CN103001723A - Construction method of mutual orthogonal zero correlation zone multiphase sequence set - Google Patents
Construction method of mutual orthogonal zero correlation zone multiphase sequence set Download PDFInfo
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Abstract
The invention discloses a construction method of a mutual orthogonal zero correlation zone multiphase sequence set and belongs to the technical field of communication system signal design. Based on a traditional zero correlation zone sequence set as a core set, a perfect sequence of cyclic shift is used, and a zero correlation zone sequence set can be expanded into a new sequence set including a plurality of mutual orthogonal zero correlation zone sequence sub-sets. The sequence set can reach a theoretical boundary of sequence design, can provide a sequence with a good interference restraining characteristic for a high-capacity code division multiple access communication system, and simultaneously can be used as a synchronous training sequence and signal channel estimation reference signals and the like of a communication system of orthogonal frequency division multiplexing and the like.
Description
Technical field
The invention belongs to the wireless telecommunication system signal processing technology field, be specifically related to a kind of building method that is applicable to the jamproof mutually orthogonal zero correlation block multiphase sequence set of high-capacity mobile telecommunication system.
Background technology
Zero-correlation zone sequence can have in certain specific interval desirable Periodic correlation performance, therefore is subject to the favor of near-synchronous code division multiple address communication system all the time.Yet the excellent correlated performance of such sequence is to sacrifice the sequence number as cost, and when especially the length of zero correlation block was larger, the number of zero-correlation zone sequence was far smaller than the orthogonal sequence number of equal length.In order to solve the limited problem of sequence number, people consider a plurality of zero-correlation zone sequence set are combined into a large arrangement set, wherein each zero-correlation zone sequence set can be regarded a son set of this large arrangement set as, and satisfies certain relevant nature between the sequence of these subclass.
According to the relation relevant with the subclass internal mutual of cross-correlation between the subclass, this new arrangement set that is made of a plurality of zero-correlation zone sequence subclass can be divided into two classes.A kind of situation is that the cross-correlation performance is better than subclass internal mutual correlated performance between the subclass, such arrangement set is applicable to the near-synchronous code division multiple address communication system (X.H.Tang of many residential quarters, P.Z.Fan, and J.Lindner, Multiple binary ZCZ sequence sets with good cross-correlation property based on complementary sequence sets, IEEE Trans.Inf.Theory, vol.56, no.8, pp.4038-4045, Aug.2010).But the number of the subclass in this class arrangement set and the sequence number in the subclass are relatively few, are difficult to reach the theoretical boundary of sequences Design.For multiphase sequence, can obtain than the better performance of binary sequence take implementation complexity as cost, usually can arrive approximate ideal (H.Torii, T.Matsumoto, M.Nakamura, " A new method for constructing asymmetric ZCZ sequences sets; " IEICE Trans.on Fundamentals, vol.E95-A, no.9, pp.1577-1586, Sept.2012).
Another situation is that subclass internal mutual correlated performance is better than cross-correlation performance between the subclass, such arrangement set is fit to substitute traditional orthogonal sequence set and is applied to code division multiple address communication system, as a rule be mutually orthogonal (A.Rathinakumar and A.K.Chaturvedi between each subclass sequence, " Mutually orthogonal sets of ZCZ sequences; " Electron.Lett., vol.40, no.18, pp.1133-1134,2004).Such mutually orthogonal zero-correlation zone sequence set can reach the theoretical boundary of sequences Design under certain condition, therefore under the prerequisite of identical sequence length and identical sequence number, it will have better correlated performance (Y.B.Li than traditional orthogonal sequence set, C.Q.Xu., K.Liu, " Construction of mutually orthogonal zero correlation zone polyphase sequence sets; " IEICE Trans.on Fundamentals, vol.E94-A, no.4, pp.1159-1164, April 2011).
Make s
i=(s
I, 0, s
I, 1..., s
I, L-1) and s
j=(s
J, 0, s
J, 1..., s
J, L-1) two sequences that length is L of expression, then their periodic cross-correlation function can be defined as
Wherein, 0≤τ≤L-1, symbol * represents complex conjugate, ()
LExpression mould L operation.When i=j, this definition becomes periodic auto-correlation function.
For M sequence { s
i=(s
I, 0, s
I, 1..., s
I, L-1), 0≤i≤M-1} can become the new sequence that a length is ML, i.e. s after they interweave
0⊙ s
1⊙ ... ⊙ s
M-1=(s
0,0, s
1,0..., s
M-1,0, s
0,1, s
1,1..., s
M-1,1..., s
0, L-1, s
1, L-1..., s
M-1, L-1).Order
Expression is to sequence s
iMove to left n for the operation, then
Make S={S
i=(s
I, 0, s
I, 1..., s
I, L-1), 0≤i≤M-1} represents a set that to comprise M length be the sequence of L, if this S set satisfies
1≤| τ |≤Z
a, and
| τ |≤Z
c, then this set is called the zero-correlation zone sequence set, is represented as ZCZ-(L, M, Z).Wherein, Z
aAnd Z
cRepresent respectively zero auto-correlation section length and zero cross-correlation section length, Z=min{Z
a, Z
c.The parameters of set ZCZ-(L, M, Z) satisfies corresponding theoretical boundary, namely
Wherein
Expression is to rounding operation under the L/M.
As seen, traditional zero-correlation zone sequence is integrated between zero correlation section length and the sequence number and has contradiction, in order to obtain larger zero correlation section length, must sacrifice the number of sequence, namely will reduce the capacity of system.So, certain combination is carried out in a plurality of zero-correlation zone sequence set, become a kind of effective solution.
Summary of the invention
The present invention is integrated into contradiction between zero correlation section length and the sequence number in order to solve zero-correlation zone sequence, utilize perfect sequence and shift sequence thereof that traditional zero-correlation zone sequence is gathered the expansion that interweaves, thereby form a new set that comprises a plurality of zero-correlation zone sequence set.
Building method and the device of mutually orthogonal zero correlation block multiphase sequence set of the present invention comprise: require to select a traditional zero-correlation zone sequence set as the core set of structure according to real system, then select a length to equal core set sequence number purpose perfect sequence, then the sequence in the core set and perfect sequence are carried out cyclic shift, sequence in the core set after perfect sequence element after will being shifted again and the displacement is carried out product calculation, at last each sequence of product gained is carried out interlace operation, just core set can be expanded into a new arrangement set that comprises a plurality of mutually orthogonal zero correlation block multiphase sequence subclass.
Building method and the device of mutually orthogonal zero correlation block multiphase sequence set of the present invention may further comprise the steps:
A) based on parameters such as zero correlation section length and sequence lengths, select a traditional zero-correlation zone sequence set ZCZ-(L
0, P, Z
0) as core set, namely
；
B) select the perfect sequence y=(y that length is P
0, y
1..., y
P-1), it has desirable periodic auto-correlation function, namely satisfies φ
Y, y(τ)=0, (τ)
P≠ 0.For example, Zadoff-Chu sequence and Frank sequence etc.;
C) to core set
In each sequence carry out ring shift left t position, namely
Simultaneously, with perfect sequence y=(y
0, y
1..., y
P-1) carry out ring shift left t ' position, namely
0≤t '≤P-1;
D) the corresponding sequence in the core set after the element of the perfect sequence after the cyclic shift and the displacement is carried out product calculation, then these sequences being woven into a length successively is PL
0New sequence.The like, for given shift value t, when shift value t ' traversal 0,1,2 ..., during P-1, can obtaining altogether, P length is PL
0New sequence, these sequences form a sequence subset and close;
E) make a variable r satisfy 0≤r≤P-1, when r traversal 0,1,2 ..., P-1, and t traversal 0,1,2 ..., Z
0The time, then can obtain altogether P (Z
0+ 1) individual sequence subset closes, and these sequence subsets close and consisted of mutually orthogonal zero correlation block multiphase sequence set A.Wherein, (r (Z
0+ 1)+t) individual sequence subset closes
In the individual sequence of t '
Can be configured to
According to above-mentioned generation step, the mutually orthogonal zero correlation block multiphase sequence set that obtains has following feature:
1) arrangement set A comprises P altogether
2(Z
0+ 1) individual sequence;
2) length of each sequence is PL
0
3) P in the set A
2(Z
0+ 1) individual sequence is divided into P (Z
0+ 1) individual sequence subset closes;
4) each sequence subset closes and comprises P sequence;
5) each sequence subset closes and can be counted as a ZCZ-(PL
0, P, PZ
0) traditional zero-correlation zone sequence set;
6) be mutually orthogonal between the sequence during different sequence subsets close;
7) arrangement set A can be counted as a ZCZ-(PL
0, P
2(Z
0+ 1), 0) traditional zero-correlation zone sequence set;
8) arrangement set A can reach the theoretical circles of sequences Design, as long as core set ZCZ-(L
0, P, Z
0) be desirable.
Above-mentioned steps A of the present invention)-E) produce have an above-mentioned feature 1)-8) and mutually orthogonal zero correlation block multiphase sequence set A comprise a plurality of mutually orthogonal zero correlation block multiphase sequence subclass, can be for large capacity code division multiple address communication system provide the sequence with good interference suppression characteristic, simultaneously also can be as the synchronous training sequence of the communication systems such as OFDM and channel estimating reference signal etc.
Description of drawings
Fig. 1 is the installation drawing that the present invention constructs mutually orthogonal zero correlation block multiphase sequence set;
Fig. 2 is sequence in the present invention's mutually orthogonal zero correlation block multiphase sequence set of constructing in example 1
Normalization period auto-correlation function value distribution map, wherein monolateral zero auto-correlation section length is 18;
Fig. 3 is sequence in the present invention's mutually orthogonal zero correlation block multiphase sequence set of constructing in example 1
With
Between normalization period cross-correlation function value distribution map, wherein monolateral zero cross-correlation section length is 18;
Fig. 4 is sequence in the present invention's mutually orthogonal zero correlation block multiphase sequence set of constructing in example 1
With
Between normalization period cross-correlation function value distribution map, be quadrature between two sequences wherein.
Embodiment
Further specify as follows below in conjunction with drawings and Examples to technical scheme of the present invention:
Example 1
Sequence subset of present embodiment structure close number be 27 and sequence length be 243 mutually orthogonal zero correlation block multiphase sequence set A.Select document (H.Torii, M.Nakamura, N.Suehiro " A New Class of Polyphase Sequence Sets with Optimal Zero-Correlation Zones, " IEICE Trans.on Fundamentals, vol.E88-A, no.7, pp.1987-1994, July 2005) in three-phase zero-correlation zone sequence set ZCZ-(27,9,2) as core set, sequence length is L as can be known herein
0=27, the sequence number is P=9, and monolateral zero correlation section length is Z
0=2.This core set X={x
i=(x
I, 0, x
I, 1..., x
I, 26), the sequential element x among 0≤i≤8}
I, lBe expressed as
0≤l≤26.Sequence x then
iCan be by φ
iExpression, wherein,
φ
0＝(012012012021021021000000000)，φ
1＝(000000000012012012021021021)，
φ
2＝(021021021000000000012012012)，φ
3＝(012201120021210102000222111)，
φ
4＝(000222111012201120021210102)，φ
5＝(021210102000222111012201120)，
φ
6＝(012120201021102210000111222)，φ
7＝(000111222012120201021102210)，
φ
8＝(021102210000111222012120201)。
Select length be 9 and coefficient be 1 Zadoff-Chu perfect sequence, then this sequence can be expressed as
According to the constitution step among the present invention, can construct one based on above-mentioned core set and perfect sequence and comprise the new arrangement set that 27 sequence subsets close
Sequence number and sequence length all equal 243 among the arrangement set A that obtains, and each sequence subset closes and comprises 9 sequences.Consider the length restriction, no longer each sequence is enumerated out one by one herein.
Cyclic autocorrelation, the sequence subset that Fig. 2-Fig. 4 has provided the mutually orthogonal zero correlation block multiphase sequence set A that present embodiment constructs successively closes the distribution situation of the periodic cross-correlation between the sequence that interior periodic cross-correlation and different sequence subset close.
Can clearly be seen that from figure cycle zero auto-correlation section length and sequence subset close interior zero cross-correlation section length and all equal 18, i.e. PZ
0=9 * 2=18.Simultaneously, be mutually orthogonal between the sequence that different sequence subsets close.So, the mutually orthogonal zero correlation block multiphase sequence set A of constructing in this example can be regarded as a ZCZ-(243,243,0), and its each sequence subset closes and can be counted as a ZCZ-(243,9,18).Because core set ZCZ-herein (27,9,2) be a desirable zero correlation block multiphase sequence set, the building method of front is as can be known according to the present invention so, mutually orthogonal zero correlation block multiphase sequence set A also is a desirable zero correlation block multiphase sequence set, and namely 243 length is to be mutually orthogonal between 243 the sequence altogether.
Further contemplating these 243 sequences in the set A has and has been divided into 27 sequence subsets and closes, and to have One-sided Widths between the sequence of subclass inside be 18 zero correlation block, so the correlated performance of the present invention's mutually orthogonal zero correlation block multiphase sequence set A of constructing obviously is better than the conventional orthogonal arrangement set of equal length.
Although above the present invention is had been described in detail, the invention is not restricted to this, those skilled in the art of the present technique can carry out various modifications according to principle of the present invention.Therefore, all modifications of doing according to the principle of the invention all should be understood to fall into protection scope of the present invention.
Claims (3)
1. the building method of a mutually orthogonal zero correlation block multiphase sequence set, require to select a traditional zero-correlation zone sequence set as the core set of structure according to real system, then select a length to equal core set sequence number purpose perfect sequence, then the sequence in the core set and perfect sequence are carried out cyclic shift, the element of the perfect sequence after will being shifted again with the displacement after core set in corresponding sequence carry out product calculation, at last each sequence of product gained is carried out interlace operation, just core set can be expanded into a new arrangement set that comprises a plurality of mutually orthogonal zero correlation block multiphase sequence subclass.
2. building method and the device of mutually orthogonal zero correlation block multiphase sequence set of the present invention may further comprise the steps:
A) based on parameters such as zero correlation section length and sequence lengths, select a traditional zero-correlation zone sequence set ZCZ-(L
0, P, Z
0) as core set, namely
B) select the perfect sequence y=(y that length is P
0, y
1..., y
P-1), it has desirable periodic auto-correlation function, namely satisfies φ
Y, y(τ)=0, (τ)
P≠ 0, such as Zadoff-Chu sequence and Frank sequence etc.;
C) to core set
In each sequence carry out ring shift left t position, namely
Simultaneously with perfect sequence y=(y
0, y
1..., y
P-1) carry out ring shift left t ' position, namely
0≤t '≤P-1;
D) the corresponding sequence in the core set after the element of the perfect sequence after the cyclic shift and the displacement is carried out product calculation, then these sequences being woven into a length successively is PL
0New sequence, the like, for given shift value t, when shift value t ' traversal 0,1,2 ..., during P-1, can obtaining altogether, P length is PL
0New sequence, these sequences form a sequence subset and close;
E) make a variable r satisfy 0≤r≤P-1, when r traversal 0,1,2 ..., P-1, and t traversal 0,1,2 ..., Z
0The time, then can obtain altogether P (Z
0+ 1) individual sequence subset closes, and these sequence subsets close and consisted of mutually orthogonal zero correlation block multiphase sequence set A, wherein, and (r (Z
0+ 1)+t) individual sequence subset closes
In the individual sequence of t '
Can be configured to
3. according to above-mentioned generation step, the mutually orthogonal zero correlation block multiphase sequence set that obtains has following feature:
1) arrangement set A comprises P altogether
2(Z
0+ 1) individual sequence;
2) length of each sequence is PL
0
3) P in the set A
2(Z
0+ 1) individual sequence is divided into P (Z
0+ 1) individual sequence subset closes;
4) each sequence subset closes and comprises P sequence;
5) each sequence subset closes and can be counted as a ZCZ-(PL
0, P, PZ
0) traditional zero-correlation zone sequence set;
6) be mutually orthogonal between the sequence during different sequence subsets close;
7) arrangement set A can be counted as a ZCZ-(PL
0, P
2(Z
0+ 1), 0) traditional zero-correlation zone sequence set;
8) arrangement set A can reach the theoretical circles of sequences Design, as long as core set ZCZ-(L
0, P, Z
0) be desirable.
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| WO2024124573A1 (en) * | 2022-12-16 | 2024-06-20 | 华为技术有限公司 | Sequence transmission method and apparatus |
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