CN107547106A - The long short code method of estimation of the long short code direct sequency-code division multiple access signal of multi tate - Google Patents

The long short code method of estimation of the long short code direct sequency-code division multiple access signal of multi tate Download PDF

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CN107547106A
CN107547106A CN201710960141.1A CN201710960141A CN107547106A CN 107547106 A CN107547106 A CN 107547106A CN 201710960141 A CN201710960141 A CN 201710960141A CN 107547106 A CN107547106 A CN 107547106A
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强芳芳
赵知劲
顾骁炜
杨安锋
尹辉
张笑菲
毛翊君
姜显扬
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Infinite Shanghai Communication Terminals Ltd
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Hangzhou Dianzi University
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Abstract

The invention discloses a kind of long short code method of estimation of multi tate short code spread spectrum long code scrambling direct sequency-code division multiple access signal.Scrambler cycle and minimum spreading code cycle are most greatly enhanced according to it first, carrying out double fragmentation to reception signal obtains signal matrix, utilizes the compound chip segment of the isolated each user of Fast ICA algorithms.Then successively decreased with information rate and estimate the long short code sequence of user successively, splicing forms fuzzy sequence by the isolated compound chip segment of Fast ICA algorithms, order is eliminated using secondary delay multiplication method to obscure and spreading code interference, with reference to cyclotomic cosets and third-order correlation characteristic, the long scrambler that all users are corresponded to using the same speed of characteristic information matching method completion is estimated, short spreading code is estimated by related operation simultaneously, all compound chip segments for having estimated user are removed by similarity factor matrix again, until completing the long short code estimation of all users.

Description

The long short code method of estimation of the long short code direct sequency-code division multiple access signal of multi tate
Technical field
It is more particularly to a kind of to be added using short code spread spectrum long code the invention belongs to the parameter Estimation field of direct sequence signal in communicating The long short code method of estimation for the long short code direct sequency-code division multiple access signal of multi tate disturbed.
Background technology
DSSS (direct sequence spread spectrum, DSSS) has strong antijamming capability, hidden Covering property is good, is easy to the advantages that CDMA, is widely applied in military and civilian field.
With the continuous development of spread spectrum communication, traditional DSSS technologies limit because the contradiction of processing gain and data transfer rate be present Its application in terms of high speed data transfer.To provide preferably service and application, multi tate is introduced in spread spectrum communication Direct sequence spread spectrum skill.Direct sequency-code division multiple access system is realized based on DSSS technologies and CDMA technology, in non-cooperation In communication, to direct sequency-code division multiple access (the long and short codes direct of multi tate short code spread spectrum long code scrambling Sequence code division multiple access, LSC-DS-CDMA) signal carry out pseudo-code blind estimate have it is important Meaning.
Typical direct sequence signal spread spectrum code sequence method of estimation includes feature decomposition method, blind source separating method, based on subspace Method and the expectation maximization estimation technique etc..These methods have certain effect for simple direct sequence signal, but not Multi tate LSC-DS-CDMA signals can be directly used in.
The content of the invention
The present invention is directed to the limitation of existing spread code estimation method, proposes a kind of multi tate length based on Fast-ICA The long short code method of estimation of code direct sequency-code division multiple access signal.
Technical scheme comprises the following steps used by this hair solves its technical problem:
Step 1, by the long short code direct sequency-code division multiple access signal of multi tate with spreading code chip polydispersity index be converted into base band letter Number, instantaneous linear mixed signal model in blind separation is built into, passes through the compound key of the isolated each user of Fast-ICA algorithms Fragment;
Step 2, estimation minimum-rate correspond to the long short code sequence of user, and the compound chip segment that splicing blind separation obtains obtains Completely fuzzy sequence, the fuzzy influence with spreading code of order is eliminated using delay multiplication method twice;
Step 3, the third-order correlation peak point characteristic information matrix with reference to cyclotomic cosets the Theory Construction m-sequence, computing relay Signal peak point at triple correlation function average value, the method matched by characteristic information completes long scrambler sequence and estimates Meter;
Step 4, the long scrambler sequence obtained according to compound key sequence and estimation, complete short spreading code using related operation and estimate Meter;
Step 5, all fragments for having estimated user are removed according to the similarity factor matrix of sequence fragment, complete compound chip The cleaning of section;
Step 6, the fuzzy sequence of reconstruct, circulation step 2- steps 5, the long short code until completing all users in reception signal Sequence estimation.
The present invention makes full use of the design feature of multi tate LSC-DS-CDMA signals, according to most greatly enhancing scrambler cycle and most The small spreading code cycle carries out double fragmentation to reception signal, is converted into instantaneous linear mixed signal model, is calculated using Fast-ICA Method carries out blind separation and obtains the compound chip segment of length, completes user's separation.
The present invention estimates the long short code of each user according to the order of speed from small to large successively.Minimum-rate pair is estimated first The long short code of the whole users answered, it is recycled to time big speed and is estimated that this method reduces algorithm complex and reduced Amount of calculation.
The theoretical third-order correlation characteristic with m-sequence of cyclotomic cosets is combined in the present invention, utilizes characteristic information matching method to complete The long scrambler estimation of user, then short spreading code is completed by related operation and estimated, method is simple and effective.
Similarity factor definition is provided in the present invention, the compound chip segment for having estimated user is removed by similarity factor matrix, Greatly reduce algorithm complex and amount of calculation.
The beneficial effects of the invention are as follows:
1st, it is blind source signal separation problem by multi tate LSC-DS-CDMA signal modelings, by baroque signal model Simplify.
2nd, the influence that order obscures and spreading code is estimated long scrambler is eliminated by delay multiplication method twice, improves estimation Performance.
3rd, characteristic information matrix is constructed using the third-order correlation characteristic of m-sequence, the method matched using characteristic information is estimated Long scrambler sequence is counted, improves estimation performance.
4th, the fragment for having estimated user is removed according to similarity factor matrix, amount of calculation is reduced and reduces the complexity of algorithm Degree.
Embodiment
Illustrate the implementation steps of the present invention in detail further below.
The long short code method of estimation of the long short code direct sequency-code division multiple access signal of multi tate, specifically comprises the following steps:
Step 1, by the long short code direct sequency-code division multiple access signal of multi tate with spreading code chip polydispersity index be converted into base band letter Number, instantaneous linear mixed signal model in blind separation is built into, passes through the compound key of the isolated each user of Fast-ICA methods Fragment, it is specific as follows:
The carrier frequency for the multi tate LSC-DS-CDMA signals that total number of users known to 1-1. hypothesis is U, the base that will be received Band signal is expressed as with frequency expansion sequence chip polydispersity index, then reception signal:
Wherein, n is sampling instant, and 1≤n≤N, N are reception signal length;V is the different information of all users in signal Speed species number, its information rate are respectively R1,R2,…RV, the corresponding spreading code cycle is respectively Lb1,Lb2,…LbV(Lbi= 1/Ri), and meet LbV=2LbV-1=... ,=2V-1Lb1;UiIt is that information rate is RiUser's number, U1+U2+…+UV=U; Ai.jFor signal amplitude, di,j(n)、bi,jAnd c (n)i,j(n) be respectively user information code, short spreading code and long scrambler sequence, si.j(n) it is the compound key sequence of long short code.Because the pseudo-code sequence recovered from the signal of different initial times is original The cyclic shift of beginning sequence, τ might as well be seti,j=0;W (n) is additive zero white Gaussian noise, variance σ2.I-th kind of speed pair The user answered, short spreading code are Lb from the cycleiOrthogonal Variable Spreading Factor OVSF (orthogonal variable Spreading factor, OVSF) code, long scrambler selects m-sequence, is the effective of ensuring method because the m-sequence cycle is odd number Property, first chip of m-sequence is added to its end, it is Lc to remember the new cyclei.The short spreading code of each user and long scrambler Differ, but the long short code cycle phase of information rate identical user is same, and have LcV=2LcV-1... ,=2V-1Lc1
1-2. is according to most greatly enhancing scrambler period L cVTo signal subsection, the array being made up of Z signal segment is translated into Signal, formula (1) can be expressed as the form of matrix:
R (n)=A (n) S (n)+W (n) (2)
Wherein, 1≤n≤LcV, r (n)=[r1(n)r2(n)…rZ(n)]T, rz(n)=r ((z-1) LcV+ n),W (n)=[w1(n)w2(n)…wZ(n)]T, wz(n) =w ((z-1) LcV+n).Hybrid matrix A (n) is time-varying, is expressed as:
WhereinSymbolExpression takes upwards.
1-3. is by minimum spreading code period L b1Each array element signals are divided into K sequence fragment, then the reception of k-th of fragment Signal is represented by
rk(n)=Ak(n)Sk(n)+Wk(n) (4)
1≤n≤Lb in formula1, 1≤k≤K, Within the time corresponding to sequence fragment, Hybrid matrix Ak(n) can be expressed as:
WhereinAk(n) approximately constant.Formula (4) is instantaneous line in typical blind separation Property mixed signal model.Each user's compound key sequence estimation is completed with Fast-ICA algorithms.
Step 2, first estimation minimum-rate correspond to the long short code sequence of user, the compound chip segment that splicing blind separation obtains Obtain completely obscuring sequence, the fuzzy influence with spreading code of order is eliminated using delay multiplication method twice, it is specific as follows:
2-1. cycle estimators are Lc1M-sequence, choose K in order1=Lc1/Lb1Individual fragment is spliced, and is obtainedIt is individual Length is Lc1Fuzzy sequence, be designated as αh.These αhSequence can be represented by the following formula:
Wherein Individual αhIn, have and only U1It is individual It is that real speed is R1And user's compound key sequence of complete cycle, it is labeled as
2-2. eliminates the fuzzy influence with spreading code of order by delay multiplication method, even
TCF be estimated as
Step 3, the third-order correlation peak point characteristic information matrix with reference to cyclotomic cosets the Theory Construction m-sequence, computing relay Signal peak point at triple correlation function average value, the method matched by characteristic information completes long scrambler sequence and estimates Meter, it is specific as follows:
3-1. assumes J finite aggregate be present in the cyclotomic cosets in scrambler cycle, and the coset head of this J finite aggregate is charged into collection Close { ηj| 1≤j≤J }, it is { η to calculate all primitive polynomials of the exponent number (common F) corresponding m-sequence abscissa in main value domainj|1 ≤ j≤J } when TCF values, find TCF peak point, thus form the peak point translation specifications information matrix Φ of m-sequence.
3-2. utilizes formula (8) computing relay sequence γh(n) TCF at F sequence peaks point, and calculate it with following formula Average value:
Wherein f represents the sequence number of m-sequence, meets 1≤f≤F, qf,jRepresent that f-th of primitive polynomial corresponds to m-sequence in horizontal stroke Coordinate is ηjWhen ordinate corresponding to peak point.
3-3. finds maximumAnd corresponding sequence number f is charged into set ξ.ByIndividual sequence is obtained in set ξ How much individual element, whole elements in statistics set ξ, sort by occurrence number, preceding U1Number is U1The correct m-sequence of individual user Sequence number in characteristic information matrix, it is R that the method matched by peak coordinate characteristic information, which is finally completed speed,1U1Individual use The long scrambler sequence estimation at family.
Step 4, the long scrambler sequence obtained according to compound key sequence and estimation, complete short spreading code using related operation and estimate Meter, it is specific as follows:
According to compound key sequenceAnd the long scrambler sequence c that estimation obtainsh′(n), short expansion is estimated using related operation Frequency code:
Wherein, 1≤n≤Lb1, 1≤h '≤U1.The sequence b now obtainedh′(n) it is the in the same direction or backward sequence of short spreading code Row, are judged according to the property of ovsf code, determine short spreading code sequence.
Step 5, all fragments for having estimated user are removed according to the similarity factor matrix of sequence fragment, complete compound chip The cleaning of section, it is specific as follows:
5-1. is in all compound key sequence fragments that blind separation obtains, according to the similarity factor matrix of sequence fragment come clear Except U1All fragments of individual user.Similarity factor is defined as the ratio that same symbol is shared in sequence length in two sequence fragments Example, as shown in formula (11):
Wherein,Represent i-th kind of speed control that blind separation obtains N-th of sequential value in k-th of compound chip segment of j user, 1≤j '≤U1,RepresentMedium-rate is R1's N-th of sequential value in jth ' compound chip segment of k-th of individual user.
Thus 5-2. obtains similarity factor matrix corresponding to k-th of fragment:
WhenWhen represent that two sequence fragments are identical, due to the particularity of m-sequence,Minimum value it is near Approximately equal to 0.5.Matrix delta in theorykOne and only one value of middle each row and column is 1, and its residual value is approximately equal to 0.5.Determine jth ' It is maximum in rowCorresponding λ, removeIn λ rows (wherein 1≤j '≤U1), finally give one it is newThis Complete R1U corresponding to speed1The compound chip segment cleaning of individual user.
Step 6, the fuzzy sequence of reconstruct, circulation step 2- steps 5, the long short code until completing all users in reception signal Sequence estimation, it is specific as follows:
ReconstructIt is individualRepeat to walk Rapid 2 to step 5, by U1Replace with Ui, completion speed is RiUiThe long short code sequence estimation of individual user, is finally progressively estimated The long short code sequence of all users.

Claims (7)

1. the long short code method of estimation of the long short code direct sequency-code division multiple access signal of multi tate, it is characterised in that this method includes following step Suddenly:
Step 1, the long short code direct sequency-code division multiple access signal of multi tate is converted into baseband signal, structure with spreading code chip polydispersity index Instantaneous linear mixed signal model in blind separation is built up, passes through the compound chip segment of the isolated each user of Fast-ICA methods;
Step 2, first estimation minimum-rate correspond to the long short code sequence of user, and the compound chip segment that splicing blind separation obtains obtains Completely fuzzy sequence, the fuzzy influence with spreading code of order is eliminated using delay multiplication method twice;
Step 3, the third-order correlation peak point characteristic information matrix with reference to cyclotomic cosets the Theory Construction m-sequence, computing relay signal Peak point at triple correlation function average value, pass through the estimation that the method that characteristic information matches completes long scrambler sequence;
Step 4, the long scrambler sequence obtained according to compound key sequence and estimation, short spreading code estimation is completed using related operation;
Step 5, all fragments for having estimated user are removed according to the similarity factor matrix of sequence fragment, complete compound chip segment Cleaning;
Step 6, the fuzzy sequence of reconstruct, circulation step 2- steps 5, the long short code sequence until completing all users in reception signal Estimation.
2. the long short code method of estimation of the long short code direct sequency-code division multiple access signal of multi tate according to claim 1, its feature It is that step 1 is specific as follows:
The carrier frequency for the multi tate LSC-DS-CDMA signals that total number of users known to 1-1. hypothesis is U, the base band received is believed Number with frequency expansion sequence chip polydispersity index, then reception signal is expressed as:
<mrow> <mtable> <mtr> <mtd> <mrow> <mi>r</mi> <mrow> <mo>(</mo> <mi>n</mi> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>V</mi> </munderover> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <msub> <mi>U</mi> <mi>i</mi> </msub> </munderover> <msub> <mi>A</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <msub> <mi>d</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>n</mi> <mo>)</mo> </mrow> <msub> <mi>s</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>n</mi> <mo>)</mo> </mrow> <mo>+</mo> <mi>w</mi> <mrow> <mo>(</mo> <mi>n</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>V</mi> </munderover> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <msub> <mi>U</mi> <mi>i</mi> </msub> </munderover> <msub> <mi>A</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <msub> <mi>d</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>n</mi> <mo>)</mo> </mrow> <msub> <mi>b</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>n</mi> <mo>-</mo> <msub> <mi>&amp;tau;</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mo>)</mo> </mrow> <msub> <mi>c</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>n</mi> <mo>-</mo> <msub> <mi>&amp;tau;</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>+</mo> <mi>w</mi> <mrow> <mo>(</mo> <mi>n</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>
Wherein, n is sampling instant, and 1≤n≤N, N are reception signal length;V is the different information rates of all users in signal Species number, its information rate are respectively R1,R2,…RV, the corresponding spreading code cycle is respectively Lb1,Lb2,…LbV(Lbi=1/ Ri), and meet LbV=2LbV-1=... ,=2V-1Lb1;UiIt is that information rate is RiUser's number, U1+U2+…+UV=U;Ai.j For signal amplitude, di,j(n)、bi,jAnd c (n)i,j(n) be respectively user information code, short spreading code and long scrambler sequence, si.j (n) it is the compound key sequence of long short code;Because the pseudo-code sequence recovered from the signal of different initial times is original The cyclic shift of sequence, τ might as well be seti,j=0;W (n) is additive zero white Gaussian noise, variance σ2;I-th kind of speed is corresponding User, short spreading code is Lb from the cycleiOrthogonal variable frequency extension factor code, long scrambler selects m-sequence, due to m-sequence week Phase is odd number, first chip of m-sequence is added into its end, it is Lc to remember the new cyclei;The short spreading code of each user and Long scrambler differs, but the long short code cycle phase of information rate identical user is same, and has LcV=2LcV-1... ,=2V-1Lc1
1-2. is according to most greatly enhancing scrambler period L cVTo signal subsection, the array signal being made up of Z signal segment is translated into, Formula (1) can be expressed as the form of matrix:
R (n)=A (n) S (n)+W (n) (2)
Wherein, 1≤n≤LcV, r (n)=[r1(n)r2(n)…rZ(n)]T, rz(n)=r ((z-1) LcV+ n),1≤i≤V, 1≤j≤Ui, W (n)=[w1(n)w2(n)…wZ(n)]T, wz(n)= w((z-1)·LcV+n);Hybrid matrix A (n) is time-varying, is expressed as:
WhereinSymbolExpression takes upwards;
1-3. is by minimum spreading code period L b1Each array element signals are divided into K sequence fragment, then the reception signal of k-th of fragment can It is expressed as
rk(n)=Ak(n)Sk(n)+Wk(n) (4)
1≤n≤Lb in formula1, 1≤k≤K, Within the time corresponding to sequence fragment, Hybrid matrix Ak(n) can be expressed as:
WhereinAk(n) approximately constant;Formula (4) is that instantaneous linear mixes in typical blind separation Signal model;Each user's compound key sequence estimation is completed with Fast-ICA algorithms.
3. the long short code method of estimation of the long short code direct sequency-code division multiple access signal of multi tate according to claim 1, its feature It is that step 2 is specific as follows:
2-1. cycle estimators are Lc1M-sequence, choose K in order1=Lc1/Lb1Individual fragment is spliced, and is obtainedIndividual length For Lc1Fuzzy sequence, be designated as αh;These αhSequence can be represented by the following formula:
<mrow> <msub> <mi>&amp;alpha;</mi> <mi>h</mi> </msub> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msubsup> <mover> <mi>s</mi> <mo>^</mo> </mover> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> <mn>1</mn> </msubsup> </mtd> <mtd> <msubsup> <mover> <mi>s</mi> <mo>^</mo> </mover> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> <mn>2</mn> </msubsup> </mtd> <mtd> <mn>...</mn> </mtd> <mtd> <msubsup> <mover> <mi>s</mi> <mo>^</mo> </mover> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> <mi>k</mi> </msubsup> </mtd> <mtd> <mn>...</mn> </mtd> <mtd> <msubsup> <mover> <mi>s</mi> <mo>^</mo> </mover> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> <msub> <mi>K</mi> <mn>1</mn> </msub> </msubsup> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>6</mn> <mo>)</mo> </mrow> </mrow>
Wherein1≤i≤V, 1≤j≤Ui, 1≤k≤K1Individual αhIn, have and only U1Individual is real speed Rate is R1And user's compound key sequence of complete cycle, it is labeled as
2-2. eliminates the fuzzy influence with spreading code of order by delay multiplication method, even
<mrow> <mtable> <mtr> <mtd> <mrow> <msubsup> <mi>&amp;beta;</mi> <msup> <mi>h</mi> <mo>&amp;prime;</mo> </msup> <mo>*</mo> </msubsup> <mrow> <mo>(</mo> <mi>n</mi> <mo>)</mo> </mrow> <mo>=</mo> <msubsup> <mi>&amp;alpha;</mi> <msup> <mi>h</mi> <mo>&amp;prime;</mo> </msup> <mo>*</mo> </msubsup> <mrow> <mo>(</mo> <mi>n</mi> <mo>)</mo> </mrow> <mo>&amp;CenterDot;</mo> <msubsup> <mi>&amp;alpha;</mi> <msup> <mi>h</mi> <mo>&amp;prime;</mo> </msup> <mo>*</mo> </msubsup> <mrow> <mo>(</mo> <mo>(</mo> <mrow> <mi>n</mi> <mo>+</mo> <mn>1</mn> </mrow> <mo>)</mo> <mi>mod</mi> <mi> </mi> <msub> <mi>Lc</mi> <mn>1</mn> </msub> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msubsup> <mi>&amp;gamma;</mi> <msup> <mi>h</mi> <mo>&amp;prime;</mo> </msup> <mo>*</mo> </msubsup> <mrow> <mo>(</mo> <mi>n</mi> <mo>)</mo> </mrow> <mo>=</mo> <msubsup> <mi>&amp;beta;</mi> <msup> <mi>h</mi> <mo>&amp;prime;</mo> </msup> <mo>*</mo> </msubsup> <mrow> <mo>(</mo> <mi>n</mi> <mo>)</mo> </mrow> <mo>&amp;CenterDot;</mo> <msubsup> <mi>&amp;beta;</mi> <msup> <mi>h</mi> <mo>&amp;prime;</mo> </msup> <mo>*</mo> </msubsup> <mrow> <mo>(</mo> <mo>(</mo> <mrow> <mi>n</mi> <mo>+</mo> <msub> <mi>Lb</mi> <mn>1</mn> </msub> </mrow> <mo>)</mo> <mi>mod</mi> <mi> </mi> <msub> <mi>Lc</mi> <mn>1</mn> </msub> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>7</mn> <mo>)</mo> </mrow> </mrow>
TCF be estimated as
<mrow> <msub> <mi>C</mi> <mi>h</mi> </msub> <mrow> <mo>(</mo> <mi>p</mi> <mo>,</mo> <mi>q</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mn>1</mn> <mrow> <msub> <mi>Lc</mi> <mn>1</mn> </msub> </mrow> </mfrac> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <msub> <mi>Lc</mi> <mn>1</mn> </msub> </mrow> </munderover> <msubsup> <mi>&amp;gamma;</mi> <msup> <mi>n</mi> <mo>&amp;prime;</mo> </msup> <mo>*</mo> </msubsup> <mrow> <mo>(</mo> <mi>n</mi> <mo>)</mo> </mrow> <msubsup> <mi>&amp;gamma;</mi> <msup> <mi>h</mi> <mo>&amp;prime;</mo> </msup> <mo>*</mo> </msubsup> <mrow> <mo>(</mo> <mi>n</mi> <mo>+</mo> <mi>p</mi> <mo>)</mo> </mrow> <msubsup> <mi>&amp;gamma;</mi> <msup> <mi>h</mi> <mo>&amp;prime;</mo> </msup> <mo>*</mo> </msubsup> <mrow> <mo>(</mo> <mi>n</mi> <mo>+</mo> <mi>q</mi> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>8</mn> <mo>)</mo> </mrow> <mo>.</mo> </mrow>
4. the long short code method of estimation of the long short code direct sequency-code division multiple access signal of multi tate according to claim 3, its feature It is that step 3 is specific as follows:
3-1. assumes J finite aggregate be present in the cyclotomic cosets in scrambler cycle, and the coset head of this J finite aggregate is charged into set { ηj | 1≤j≤J }, it is { η to calculate all primitive polynomials of the exponent number and correspond to m-sequence abscissa in main value domainj| 1≤j≤J } when TCF values, TCF peak point is found, thus form the peak point translation specifications information matrix Φ of m-sequence;
3-2. utilizes formula (8) computing relay sequence γh(n) TCF at F sequence peaks point, and calculate it with following formula and be averaged Value:
<mrow> <msub> <mover> <mi>C</mi> <mo>&amp;OverBar;</mo> </mover> <mi>f</mi> </msub> <mo>=</mo> <mfrac> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>J</mi> </munderover> <msub> <mi>C</mi> <mi>h</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>&amp;eta;</mi> <mi>j</mi> </msub> <mo>,</mo> <msub> <mi>q</mi> <mrow> <mi>f</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mo>)</mo> </mrow> </mrow> <mi>J</mi> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>9</mn> <mo>)</mo> </mrow> </mrow>
Wherein f represents the sequence number of m-sequence, meets 1≤f≤F, qf,jRepresent that f-th of primitive polynomial corresponds to m-sequence in abscissa For ηjWhen ordinate corresponding to peak point;
3-3. finds maximumAnd corresponding sequence number f is charged into set ξ;ByIndividual sequence is obtained in set ξIndividual member How much element, whole elements in statistics set ξ, sort by occurrence number, preceding U1Number is U1The correct m-sequence of individual user is in spy The sequence number in information matrix is levied, it is R that the method matched by peak coordinate characteristic information, which is finally completed speed,1U1Individual user's Long scrambler sequence estimation.
5. the long short code method of estimation of the long short code direct sequency-code division multiple access signal of multi tate according to claim 4, its feature It is that step 4 is specific as follows:
According to compound key sequenceAnd the long scrambler sequence c that estimation obtainsh′(n), short spread spectrum is estimated using related operation Code:
<mrow> <msub> <mi>b</mi> <msup> <mi>h</mi> <mo>&amp;prime;</mo> </msup> </msub> <mrow> <mo>(</mo> <mi>n</mi> <mo>)</mo> </mrow> <mo>=</mo> <msubsup> <mi>&amp;alpha;</mi> <msup> <mi>h</mi> <mo>&amp;prime;</mo> </msup> <mo>*</mo> </msubsup> <mrow> <mo>(</mo> <mi>n</mi> <mo>)</mo> </mrow> <mo>&amp;CenterDot;</mo> <msub> <mi>c</mi> <msup> <mi>h</mi> <mo>&amp;prime;</mo> </msup> </msub> <mrow> <mo>(</mo> <mi>n</mi> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>10</mn> <mo>)</mo> </mrow> </mrow>
Wherein, 1≤n≤Lb1, 1≤h '≤U1;The sequence b now obtainedh′(n) it is the in the same direction or reverse sequence of short spreading code, root Judged according to the property of ovsf code, determine short spreading code sequence.
6. the long short code method of estimation of the long short code direct sequency-code division multiple access signal of multi tate according to claim 5, its feature It is that step 5 is specific as follows:
5-1. removes U in all compound key sequence fragments that blind separation obtains according to the similarity factor matrix of sequence fragment1 All fragments of individual user;Similarity factor is defined as the ratio that same symbol is shared in sequence length in two sequence fragments, As shown in formula (11):
<mrow> <msubsup> <mi>&amp;delta;</mi> <mrow> <mi>&amp;lambda;</mi> <mo>,</mo> <msup> <mi>j</mi> <mo>&amp;prime;</mo> </msup> </mrow> <mi>k</mi> </msubsup> <mo>=</mo> <mfrac> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>n</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <msub> <mi>Lb</mi> <mn>1</mn> </msub> </mrow> </munderover> <mo>|</mo> <msubsup> <mover> <mi>s</mi> <mo>^</mo> </mover> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> <mi>k</mi> </msubsup> <mrow> <mo>(</mo> <mi>n</mi> <mo>)</mo> </mrow> <mo>+</mo> <msubsup> <msup> <mover> <mi>s</mi> <mo>^</mo> </mover> <mo>&amp;prime;</mo> </msup> <mrow> <mn>1</mn> <mo>,</mo> <msup> <mi>j</mi> <mo>&amp;prime;</mo> </msup> </mrow> <mi>k</mi> </msubsup> <mrow> <mo>(</mo> <mi>n</mi> <mo>)</mo> </mrow> <mo>|</mo> </mrow> <mrow> <mn>2</mn> <mo>&amp;CenterDot;</mo> <msub> <mi>Lb</mi> <mn>1</mn> </msub> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>11</mn> <mo>)</mo> </mrow> </mrow>
Wherein,1≤i≤V, 1≤j≤Ui,Represent i-th kind of speed, j-th of user that blind separation obtains K-th of compound chip segment in n-th of sequential value, 1≤j '≤U1,RepresentMedium-rate is R1Jth ' individual N-th of sequential value in k-th of compound chip segment of user;
Thus 5-2. obtains similarity factor matrix corresponding to k-th of fragment:
WhenWhen represent that two sequence fragments are identical, due to the particularity of m-sequence,Minimum value approximation etc. In 0.5;Matrix delta in theorykOne and only one value of middle each row and column is 1, and its residual value is approximately equal to 0.5;Determine in jth ' row It is maximumCorresponding λ, removeIn λ rows (wherein 1≤j '≤U1), finally give one it is newThisComplete R1U corresponding to speed1The compound chip segment cleaning of individual user.
7. the long short code method of estimation of the long short code direct sequency-code division multiple access signal of multi tate according to claim 6, its feature It is that step 6 is specific as follows:
ReconstructIt is individualRepeat step 2 to Step 5, by U1Replace with Ui, completion speed is RiUiThe long short code sequence estimation of individual user, it is useful finally progressively to estimate institute The long short code sequence at family.
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