CN101355374B - Method for generating signal of non-interference quasi-synchronous CDMA communication system - Google Patents
Method for generating signal of non-interference quasi-synchronous CDMA communication system Download PDFInfo
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Abstract
The invention discloses a method for generating a signal for an interference-free quasi-synchronous CDMA communication system. A spectrum spreading sequence encode block is a sequence with the zero correlation property generated by an optimal self-correlation sequence and a Hadamard matrix and is suitable for a quasi-synchronous CDMA communication system. When the maximum synchronous error of the system and the maximum multipath delay of the channel are extended within the regulated range, the interference-free transmission is realized. The parameter of the spectrum spreading sequence encode block and the efficiency of the system can be adjusted in real time according to practical factors and to select flexibly. The method lowers the requirement of the CDMA communication system on the power control and the synchronization, and reduces the complexity of realizing the system.
Description
Technical field
The present invention relates to a kind of direct spreading sequence, particularly a kind of signal creating method of non-interference quasi-synchronous CDMA communication system.
Background technology
In order to reduce the interference in the cdma communication system, people have proposed synchronous CDMA communications system, and the Walsh sign indicating number of employing quadrature or Adachi sign indicating number are as the frequency expansion sequence collection.For GSM, the accurately assurance not too easily synchronously of up link, and also the multipath transmisstion of wireless channel makes system synchronization become difficult more.The intersymbol their cross correlation of Walsh sign indicating number or Adachi sign indicating number only is zero synchronously the time, when between code character when asynchronous cross correlation value non-vanishing, just exist multiple access to disturb.Because the existence of near-far interference with the performance that further reduces synchronous code division multiple access communication system, is restricted power system capacity.In order to alleviate the influence of near-far interference as far as possible, in utility systems such as IS-95, adopted complicated power control techniques.Reduce the requirement of system to synchronization accuracy; The someone proposes synchronously accurate or near-synchronous cdma communication system in recent years; Make the synchronous error of system be controlled within the certain limit (like one or several chip period), and on Spreading Sequences Designs, launched research work.
To this situation, designed spread spectrum sequence code group (this sequence has minimum or desirable correlation function near the certain limit zero time delay) in recent years with low/zero correlation block.By means of low/zero-correlation zone sequence code character, can realize that anti-multipath disturbs and the quasi-synchronous CDMA system of superior performance.More existing at present relevant patents like Chinese patent PCT/CN98/00151 (CN1175828A), adopt a kind of ternary frequency expansion sequence collection with zero correlation block; Japan Patent TY99002 (11-023252) adopts a kind of binary frequency expansion sequence collection with zero correlation block; Or the like.
In the ideal case, the frequency expansion sequence collection that uses in the cdma communication system should have following correlation properties: the auto-correlation function of each frequency expansion sequence should be an impulse function, and promptly except that zero time delay, its value should be zero everywhere; The cross-correlation function value of every pair of frequency expansion sequence should be zero everywhere.
Unfortunately, no matter be binary, polynary or sequence of complex numbers, the verified spread spectrum sequence code group with this desirable correlation properties is non-existent.That is to given sequence length N and number M, maximum auto-correlation function limit peak value and maximum cross correlation functional value can not be zero simultaneously, and they receive the restriction of some theoretical circles; When requiring one to diminish, another must increase, like Welch circle; Sidelnikov circle, Sarwate circle etc.
Though can not design spread spectrum sequence code group, can design near zero time delay, have certain-length the zero correlation block or the spread spectrum sequence code group of low relevant area with desirable auto-correlation and their cross correlation.This respect has had some paper publishings.For example, " A generalized QS-CDMA system and the designof new spreading codes, IEEE Trans.on Vehicular Technology, vol.47; no.4, pp.1268-1275, November 1998 (a kind of popularization QS-CDMA system and novel spreading code design; IEEE vehicle technology transactions, the 47th volume, the 4th phase; 1268-1275 page or leaf, in November, 1998) " proposed the method that a kind of design has the spread spectrum sequence code group of low relevant area; " A class of binarysequences with zero correlation zone, IEE Electronics Letters, vol.35; no.10, pp.777-779, May 1999 (one type of binary sequence with zero correlation block; IEE electronics wall bulletin, the 35th volume, the 10th phase; 777-779 page or leaf, in May, 1999) " provided a kind of binary complementary series that utilizes to designing the method for the spread spectrum sequence code group with zero correlation block; " Lower bounds on thecorrelation of sequence set with low or zero correlation zone, IEEElectronics Letters, vol.36; no.6, pp.551-552, Mar 2000 (the correlation lower limit of low/zero-correlation zone sequence; IEE electronics wall bulletin, the 36th volume, the 6th phase; 551-552 page or leaf, in March, 2000) " provided the theoretical limits about the spread spectrum sequence code group with zero correlation block or low relevant area.
Sequence sets S={S for the frequency expansion sequence that to have M cycle be N
(i), i=1,2 ..., M} presses following formula definition zero correlation block Z
Cz:
Z
Cz=max{T||R
I, j(τ) |=0, wherein
Or
R wherein
I, j(τ) be sequence S
(i)With S
(j)Cross-correlation function value at time delay τ place.According to this definition, we claim that this set of signals S is ZCZ-(N, M, a Z
Cz) the frequency expansion sequence collection.Tang-Fan-Matsufuji circle shows, for any ZCZ-(N, M, Z
Cz) the frequency expansion sequence collection, its parameter all should satisfy MZ
Cz≤N.
Summary of the invention
The purpose of this invention is to provide a kind of simple, easy non-interference quasi-synchronous CDMA communication system signal creating method of realizing and reaching theoretical circles; Make code division multiple address communication system realize noiseless transmission under certain condition; Thereby reduce system to power control and synchronous requirement, the reduction system realizes complexity.
Above-mentioned purpose of the present invention is achieved in that a kind of signal creating method of non-interference quasi-synchronous CDMA communication system, may further comprise the steps:
From having zero correlation section length Z
CZSpread spectrum sequence code group in select spread spectrum code word as spreading code;
Utilize selected spread spectrum code word that the initial data of input is carried out band spectrum modulation processing, generate modulated spread spectrum signal thus;
Wherein, said spread spectrum sequence code group is best autocorrelation sequence and the T=2 of L=m (2k+1) by length
nRank Hadamard matrix construction forms, m>2 wherein, k>=0.
In the signal creating method of non-interference quasi-synchronous CDMA communication system of the present invention, the auto-correlation function of arbitrary sequence has zero correlation block in zero displacement both sides in the said spread spectrum sequence code group.
In the signal creating method of non-interference quasi-synchronous CDMA communication system of the present invention, arbitrary cross-correlation function to sequence has zero correlation block in the zero displacement both sides that comprises zero displacement in the said spread spectrum sequence code group.
In the signal creating method of non-interference quasi-synchronous CDMA communication system of the present invention, in order to eliminate the influence of correlation function aperiodic, can be at the head and the tail two ends of said modulated spread spectrum signal the supplementary protection chip.
The head and the tail two ends additional protection number of chips G of said modulated spread spectrum signal gets and is not more than zero correlation section length Z in the spread spectrum sequence code group
CZArbitrary value.
Wherein, when relative time delay between signal was within the supplementary protection chip lengths, the spread spectrum code word of said spread spectrum sequence code group was a quadrature.
In the signal creating method of non-interference quasi-synchronous CDMA communication system of the present invention, said spread spectrum sequence code group has m * T spread spectrum code word, m>2 wherein, T=2
nEach said spread spectrum code word has L * T chip, and wherein L is the length of said best autocorrelation sequence, and T is a Hadamard order of matrix number.
Wherein, above-mentioned L * T chip is by ± 1 or 0 chip formed.
In quasi-synchronous CDMA communication system, do not need the synchronous of very strictness between system base-station and each mobile subscriber, thereby realize simple.This system is that near the cross-correlation function value of in the synchronous error scope (zero time delay) is as far as possible little to the requirement of employing spread spectrum sequence code group correlation properties.In addition, because the wireless multipath transmission that mobile environment exists, system also requires near the auto-correlation function value of frequency expansion sequence sign indicating number zero time delay as far as possible little.Therefore, the above-mentioned generation method with spread spectrum sequence code group of zero correlation block that the present invention proposes is for realizing that in quasi-synchronous CDMA communication system noiseless transmission provides a kind of effective means.
Beneficial effect of the present invention is: maximum synchronous error of system and channel maximum multipath delay spread can realize noiseless transmission within the scope of defined the time.The parameter of spread spectrum sequence code group and system effectiveness can be adjusted according to practical factor in real time, choose flexibly.Reduced code division multiple address communication system to power control and synchronous requirement, reduced system and realized complexity.
Below in conjunction with accompanying drawing the present invention is elaborated.
Description of drawings
Fig. 1 is the spread spectrum sequence code group instance ZCZ-(84,28,3) with zero correlation block of the present invention;
Fig. 2 is periodic auto-correlation function figure of the present invention (is example with sequence among Fig. 1 1);
Fig. 3 is periodic auto-correlation function figure of the present invention (is example with sequence among Fig. 1 2);
Fig. 4 is periodic cross-correlation functional arrangement of the present invention (is example with sequence 2 with sequence among Fig. 1 1);
Fig. 5 is the signal format figure of the modulated spread spectrum signal of direct sequence CDMA communication system;
Fig. 6 is the corresponding modulated spread spectrum signal format chart of each code element among the present invention;
Fig. 7 is the signal transmission sketch map of cellular CDMA communication system down link;
Fig. 8 is the signal transmission sketch map of cellular CDMA communication system up link.
Embodiment
Zero correlation block spread spectrum sequence code group proposed by the invention, the best autocorrelation sequence a and the T rank Hadamard matrix H that are equaled L by the cycle generate as follows, L=m (2k+1) wherein, m>2, k>=0, T=2
n
1. calculate s=T
-1(mod 2k+1), structure initial vector e
0=(e
0,1, e
0,2..., e
0, T-1), e wherein
0, t=st (mod L), 0≤t<T.
2. construct one group of vector e
i=(e
I, 1, e
I, 2..., e
I, T-1), 0≤i<m, wherein e
I, t=e
0, t+ i (2k+1) (mod L), 0≤t<T, and be arranged as with matrix form
Element to same row among the matrix E is done suitable displacement, does not change the position of row, obtains following matrix
All row vector 0≤f of this matrix
i<m is discontented with sufficient following conditions,
0≤τ wherein
1<L and ((0≤τ
2<T, i ≠ j) be (0≤τ perhaps
2<T, i=j)).
3. according to each row vector 0≤f of best autocorrelation sequence a and matrix F
i<m, structural matrix
Add operation all is mould L computing in the subscript.Like this, just obtain m L * T matrix.
4. utilize the vectorial h of row of Hadamard matrix H
jMatrix U with last surface construction
iStructural matrix
Here,
5. with matrix U
i jIn element read line by line, the structure cycle is the sequence sets of LT
Thereby obtain a ZCZ-(LT, mT, 2k+1) sequence sets.
The sequence sets S that is generated has mT sequence (each sequence is a spread spectrum code word that is used for spread-spectrum), and (2k-1 is zero in 2k+1) to the absolute value of the correlation function between these sequences (removing the auto-correlation function main peak) interval.Or rather, except auto-correlation function is the LT in zero displacement place, all the other are zero.Thereby, through suitable selection parameter T, L, m, k just can obtain the zero correlation sequence sets of actual needs.
For example, given L=21, m=3,2k+1=7, T=4, then s=T
-1=2 (mod 2k+1).Can be with the one group of vector e that obtains
i, 0≤i<m is arranged as with matrix form:
Element in the same row among the matrix E is done suitable displacement, obtains matrix
The capable vector of this matrix does not satisfy formula (1).The cycle of choosing be the best autocorrelation sequence a=of 21 ternary (++-0+0+-+++++--0-+00) with 4 rank Hadamard matrixes
So set by step 3,4 with step 5 just can obtain sequence sets with a ZCZ-as shown in Figure 1 (84,28,3).
The signal creating method of non-interference quasi-synchronous CDMA communication system of the present invention has a zero correlation section length Z based on above-mentioned
CZSpread spectrum sequence code group, may further comprise the steps:
From having zero correlation section length Z
CZSpread spectrum sequence code group in select spread spectrum code word as spreading code;
Utilize selected spread spectrum code word that the initial data of input is carried out band spectrum modulation processing, generate modulated spread spectrum signal thus;
Wherein, said spread spectrum sequence code group is best autocorrelation sequence and the T=2 of L=m (2k+1) by length
nRank Hadamard matrix construction forms, m>2 wherein, k>=0.
For quasi-synchronous CDMA communication system according to the invention, in order to make full use of the excellent specific property of above-mentioned spreading code, modulated spread spectrum signal is made up of with the product of corresponding frequency expansion sequence sign indicating number and the supplementary protection chip at head and the tail two ends each signal element.The supplementary protection number of chips (G) at this modulated spread spectrum signal head and the tail two ends is desirable to be not more than zero correlation section length (Z in the spread spectrum sequence code group
CZ) arbitrary value.Owing to adopted this special spread spectrum modulation signal format, if between signal relative time delay within the supplementary protection chip lengths, remain quadrature between each frequency expansion sequence sign indicating number, thereby can eliminate because multipath effect or multiple access insert the interference that is brought.
Referring to Fig. 1, it is a ZCZ-who is example with 28 frequency expansion sequences (84,28, a 3) sequence code character, can supply 16 users to use.Have 28 spread spectrum code words, each spread spectrum code word is made up of 84 ± 1 or 0 (chip), the zero correlation section length Z of its spread spectrum sequence code group
CZ=84/28=3.
Referring to Fig. 2 and Fig. 3, they are respectively the periodic auto-correlation function figure of sequence 1 and sequence 2 among Fig. 1.Other sequence has the periodic auto-correlation function of all fours, and promptly time delay is ± 1, ± 2 o'clock, and its periodic auto-correlation function value is zero.
Referring to Fig. 4, it is the periodic cross-correlation functional arrangement of sequence 1 and sequence 2 among Fig. 1.Other arbitrary sequence is to having the periodic cross-correlation function of all fours, and promptly time delay is 0, ± 1, and ± 2 o'clock, its periodic cross-correlation functional value was zero.
Any spread spectrum sequence code group that other has zero correlation block of the present invention all has the periodic auto-correlation function and the periodic cross-correlation function of all fours.Be characterized in:
The periodic auto-correlation function of arbitrary sequence has zero correlation block in zero displacement both sides, and arbitrary periodic cross-correlation function to sequence (comprises that zero is shifted) in zero displacement both sides in the spread spectrum sequence code group has zero correlation block.
Sequence length N, sequence number M, zero correlation section length Z in the spread spectrum sequence code group
CZSatisfy and concern MZ
CZ=N.
Referring to Fig. 5, it is the modulated spread spectrum signal format chart of conventional direct sequence CDMA communication system.Wherein receive signal R (t) by useful signal V
S(t) and interference signal V
X(t) form, they are to modulate the A that corresponding ternary information bit obtains ,-A, B ,-B by sequence A and the corresponding spread-spectrum signal of B respectively.Since the not exclusively synchronous or multipath effect of system, V
S(t) and V
X(t) has τ in relative time delay between.Suppose that receiving terminal can make despread signal V through conventional method
D(t) with desired transmitting terminal signal V
S(t) synchronous, but V
D(t) and V
X(t) be asynchronous in itself, thereby the correlation function nonzero value will bring inevitable interference aperiodic in the demodulating process.
For overcoming by the interference that causes relative time delay, system works is in the accurate method of synchronization, and promptly by the base station pilot signal transmitted, the transmission that makes each travelling carriage in the sub-district is controlled at the transmission of each travelling carriage in certain scope as far as possible synchronously relative time delay.In order to eliminate the influence of correlation function aperiodic, can in modulated spread spectrum signal, add the protection chip.
Referring to Fig. 6, it is the corresponding modulated spread spectrum signal format chart of each code element.A wherein
CLength be NT
C(T
CBe chip period), take from ZCZ-(N, M, Z by one
CZ) the corresponding spread-spectrum signal of sequence of sequence code character forms, as this user's signature signal.A
HWith A
TLength be GT
C, be respectively A
CG the chip at middle head and the tail two ends is as the protection chip.
The supplementary protection number of chips (G) at head and the tail two ends is desirable in the said modulated spread spectrum signal is not more than zero correlation section length (Z in the spread spectrum sequence code group
CZ) arbitrary value, when relative time delay between signal was within the supplementary protection chip lengths, described frequency expansion sequence sign indicating number was a quadrature.
Referring to Fig. 7, it is the signal transmission sketch map of cellular CDMA communication system down link, all signals from the base station to the travelling carriage synchronous transmission, so useful signal V
S(t) and interference signal V
X(t) arrive receiving terminal simultaneously.But, since the existence of multipath effect, V
S(t) and V
X(t) the signal V behind time-delay τ '
S' (t) and V
X' (t) just become interference in the system.As long as τ ' is no more than GT
C, system interference is only relevant with periodic correlation function.If adopt ZCZ-(N, M, Z
CZ) the sequence code character is as each user's signature address sequence, and satisfy G≤Z
CZ, system realizes noiseless transmission.
Referring to Fig. 8, it is the signal transmission sketch map of cellular CDMA communication system up link, because travelling carriage can not be accomplished fully synchronously interference signal V to the signal of base station transmits
X(t) with useful signal V
S(t) non-vanishing their cross correlation has just caused the interference in the system between.But because system works is in the accurate method of synchronization, the transmission τ in relative time delay of each travelling carriage in the sub-district " is controlled in certain scope.As long as τ " is no more than GT
C, system interference is only relevant with periodic correlation function.If adopt ZCZ-(N, M, Z
CZ) the sequence code character is as each user's signature address sequence, and satisfy G≤Z
CZ, system realizes noiseless transmission.
Therefore; Have the signature address sequence of the spread spectrum sequence code group of zero correlation block as each user through use; And, just can realize the noiseless transmission of quasi-synchronous CDMA communication system up link and down link at modulated spread spectrum signal adding proper protection chip.
Claims (10)
1. the signal creating method of a non-interference quasi-synchronous CDMA communication system is characterized in that may further comprise the steps:
From having zero correlation section length Z
CZSpread spectrum sequence code group in select spread spectrum code word as spreading code;
Utilize selected spread spectrum code word that the initial data of input is carried out band spectrum modulation processing, generate modulated spread spectrum signal thus;
Wherein, said spread spectrum sequence code group is best autocorrelation sequence a and the T=2 of L=m (2k+1) by the cycle
nRank Hadamard matrix H is constructed by following mode and is formed, m>2 wherein, and k>=0, n is a positive integer:
A) according to the initial vector Function e
0, t=T
-1(mod 2k+1) t (mod L) constructs one group of initial vector e
0=(e
0,1, e
0,2..., e
0, T-1), 0≤t<T wherein;
B) according to vector function e
I, t=e
0, t+ i (2k+1) (mod L) constructs one group of vector e
i=(e
I, 0, e
I, 1, e
I, 2..., e
I, T-1),
It is arranged as down column matrix E, wherein 0≤i<m:
Element to same row among the matrix E is done suitable displacement, does not change the position of row, obtains following matrix F:
All row vector 0≤f of this matrix
i<m is discontented with sufficient following conditions,
0≤τ wherein
1<L, and 0≤τ
2<T, i ≠ j or 0≤τ
2<T, i=j;
C) according to each row vector 0≤f of best autocorrelation sequence a and matrix F
i<m, structural matrix U
i
Add operation all is mould L computing in the subscript, like this, just obtains m L * T matrix;
D) utilize the vectorial h of row of Hadamard matrix H
jMatrix U with last surface construction
iStructural matrix
0≤j<T wherein, 0≤i<m.
E) element in the matrix
is read line by line, the structure cycle is the sequence sets of LT
Thereby (2k+1) sequence sets is with as said spread spectrum sequence code group for LT, mT to obtain a ZCZ-.
2. according to the signal creating method of right 1 described non-interference quasi-synchronous CDMA communication system, it is characterized in that:
The auto-correlation function of arbitrary sequence has zero correlation block in zero displacement both sides in the described spread spectrum sequence code group.
3. according to the signal creating method of right 1 described non-interference quasi-synchronous CDMA communication system, it is characterized in that:
Arbitrary cross-correlation function to sequence has zero correlation block in the zero displacement both sides that comprises zero displacement in the spread spectrum sequence code group.
4. according to the signal creating method of right 1 described non-interference quasi-synchronous CDMA communication system, it is characterized in that also comprising: supplementary protection chip at the head and the tail two ends of said modulated spread spectrum signal.
5. according to the signal creating method of right 4 described non-interference quasi-synchronous CDMA communication systems, it is characterized in that: head and the tail two ends additional protection number of chips G gets and is not more than zero correlation section length Z in the spread spectrum sequence code group in the said modulated spread spectrum signal
CZArbitrary value.
6. according to the signal creating method of right 5 described non-interference quasi-synchronous CDMA communication systems, it is characterized in that: when relative time delay between signal was within the supplementary protection chip lengths, the spread spectrum code word of said spread spectrum sequence code group was a quadrature.
7. according to the signal creating method of right 1 described non-interference quasi-synchronous CDMA communication system, it is characterized in that: said spread spectrum sequence code group has m * T spread spectrum code word, m>2 wherein, T=2
n
8. according to the signal creating method of right 1 or 7 described non-interference quasi-synchronous CDMA communication systems, it is characterized in that: each spread spectrum code word has L * T chip, and wherein L is the cycle of said best autocorrelation sequence, and T is a Hadamard order of matrix number.
9. according to the signal creating method of right 8 described non-interference quasi-synchronous CDMA communication systems, it is characterized in that: said L * T chip is by ± 1 or 0 chip formed.
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CN108199801B (en) * | 2017-12-27 | 2019-12-24 | 江苏亨诺科技有限公司 | Method for constructing orthogonal sequence set in CDMA system |
CN110493864B (en) * | 2019-07-30 | 2020-07-10 | 北京大学 | A Pseudo-Synchronous Code Division Multiple Access Method Based on Clock Steering Synchronization |
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CN1264964A (en) * | 2000-03-22 | 2000-08-30 | 信息产业部电信传输研究所 | Design method for frequency-extending sequential code blocks for non-interference quasi-synchronous CDMA communication system |
US6542536B1 (en) * | 1999-08-06 | 2003-04-01 | General Electric Company | Spread spectrum communications with selectable data transfer rates |
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US6542536B1 (en) * | 1999-08-06 | 2003-04-01 | General Electric Company | Spread spectrum communications with selectable data transfer rates |
CN1264964A (en) * | 2000-03-22 | 2000-08-30 | 信息产业部电信传输研究所 | Design method for frequency-extending sequential code blocks for non-interference quasi-synchronous CDMA communication system |
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Address after: Feng Qi Zhen Caijiaying road 400707 Chongqing city Beibei District No. 16 Patentee after: Chongqing wireless oasis Communication Technology Co., Ltd. Address before: 100088 Beijing City, Haidian District Zhichun Road Jinqiu International Building No. 6 B block 318 Patentee before: Chongqing wireless oasis Communication Technology Co., Ltd. |
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CF01 | Termination of patent right due to non-payment of annual fee | ||
CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20120822 Termination date: 20200724 |