample as well as the flotation concentrate,which are shown in Figs.1and 2,indicated quartz as the major mineral with subordinate amounts of biotite.The presence of pyrite or chalcopyrite could not be detected in the XRD pattern of the head sample because of their low con-centrations.However,in the flotation concentrate,sulphide mineral phases such as pyrite and chalcopyrite could be identified along with quartz and biotite.Since no gold phase could be identified,it was concluded that the gold present in the sample was of invisible type.3.2.Physical beneficiation

3.2.1.Froth flotation

Since the head sample contained around 0.88%of sulphur,it was decided to use froth flotation to collect the sulphide minerals and thereby generate a sulphide concentrate with enhanced gold assay values.One hundred kilograms of the head sample was drawn from the bulk sample by the coning and quartering method and was used for the further studies.3.3.Grind variation studies

A series of grind variation studies were conducted using 1kg batches of wet ground samples.Grinding was done in a Denver rod mill for different lengths of time i.e.5,8and 11min and the fineness in terms of %–200mesh (Tyler)(74A m)was noted.The

ground

Fig.1.XRD pattern of the ‘‘as-received’’

ore.

Fig.2.XRD pattern of the flotation concentrate.

D.S.R.Murthy et al./Hydrometallurgy 68(2003)125–130127

material was subjected to froth flotation in a Wemco (Fagergren)flotation cell under conditions mentioned in Table2.Sodium silicate was used to depress the silicate minerals.Sodium isopropyl xanthate(SIPX)

as collector and pine oil as frother were used.The flotation experiments were conducted both in acidic and alkaline pH conditions.Three floats(concen-trates)and one tail were collected for each grind. All three concentrates were mixed and analysed for sulphur.These results are presented in Table3,from where,it can be seen that the concentrates obtained at 65.5%–200mesh size(74A m)analysed2.30%S and the yield was12.4%by weight.Though there was up-grading in the sulphur content,the yield was not encouraging and this may be due to coarse grinding. In the experiments conducted with77.8%–200mesh (74A m),there was marked improvement both in the sulphur content and yield.Further experiments con-ducted with still finer size,i.e.86.1%–200mesh (74A m)resulted in poor yield of sulphur.Hence,a grind of77.8%–200mesh(74A m)was chosen for further flotation experiments.

3.4.Optimisation of collector dosage

The dosage of the collector was varied between0.06 and0.18kg/t and that of the pine oil was maintained at 0.05kg/t.These results are presented in Table4which shows that the flotation concentrate obtained with0.06 kg/t of collector dosage was not encouraging since its sulphur assay was only1.79%though the yield was appreciable.When the collector dosage was increased to0.12kg/t,an increase in the sulphur assay of the floats coupled with reasonable yield of sulphur was

Table2

Flotation conditions used

Reagent Quantity

(kg/t)Conditioning

time(min)

Flotation

time(min)

Product

Sodium

silicate

1.0002––SIPX0.0402–

Pine oil0.0171/22Float I SIPX0.0402–

Pine oil0.0171/22Float II SIPX0.0402–

Pine oil0.0171/22Float III

Table3

Results obtained on grind variation studies a

Time(min)/grind size %–200mesh(74A m)Product Wt.(%)Assay

(%)S

Dist.

(%)S

5/65.5Floats12.4 2.3032.0

Tails87.60.6968.0

Head

(Calc.)

100.00.89100.0

8/77.8Floats19.8 2.5356.0

Tails80.20.4644.0

Head

(Calc.)

100.00.89100.0 11/86.1Floats11.8 2.4032.4

Tails88.20.6767.6

Head

(Calc.)

100.00.87100.0

a Average values of two tests.Table4

Results obtained with variation in collector dosages a

Collector

dosage(kg/t)

Product Wt.(%)Assay

(%)S

Dist.

(%)S 0.06Floats21.3 1.7943.9

Tails78.70.6256.1

Head

(Calc.)

100.00.87100.0

0.12Floats19.8 2.5356.0

Tails80.20.4644.0

Head

(Calc.)

100.00.89100.0

0.18Floats26.4 2.6148.7

Tails83.60.5451.3

Head

(Calc.)

100.00.87100.0

a Average values of two tests.

Table5

Results with various frother dosages a

Frother

dosage(kg/t)

Product Wt.(%)Assay

(%)S

Dist.

(%)S 0.025Floats22.4 2.2757.7

Tails77.60.4842.3

Head

(Calc.)

100.00.88100.0

0.050Floats19.8 2.5356.0

Tails80.20.4644.0

Head

(Calc.)

100.00.89100.0 0.075Floats15.9 2.4346.6

Tails84.10.5755.4

Head

(Calc.)

100.00.87100.0

a Average values of two tests.

D.S.R.Murthy et al./Hydrometallurgy68(2003)125–130 128

found.Further experiments with0.18kg/t of collector dosage were not encouraging.Therefore,0.12kg/t of

collector was considered to be suitable.

3.5.Optimisation of frother dosage

In order to establish the ideal frother dosage, flotation experiments were conducted with optimum grind and collector dosage,while the frother,pine oil was varied in the range of0.025–0.075kg/t.These results are presented in Table5based on which,it was established that the suitable frother dosage was 0.05kg/t.

3.6.Bulk production of the concentrate

Bulk sulphide flotation experiments were con-ducted in a Denver unit cell under the optimum conditions established earlier(grind size77.8%–200 mesh(74A m),collector0.12kg/t and frother0.05 kg/t).The bulk rougher concentrate was further up-graded by adopting one cleaning stage without using any reagents.The products were analysed for both sulphur as well as gold contents.The average values of the results obtained in these experiments are presented in Table6from where,it can be seen that the sulphide concentrate obtained analysed4.30%S,and6.10g/t Au with sulphur and gold yields of86.5%and75.6%, respectively.The concentrate thus obtained was used in the subsequent leaching experiments.The chemical analysis of this concentrate is shown in Table7.

3.7.Leaching of gold

Leaching of gold was carried out in acidic thiourea solutions in the presence of ferric ion.Leaching conditions were maintained identical in all the experi-ments.The results obtained on the leaching of the‘‘as-received’’ore and the pre-oxidised ore using roasting/ pressure oxidation are shown in Table8from where it can be seen that the roasted ore has resulted in63.4% gold extraction,whereas the pressure oxidised ore has yielded67.5%gold extraction,as against16.4%gold extraction obtained in the direct leaching of the‘‘as-received’’ore.

The results obtained on the leaching of the flotation concentrate after pre-oxidation using roasting/pressure oxidation are presented in Table9from where it can be observed that with calcination,the gold extraction

Table6

Results of bulk flotation with one cleaning a

Grind used Product Wt.Assay Dist.(%)

%–200mesh (74A m)(%)S

(%)

Au

(g/t)

S Au

77.8Conc.17.8 4.30 6.1086.575.6

Middlings27.80.170.80 5.315.5

Tailings51.40.140.258.28.9

Head

(Calc.)

100.00.88 1.44100100

a Average values of two tests.

Table7

Analysis of the flotation concentrate

Constituent Amount present Au 6.1g/t

S 4.30wt.%

Cu0.15wt.%

Ni0.18wt.%

Fe21.30wt.%Table8

Thiourea leaching of the‘‘as-received’’gold ore a

Nature of

the ore used

Assay of

gold in the

starting material

Assay of

gold in the

leach residue

%Gold

extracted b

As-received 1.4 1.1716.4 Calcined 1.40.5163.4 Pressure

oxidised

1.40.4567.5

Amount of ore taken=500g,solid/liquid ratio=1:4,concentration of thiourea=0.15M,concentration of ferric sulphate=0.012M. Temperature=25j C.

a Average of three separate leaching experiments.

b Based on the fire assay of the leach residue.

Table9

Thiourea leaching of the gold concentrate a

Nature of

the concentrate

Assay of gold

in the starting

material(g/t)

Assay of

gold in the

leach(g/t)

%Gold

extracted b

Roasted 6.10.2396.2 Pressure oxidised 6.10.1298.0 Amount of concentrate taken=500g,solid/liquid ratio=1:4, concentration of thiourea=0.15M,concentration of ferric sulphate=0.012M.Temperature=25j C.

a Average of three separate leaching experiments.

b Based on the fire assay of the leach residue.

D.S.R.Murthy et al./Hydrometallurgy68(2003)125–130129

was96.2%,whereas the pressure oxidised concen-trates has given a gold extraction of98.0%.Taking into account that the percent distribution of gold recorded into the flotation concentrate was75.6%, the overall gold extractions obtained in the thiourea leaching of the pre-oxidised concentrate using roast-ing and pressure oxidation are found to be72.7%and 74.1%,respectively.

4.Conclusions

It has been possible to physically beneficiate a low-grade refractory gold ore with 1.4g/t of gold to generate a sulphide concentrate containing6.1g/t of gold by froth flotation technique.Direct thiourea leaching of the‘‘as-received’’ore has given a gold extraction of only16.4%while pre-oxidised ore has yielded gold recoveries of63.4%and67.5%,corre-sponding to roasting and pressure oxidation,respec-tively.Leaching of the flotation concentrate after pre-oxidation resulted in gold recoveries of72.7%and 74.1%,with respect to roasting and pressure oxida-tion.Physical beneficiation of the ore followed by subsequent leaching of the gold concentrate was found to be effective because of the dual advantages of handling a much smaller amount of material during leaching coupled with higher recoveries of gold than the direct use of the ore itself.As a pre-oxidation technique,pressure oxidation was found to be slightly more effective than roasting. Acknowledgements

The authors are thankful to Prof.S.P.Mehrotra, Director,National Metallurgical Laboratory,Jamshed-pur for his keen interest in this work and permission to publish this paper.References

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生成m序列与gold序列

一、生成m序列 function [mseq] = m_sequence(fbconnection); n = length(fbconnection); N = 2^n-1; %m序列的长度 register = [zeros(1,n - 1) 1]; %定义移位寄存器的初始状态 mseq(1)= register(n); %m序列的第一个输出码元 for i = 2:N newregister(1)= mod(sum(fbconnection.*register),2); %寄存器与反馈的模2和 for j = 2:n, newregister(j)= register(j-1); end; register = newregister; %移位后的寄存器 mseq(i) = register(n); %新的寄存器输出 end clear all; close all; clc; fbconnection=[0 0 1 0 1]; %输入本原多项式系数,从C1开始 m_sequence=m_sequence(fbconnection); stem(m_sequence); %对m序列绘图 axis([0 35 -0.2 1.2]); grid on;

二、生成gold序列 function goldseq = g_sequence(connection1,connection2); msequence1 = m_sequence(connection1); %生成第一个m序列 msequence2 = m_sequence(connection2); %生成第二个m序列 N=2^length(connection1)-1; %gold序列长度 for i = 1:N; s = mod(msequence1+msequence2,2); %两个m序列模二加产生gold序列 goldseq = s; end clear all; close all; clc; connection1=[0 0 0 0 1 1]; connection2=[1 0 0 1 1 1]; goldseq = g_sequence(connection1,connection2);

The way常见用法

The way 的用法 Ⅰ常见用法: 1)the way+ that 2)the way + in which(最为正式的用法) 3)the way + 省略(最为自然的用法) 举例:I like the way in which he talks. I like the way that he talks. I like the way he talks. Ⅱ习惯用法: 在当代美国英语中,the way用作为副词的对格,“the way+ 从句”实际上相当于一个状语从句来修饰整个句子。 1)The way =as I am talking to you just the way I’d talk to my own child. He did not do it the way his friends did. Most fruits are naturally sweet and we can eat them just the way they are—all we have to do is to clean and peel them. 2)The way= according to the way/ judging from the way The way you answer the question, you are an excellent student. The way most people look at you, you’d think trash man is a monster. 3)The way =how/ how much No one can imagine the way he missed her. 4)The way =because

扩频编码M序列和gold序列

M序列 由n级移位寄存器所能产生的周期最长的序列。这种序列必须由非线性移位寄存器产生,并且周期为2n(n 为移位寄存器的级数)。例如,考察图中a的非线性反馈移位寄存器,其状态转移关系如表:

状态(a k-3,a k-2,a k-1)的接续状态是(a k-2,a k-1,a k),其中a k=a k-3嘰a k-1嘰1嘰a k-2a k-1是一种非线性逻辑。从任一状态出发,例如从(000)出发,其接续状态恰好构成一个完全循环(图b),由此产生一个周期为23=8的3级序列。M序列最早是用抽象的数学方法构造的。它出现于组合数学的一些数学游戏中,例如L.欧拉关于哥尼斯堡的七桥问题等。后来发现这种序列具有某些良好的伪随机特性。例如,M序列在一个周期中,0与1的个数各占一半。同时,同样长度的0游程与1游程也各占一半。所有这些性质在数据通信、自动控制、光学技术和密码学诸领域中均有重要应用。 隐蔽通信内容的通信方式。为了使非法的截收者不能理解通信内容的含义,信息在传输前必须先进行各种形式的变化,成为加密信息,在收信端进行相应的逆变化以恢复原信息。电报通信、电话通信、图像通信和数据通信,都有相应的保密技术问题。另一方面,为了从保密通信中获得军事、政治、经济、技术等机密信息,破译技术也在发展。保密技术和破译技术是在相互对立中发展起来的。 1881年世界上出现了第一个电话保密专利。电话保密开始是采用模拟保密或置乱的方法,即把话音的频谱或时间分段打乱。置乱后的信号仍保持连续变化的性质。在第二次世界大战期间,频域和时域的置乱器在技术上已基本成熟。70年代以来,由于采用集成电路,电话保密通信得到进一步完善。但置乱器仍是有线载波和短波单边带电话保密通信的主要手段。模拟保密还可以采用加噪声掩盖、人工混响或逆向混响等方法,但因恢复后话音的质量大幅度下降或保密效果差,这些方法没有得到推广应用。数字保密是由文字密码发展起来的。数字信号(包括由模拟信号转换成的数字信号),由相同速率的密码序列加密,成为数字保密信号;保密信号传输到收信端后由同一密码序列去密,恢复原数字信号。随着集成电路的发展,数字保密通信已成为保密通信的主要发展方向。话音、图像等模拟信号都可以用数字保密方式。一般来说,数字破译要比模拟破译困难得多。数字保密的主要限制是传输数字信号所需带宽要比传输模拟信号的带宽大好多倍。 模拟保密通信话音信号置乱后的带宽基本保持不变,这是模拟保密通信的一个特点。但是,置乱后恢复的话音质量有所下降。置乱的过程越复杂,则话音质量下降的程度越大。 倒频用倒频器(图1)把话音频谱颠倒过来,使高频变为低频,低频变为高频,这是最简单的一种频域置乱方法。频域置乱器的基本电路是平衡调制器和带通滤波器。平衡调制器可以搬移和倒置频谱,而滤波器可以滤取所需要的频谱成分。输入的话音信号经过平衡调制器后输出上、下两个边带。适当地选择

实时频谱仪—工作原理

实时频谱分析仪(RTSA),这是基于快速傅利叶(FFT)的仪表,可以实时捕获各种瞬态信号,同时在时域、频域及调制域对信号进行全面分析,满足现代测试的需求。 一、实时频谱分析仪的工作原理 在存在被测信号的有限时间内提取信号的全部频谱信息进行分析并显示其结果的仪器主要用于分析持续时间很短的非重复性平稳随机过程和暂态过程,也能分析40兆赫以下的低频和极低频连续信号,能显示幅度和相位。 傅里叶分析仪是实时式频谱分析仪,其基本工作原理是把被分析的模拟信号经模数变换电路变换成数字信号后,加到数字滤波器进行傅里叶分析;由中央处理器控制的正交型数字本地振荡器产生按正弦律变化和按余弦律变化的数字本振信号,也加到数字滤波器与被测信号作傅里叶分析。正交型数字式本振是扫频振荡器,当其频率与被测信号中的频率相同时就有输出,经积分处理后得出分析结果供示波管显示频谱图形。正交型本振用正弦和余弦信号得到的分析结果是复数,可以换算成幅度和相位。分析结果也可送到打印绘图仪或通过标准接口与计算机相连。 二、实时频谱分析仪中的数字信号处理技术 1. IF 数字转换器 一般会数字化以中间频率(IF)为中心的一个频段。这个频段或跨度是可以进行实时分析的最宽的频率范围。在高IF 上进行数字转换、而不是在DC 或基带上进行数字转换,具有多种信号处理优势(杂散性能、DC抑制、动态范围等),但如果直接处理,可能要求额外的计算进行滤波和分析。 2. 采样 内奎斯特定理指出,对基带信号,只需以等于感兴趣的最高频率两倍的速率取样 3. 具有数字采集的系统中触发 能够以数字方式表示和处理信号,并配以大的内存容量,可以捕获触发前及触发后发生的事件。数字采集系统采用模数转换器(ADC),在深内存中填充接收的信号时戳。从概念上说,新样点连续输送到内存中,最老的样点将离开内存。

基于5级m序列的探究及仿真

通信系统综合设计与实践 题目基于5级m序列 的反馈系数的探究 院(系)名称信息工程学院 专业名称通信工程 学生姓名金宇、张艳丽、赵春阳 学生学号090110079、090110085、090110026 指导教师赵春雨 2012年05月21日

目录 1背景及原理 (1) 1.1探究n级m序列的反馈系数背景及目的 (1) 1.2 生成m序列的原理及方法 (1) 2 确定反馈系数的方法 (3) 2.1 判断本原多项式的方法 (3) 2.2 基于5级循环序列发生器特征方程组中满足本原多项式的反馈系数的分 析 (3) 2.3 基于5级循环序列发器反馈系数的程序 (5) 3 m序列的相关性质 (8) 3.1 m序列的性质 (8) 3.2 不同反馈系数对应m序列的性质的分析 (8) 3.2.1、平衡性 (8) 3.2.2、自相关性 (9) 3.2.3 互相关性分析 (12) 4 不同反馈系数对应的m序列对扩频通信系统抗干扰性能影响 (16) 4.1 m序列在直接序列扩频通信系统应用的simulink的仿真观察 (16) 4.2 不同/相同长度的不同m序列对扩频通信系统性能影响的matlab的仿 真 (19) 总结 (22) 参考文献 (23) 附录 (24) 附录A (24) 附录B (24) 附录C (25) 附录D (26) 指导教师评语: (31)

基于5级m序列的反馈系数的探究 摘要 m序列易于从干扰信号中被识别和分离出来,又可以方便地产生和重复,有随机噪声的优点,易于实现相关接受或匹配接受, 因此伪随机序列在相关辩识、伪码测距、扩频通信、多址通信、分离多径、误码测试、数据加扰、信号同步等方面均有广泛的应用。n级循环序列生成器生成m序列和自身的反馈系数密切相关,本文我们提供了n级循环序列发生器能产生m序列的反馈系数的判断方法,及分析了不同的反馈系数对扩频通信系统性能的影响,并在matlab环境下运行了模拟仿真。 首先,我们利用本原多项式生成算法,确定一个伪随机序列的特征方程中对应的m序列,进而确定相关m序列的反馈系数。又对m序列的性质进行的相关分析,我们得出了m序列平衡性为1,m序列越尖锐自相关性越明显,且仅在k=0时出现峰值。我们又进一步利用matlab仿真并分析不同m序列在直接扩频通信系统中的仿真,我们可知在实际应用中选择自相关性大、互相关小的m序列作为扩频序列,另外m序列越长可以提高系统的抗干扰能力、降低系统的误码率及增加系统的容量,由此选择最佳的反馈系数生成最优的m序列对于提高扩频通信系统性能指标具有非常重要的意义。 关键词: 伪随机序,m序列,反馈系数,仿真

The way的用法及其含义(二)

The way的用法及其含义(二) 二、the way在句中的语法作用 the way在句中可以作主语、宾语或表语: 1.作主语 The way you are doing it is completely crazy.你这个干法简直发疯。 The way she puts on that accent really irritates me. 她故意操那种口音的样子实在令我恼火。The way she behaved towards him was utterly ruthless. 她对待他真是无情至极。 Words are important, but the way a person stands, folds his or her arms or moves his or her hands can also give us information about his or her feelings. 言语固然重要,但人的站姿,抱臂的方式和手势也回告诉我们他(她)的情感。 2.作宾语 I hate the way she stared at me.我讨厌她盯我看的样子。 We like the way that her hair hangs down.我们喜欢她的头发笔直地垂下来。 You could tell she was foreign by the way she was dressed. 从她的穿著就可以看出她是外国人。 She could not hide her amusement at the way he was dancing. 她见他跳舞的姿势,忍俊不禁。 3.作表语 This is the way the accident happened.这就是事故如何发生的。 Believe it or not, that's the way it is. 信不信由你, 反正事情就是这样。 That's the way I look at it, too. 我也是这么想。 That was the way minority nationalities were treated in old China. 那就是少数民族在旧中

m序列和Gold序列特性研究

扩频通信实验报告 - I- Harbin Institute of Technology 扩频通信实验报告 课程名称: 扩频通信 实验题目: Gold 码特性研究 院 系: 电信学院 班 级: 通信一班 姓 名: 学 号: 指导教师: 迟永钢 时 间: 2012年5月8日 哈尔滨工业大学

第1章实验要求 1.以r=5 1 45E为基础,抽取出其他的m序列,请详细说明抽取过程; 2.画出r=5的全部m序列移位寄存器结构,并明确哪些序列彼此是互反多项式; 3.在生成的m序列集中,寻找出m序列优选对,请确定优选对的数量,并画 出它们的自相关和互相关函数图形; 4.依据所选取的m序列优选对生成所有Gold序列族,确定产生Gold序列族的 数量,标出每个Gold序列族中的所有序列,并实例验证族内序列彼此的自相关和互相关特性; 5.在生成的每个Gold序列族内,明确标出平衡序列和非平衡序列,并验证其 分布关系。 6.完整的作业提交包括:纸质打印版和电子版两部分,要求两部分内容统一, 且在作业后面附上源程序,并加必要注释。 7.要求统一采用Matlab软件中的M文件实现。

第2章 实验原理 2.1 m 序列 二元m 序列是一种伪随机序列,有优良的自相关函数,是狭义伪随机序列。m 序列易于产生于复制,在扩频技术中得到了广泛应用。 2.1.1 m 序列的定义 r 级非退化的移位寄存器的组成如图1所示,移位时钟源的频率为c R 。r 级线性移位寄存器的反馈逻辑可用二元域GF(2)上的r 次多项式表示 2012() {0,1}r r i f x c c x c x c x c =++++∈ (1) 图 2-1 r 级线性移位寄存器 式(1)称为线性移位寄存器的特征多项式,其给出的表示反馈网络的而逻辑关系式是现行的。因此成为线性移位寄存器。否则称为,非线性移位寄存器。 对于动态线性移位寄存器,其反馈逻辑也可以用线性移位寄存器的递归关系式来表示 112233 {0,1}i i i i r i r i a c a c a c a c a c ----=++++∈ (2) 特征多项式(1)与递归多项式(2)是r 级线性移位寄存器反馈逻辑的两种不同种表示法,因其应用的场合不同而采用不同的表示方法。以式(1)为特征多项式的r 级线性反馈移位寄存器所产生的序列,其周期21r N ≤-。假设以GF(2)域上r 次多项式(1)为特征多项式的r 级线性移位寄存器所产生的非零序列{}i a 的周期为21r N =-,称序列为{}i a 是最大周期的r 级线性移位寄存器序列,简称m 序列。

m序列Simulink仿真实现

m序列Simulink仿真Verilog实现1. 4阶m序列生成器

Simulink模型如下: 其中,可以在Unit Delay属性中设置初始值为1000,由于Unit Delay输出为double,所以要将其转为Boolean以便进行模二加运算,使用XOR实现。

下面分别是最后一级和所有级的输出波形,可以看出,与上面的是一致的。

Verilog实现 `timescale 1ns / 1ps ////////////////////////////////////////////////////////////////////////////////// // Company: // Engineer: // // Create Date: 11:02:17 05/01/2012 // Design Name: // Module Name: PNcode // Project Name: ////////////////////////////////////////////////////////////////////////////////// module PNcode( clk, rst, PNstate, PNout

); input clk; input rst; output PNstate; output PNout; // PN code n = 4, f(x) = 1 + x + x^4 parameter order = 4; reg PNout = 0; reg [order-1 : 0] PNstate = 0; always @ (posedge clk) if(rst == 1) begin PNout <= 0; PNstate <= 4'b1000; // PN seed = b1000 end else begin PNout <= PNstate[0]; PNstate <= {PNstate[3]+PNstate[0], PNstate[3:1]}; end endmodule 测试文件: `timescale 1ns / 1ps //////////////////////////////////////////////////////////////////////////////// // Company: // Engineer: // // Create Date: 14:37:43 05/01/2012 // Design Name: PNcode // Module Name: E:/me/CAST/Project/FPGAcomm/PNcode/PNcode_tb.v

(完整版)the的用法

定冠词the的用法: 定冠词the与指示代词this ,that同源,有“那(这)个”的意思,但较弱,可以和一个名词连用,来表示某个或某些特定的人或东西. (1)特指双方都明白的人或物 Take the medicine.把药吃了. (2)上文提到过的人或事 He bought a house.他买了幢房子. I've been to the house.我去过那幢房子. (3)指世界上独一无二的事物 the sun ,the sky ,the moon, the earth (4)单数名词连用表示一类事物 the dollar 美元 the fox 狐狸 或与形容词或分词连用,表示一类人 the rich 富人 the living 生者 (5)用在序数词和形容词最高级,及形容词等前面 Where do you live?你住在哪? I live on the second floor.我住在二楼. That's the very thing I've been looking for.那正是我要找的东西. (6)与复数名词连用,指整个群体 They are the teachers of this school.(指全体教师) They are teachers of this school.(指部分教师) (7)表示所有,相当于物主代词,用在表示身体部位的名词前 She caught me by the arm.她抓住了我的手臂. (8)用在某些有普通名词构成的国家名称,机关团体,阶级等专有名词前 the People's Republic of China 中华人民共和国 the United States 美国 (9)用在表示乐器的名词前 She plays the piano.她会弹钢琴. (10)用在姓氏的复数名词之前,表示一家人 the Greens 格林一家人(或格林夫妇) (11)用在惯用语中 in the day, in the morning... the day before yesterday, the next morning... in the sky... in the dark... in the end... on the whole, by the way...

Gold序列的仿真研究

Gold序列的仿真研究 Gold序列的仿真研究 摘要: Gold序列是R·Gold提出的一种基于m序列的码序列,这种序列有较优良的自相关和互相关特性,构造简单,产生的序列数多,因而获得了广泛的应用。本文对Gold序列进行仿真研究,首先介绍了扩频通信中常用的m序列和Gold序列码产生的方法原理和性质,运用Matlab对Gold码的生成和性能进行了仿真分析。 关键词:伪随机序列;Gold序列;m序列;Matlab仿真 SIMULATION OF GOLD SEQUENCES Abstract:Gold sequences is proposed by R ? Gold which is based on m sequences. Gold sequences has good properties, such as good autocorrelation and cross-correlation, easy to construct and more sequences, etc, therefore it has wide applications. This paper investigates the Gold sequences. The principle and performance of m sequences and Gold sequences in spread spectrum communication are first introduced in the paper. Simulation by Matlab is also provided in the paper to analyze the nature of Gold sequences. Key words: Pseudo-random sequence;Gold sequence;m sequence;Matlab simulation

Gold序列与m序列仿真应用

1. 绪论 m 序列具有优良的双值自相关特性,但互相关特性不是很好。作为CDMA 通信地址码时,由于互相关特性不理想,使得系统内多址干扰影响增大,且可用地址码数量较少。在某些应用场合,利用狭义伪随机序列复合而成复合序列更为有利。这是因为通过适当方法构造的复合序列具有某些特殊性质。Gold 序列就是一种复合序列,而且具有良好的自相关与互相关特性,地址码数量远大于m 序列,且易于实现、结构简单,在工程上得到广泛应用。 表1是m 序列和Gold 序列的主要性能比较,表中max ?为m 序列的自相关峰值,(0)s ?为自相关主峰;()t n 为Gold 序列的互相关峰值,(0)g ?为其自相关主峰。从表1中可以看出:当级数n 一定时,Gold 序列中可用序列个数明显多于m 序列数,且Gold 序列的互相关峰值和主瓣与旁瓣之比都比m 序列小得多,这一特性在实现码分多址时非常有用。 表1. m 序列和Gold 序列性能比较 在引入Gold 序列概念之前先介绍一下m 序列优选对。m 序列优选对,是指在m 序列集中,其互相关函数绝对值的最大值(称为峰值互相关函数)max ()R τ最接近或达到互相关值下限(最小值)的一对m 序列。 设{a i }是对应于r 次本原多项式F 1(x )所产生的m 序列, {b i } 是另一r 次本原多项式F 2(x )产生的m 序列,峰值互相关函数满足 12 max 2 221()214r ab r r R τr ++?+?≤??+? 为奇数 为偶数但不是的整倍数 (1) 则m 序列{a i }与{b i }构成m 序列优选对。 例如:6r =的本原多项式61()1F x x x =++与6522()1F x x x x x =++++所产生的m 序列{}i a 与{}i b ,其峰值互相关函数2622 2 max ()172 12117r ab R τ++=≤+=+=。满足式(1) ,故{}i a 与{}i b 构成m 序列优选对。而本原多项式65323()1F x x x x x =++++所产生的m 序列 {}i c ,与m 序列{}i a 的峰值互相关函数max ()2317ac R τ=>,不满足上式,故{}i a 与{}i c 不 是m 序列优选对。 2. Gold 序列 1967年,R·Gold 指出:“给定移位寄存器级数r 时,总可找到一对互相关函数值是最小的码序列,采用移位相加方法构成新码组,其互相关旁瓣都很小,且自相关函数和互相关函数均有界”。这样生成的序列称为Gold 码(Gold 序列)。 Gold 序列是m 序列的复合序列,由两个码长相等、码时钟速率相同的m 序列优选对的模2

基于MATLAB的m序列产生

第一章设计内容及要求 基于MATLAB产生m序列 要求: 1.通过matlab编程产生m序列的产生原理及其产生方法。 2.对特定长度的m序列,分析其性质,及其用来构造其它序列的方法。

第二章m序列设计方案的选择 2.1 方案一 MATLAB编程非常简单,无需进行变量声明,可以很方便的实现m序列。 2.2 方案二 图2.1 Simulink实现m序列 Simulink是MATLAB最重要的组件之一,它提供了一个动态系统建模,仿真和综合分析的集成环境。在此环境中无需大量书写程序,而只需通过简单直观的鼠标操作,就可构造出复杂的系统。Simulink具有适应性广,结构及流程清晰及仿真精细等优点,基于以上优点,Simulink已被广泛的运用到控制理论和数字信号处理的复杂仿真和设计。 通过比较方案一和方案二,发现方案一的有点具有通用性而方案二利用MATLAB的Simulink直接搭建模块,在移位寄存器较少的情况下利用此方法比较简单,可是当移位寄存器的个数增多时,要搭建那么多的模块就显的很繁琐了,缺乏通用性,因此本次实验选择方案一。

第三章m序列的产生及性质 3.1 m序列的产生原理、结构及产生 m序列是最长线性反馈移位寄存器序列的简称,m序列是由带线性反馈的移位寄存器产生的。 由n级串联的移位寄存器和反馈逻辑线路可组成动态移位寄存器,如果反馈逻辑线路只由模2和构成,则称为线性反馈移位寄存器。 带线性反馈逻辑的移位寄存器设定初始状态后,在时钟触发下,每次移位后各级寄存器会发生变化,其中任何一级寄存器的输出,随着时钟节拍的推移都会产生一个序列,该序列称为移位寄存器序列。 n级线性移位寄存器的如图3.1所示: ◇A 图3.1 n级线性移位寄存器 图中C i表示反馈线的两种可能连接方式,C i=1表示连线接通,第n-i 级输出加入反馈中;C i=0表示连线断开,第n-i级输出未参加反馈。 因此,一般形式的线性反馈逻辑表达式为 ------表达式3.1将等式左边的a n移至右边,并将a n=C0a n(C0=1)带入上式,则上式可以 写成 -------表达式3.2 定义一个与上式相对应的多项式 --------表达式3.3 其中x的幂次表示元素的相应位置。该式为线性反馈移位寄存器的特征

“the way+从句”结构的意义及用法

“theway+从句”结构的意义及用法 首先让我们来看下面这个句子: Read the followingpassageand talkabout it wi th your classmates.Try totell whatyou think of Tom and ofthe way the childrentreated him. 在这个句子中,the way是先行词,后面是省略了关系副词that或in which的定语从句。 下面我们将叙述“the way+从句”结构的用法。 1.the way之后,引导定语从句的关系词是that而不是how,因此,<<现代英语惯用法词典>>中所给出的下面两个句子是错误的:This is thewayhowithappened. This is the way how he always treats me. 2.在正式语体中,that可被in which所代替;在非正式语体中,that则往往省略。由此我们得到theway后接定语从句时的三种模式:1) the way+that-从句2)the way +in which-从句3) the way +从句 例如:The way(in which ,that) thesecomrade slookatproblems is wrong.这些同志看问题的方法

不对。 Theway(that ,in which)you’re doingit is comple tely crazy.你这么个干法,简直发疯。 Weadmired him for theway inwhich he facesdifficulties. Wallace and Darwingreed on the way inwhi ch different forms of life had begun.华莱士和达尔文对不同类型的生物是如何起源的持相同的观点。 This is the way(that) hedid it. I likedthe way(that) sheorganized the meeting. 3.theway(that)有时可以与how(作“如何”解)通用。例如: That’s the way(that) shespoke. = That’s how shespoke.

Gold序列产生及其特性实验

湖南科技大学 移动通信实验报告 姓名:吴文建 学号:1208030104 专业班级:应用电子技术教育一班 实验名称:GOLD序列产生及其特性实验 实验目的:1)掌握Gold序列的特性、产生方法及应用。 2) 掌握Gold序列与m序列的区别。 实验仪器:1、pc机一台2、 实验原理: m序列虽然性能优良,但同样长度的m序列个数不多,且m序列之间的互相关函数并不理想(为多值函数)。 1.m序列优选对 m序列优选对是指在m序列集中,其互相关函数最大值的绝对值满足下式的两条n介m序列: 2.Gold序列的产生方法 Gold序列是m序列的组合序列,由同步时钟控制的两个码元不同的m序列优选对逐位模2加得到。这两个序列发生器的周期相同,速率相同,因而两者保持一定的相位关系,这样产生的组合序列与这两个自序列的周期也相同。当改变两个序列的相对位移,会得到一个新的Gold序列。Gold序列具有以下性质: (1)两个m序列优选对经不同移位相加产生的新序列都是Gold序列,两个n级移位寄存器可以产生2n+1个Gold序列,周期均为2n?1。 (2)Gold序列的周期性自相关函数是一个三值函数,与m序列相比,具有良好的互相关特性。 Gold序列的产生有两种形式:并联形式和串联形式 实验步骤: 1.预习Gold序列的产生原理及性质及独立设计Glod序列产生方法。 2.画出Gold序列仿真流程图。

3.编写MATLAB程序并上机调试。 4.比较m序列与Glod序列的异同。 5.撰写实验报告。 实验数据、结果表达及误差分析: 实验仿真图形如图所示 实验编写程序(此程序在实验五编写程序之上方可运行):function c=gold() n=7; a=[1 1 1 1 1 1 1 1]; co=[]; for v=1:2^n-1 co=[co,a(1)]; a(8)=mod(a(5)+a(1),2); a(1)=a(2); a(2)=a(3); a(3)=a(4); a(4)=a(5); a(5)=a(6); a(6)=a(7); a(7)=a(8); end m1=co; b=[1 0 1 0 0 0 0 1];

幻想战姬竞技场剑系4大战姬推荐

幻想战姬竞技场剑系4大战姬推荐 幻想战姬竞技场剑系4大战姬推荐,推荐幻想战姬竞技场剑系4大战姬。希望这篇幻想战姬竞技场剑系4大战姬推荐,能帮助到各位正在玩幻想战姬的玩家朋友们! 剑系第一名:花嫁妲己 排第一的毫无疑问是花嫁妲己,从属性上来看,姬65的花嫁接近4W血,1600的攻击。从技能上来说,后排主动高倍率全体AOE,被动贯通回能量。从卡面来看,呆萌的新娘子,你还要啥自行车? 这么完美的卡你有什么不练她的理由? 我想很多人都有打死对面三个后被花嫁一个AOE清场的经历,所以,这卡的评价,中低端局有个作为核心卡的能力,高端局则绝对是目前最强辅助。 剑系第二名:孙悟空 首先,大圣的血量足以支撑其撑在前排。并且前排主动技能贯通伤害的倍率也不错,大圣在前排,对对面除妲己以外的盾系职业来说都是毁灭性的打击。唯一的不足就是,大圣的后排技能略逗,放后排没什么意义。

剑系第三名:哪吒 首先我说要,哪吒后排的技能相当不错。在PVE中对很多难啃的BOSS有奇效,许多人都是靠天女和大腿的哪吒过的老牛,而且哪吒的攻击力成长也非常不错。但哪吒这卡有几个不协调的 缺点,首先,作为前排,血过少,不是很能抗,而且作为前排,贯通技能的倍率略感人,作为后排,虽然技能的眩晕3回合对PVP来说十分不错,发动实在太慢,很可能在发动前就会被打飞。

剑系第四名:钟馗姬 说实话,馗姬更适合推图,血量一般,前排AOE技能的倍率也一般。攻击虽然不错,但站不住的话就意义不大了,JJC中用的人也不算多。 最后说几张福袋剑卡

狂欢卡莉: 就是弱化版的后排钟馗姬,PVP价值不大。 心愿土特产: 技能相当优秀,奈何本身属性实在不行,本来是唯一可以痛打盾妲己的存在,奈何从属性上来看却不能对盾妲己造成什么实质的威胁。 华阳: 只能说技能看上很美,但是有两点致命缺点一、横扫回能量只回后排二、和贯通回能量不叠加。所以,实际来说,华阳很鸡肋。 另外,推荐非洲战神之一的赵萌萌,首充即送,初始相阶,成长却意外的还不错,前排技能倍率也很不错,是各位非洲大草原人民最忠实的好朋友,萌萌大法,千秋万代,一统江湖。 责任编辑【威尔】

way 用法

表示“方式”、“方法”,注意以下用法: 1.表示用某种方法或按某种方式,通常用介词in(此介词有时可省略)。如: Do it (in) your own way. 按你自己的方法做吧。 Please do not talk (in) that way. 请不要那样说。 2.表示做某事的方式或方法,其后可接不定式或of doing sth。 如: It’s the best way of studying [to study] English. 这是学习英语的最好方法。 There are different ways to do [of doing] it. 做这事有不同的办法。 3.其后通常可直接跟一个定语从句(不用任何引导词),也可跟由that 或in which 引导的定语从句,但是其后的从句不能由how 来引导。如: 我不喜欢他说话的态度。 正:I don’t like the way he spoke. 正:I don’t like the way that he spoke. 正:I don’t like the way in which he spoke. 误:I don’t like the way how he spoke. 4.注意以下各句the way 的用法: That’s the way (=how) he spoke. 那就是他说话的方式。 Nobody else loves you the way(=as) I do. 没有人像我这样爱你。 The way (=According as) you are studying now, you won’tmake much progress. 根据你现在学习情况来看,你不会有多大的进步。 2007年陕西省高考英语中有这样一道单项填空题: ——I think he is taking an active part insocial work. ——I agree with you_____. A、in a way B、on the way C、by the way D、in the way 此题答案选A。要想弄清为什么选A,而不选其他几项,则要弄清选项中含way的四个短语的不同意义和用法,下面我们就对此作一归纳和小结。 一、in a way的用法 表示:在一定程度上,从某方面说。如: In a way he was right.在某种程度上他是对的。注:in a way也可说成in one way。 二、on the way的用法 1、表示:即将来(去),就要来(去)。如: Spring is on the way.春天快到了。 I'd better be on my way soon.我最好还是快点儿走。 Radio forecasts said a sixth-grade wind was on the way.无线电预报说将有六级大风。 2、表示:在路上,在行进中。如: He stopped for breakfast on the way.他中途停下吃早点。 We had some good laughs on the way.我们在路上好好笑了一阵子。 3、表示:(婴儿)尚未出生。如: She has two children with another one on the way.她有两个孩子,现在还怀着一个。 She's got five children,and another one is on the way.她已经有5个孩子了,另一个又快生了。 三、by the way的用法

GOLD 序列码产生及特性分析实验

实验二 GOLD 序列码产生及特性分析实验 一、实验目的 1. 了解Gold 码的性质和特点; 2. 熟悉Gold 码的产生方法; 二、实验内容 1. 熟悉Gold 码的的产生方法; 2. 测试Gold 码的的波形; 三、实验原理 m 序列虽然性能优良,但同样长度的m 序列个数不多,且m 序列之间的互相关函数值并不理想(为多值函数)。1967年,R .Gold 提出和讨论了一种新的序列,即Gold 码序列。这种序列有较为优良的自相关和互相关特性,构造简单,产生的序列数多,因而得到广泛的应用。 a) m 序列优选对 m 序列优选对是指在m 序列集中,其互相关函数最大值的绝对值满足下式的两条n 阶m 序列: 表2-1给出了部分m 序列优选对。 表2-1 部分优选对码表 级数 基准本原多项式 配对本原多项式 7 211 217,235,277,325,203,357,301,323 9 1021 1131,1333 10 2415 2011,3515,3177 11 4445 4005,5205,5337,5263 2.Gold 码的产生方法 Gold 码是m 序列的组合码,由同步时钟控制的两个码字不同的m 序列优选对逐位模2加得到,其原理如图2-1所示。这两个码发生器的周期相同,速率也相同,因而两者保持一整除为偶数,但不能被位奇数41212)(2/)2(2/)1(n n R n n xy ???++≤++τ

定的相位关系,这样产生的组合码与这两个子码序列的周期也相同。当改变两个m 序列的相对位移时,会得到一个新的Gold 码。Gold 码虽然是m 序列模2加得到的,但它已不再是m 序列,不过仍具有与m 序列近似的优良特性,各个码组之间的互相关特性与原来两个m 序列之间的互相关特性一样,最大的互相关值不会超过原来两个m 序列间最大互相关值。Gold 码最大的优点是具有比m 序列多得多的独立码组。 图2-1 Gold 码序列发生器 Gold 码序列具有以下性质: (1)两个m 序列优选对经不同移位相加产生的新序列都是Gold 序列,两个n 级移位寄存器可以产生2n +1个Gold 序列,周期均为2n -1。 (2)Gold 码序列的周期性自相关函数是一个三值函数,与m 序列相比,具有良好的互相关特性。 Gold 码的产生有两种形式:并联形式和串联形式。例如m 序列本原多项式为:61)(x x x f ++=和6521)(x x x x x f ++++=,构成的并联和串联形式的Gold 码发生器如2-2图所示。(a )为并联形式,(b )为串联形式。 (a )并联结构 (b )串联结构 图2-2Gold 码发生器 (a ) 并联形式(b )串联形式 为了观测方便,本实验用两个周期为31的m 序列优选对采用并联结构产生一个Gold

m序列产生及其特性

一、实验目的 通过本实验掌握m 序列的特性、产生方法及应用。 二、实验内容 1、观察m 序列,识别其特征。 2、观察m 序列的自相关特性。 三、基本原理 m 序列是有n 级线性移位寄存器产生的周期为21n -的码序列,是最长线性移位寄存器序列的简称。码分多址系统主要采用两种长度的m 序列:一种是周期为1521-的m 序列,又称短PN 序列;另一种是周期为 4221-的m 序列,又称为长PN 码序列。m 序列主要有两个功能:①扩展调制信号的带宽到更大的传输带宽, 即所谓的扩展频谱;②区分通过多址接入方式使用同一传输频带的不同用户的信号。 3、m 序列的互相关函数 两个码序列的互相关函数是两个不同码序列一致程度(相似性)的度量,它也是位移量的函数。当使 用码序列来区分地址时,必须选择码序列互相关函数值很小的码,以避免用户之间互相干扰。 研究表明,两个长度周期相同,由不同反馈系数产生的m 序列,其互相关函数(或互相关系数)与自 相关函数相比,没有尖锐的二值特性,是多值的。作为地址码而言,希望选择的互相关函数越小越好,这 样便于区分不同用户,或者说,抗干扰能力强。 在二进制情况下,假设码序列周期为P 的两个m 序列,其互相关函数R xy (τ)为 ()xy R A D τ=- (9-9) 式中,A 为两序列对应位相同的个数,即两序列模2加后“0”的个数;D 为两序列对应位不同的个数, 即两序列模2加后“1”的个数。 为了理解上述指出的互相关函数问题,在此以5n =时由不同的反馈系数产生的两个m 序列为例计算它 们的互相关系数,以进一步讲述m 序列的互相关特性。将反馈系数为8(45)和8(75)时产生的两个5级m 序 列分别记做:1m :1000010010110011111000110111010和2m :111110111000101011010000110100,序列1m 和 2m 的互相关函数如表9-3所示。 表9-3序列1m 和2m 的互相关函数表

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