Method and device using deletion technology to generate type-2 binary aperiodic Z complementary sequence pair signal
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A complementary sequence and non-periodic technology, applied in the field of communication systems, can solve problems such as few construction methods, complex construction process, and difficult implementation process
Active Publication Date: 2020-06-05
CHONGQING UNIV OF POSTS & TELECOMM
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[0010] In short, in the prior art, there are few construction methods for the two-type binary aperiodic Z-complementary sequence pair, and they cannot generate all the required lengths, and
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[0044] The following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some, not all, embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.
[0045] The present invention provides a pair of signal and device for generating two-type binary aperiodic Z complementary sequence pair by deletion method, such as figure 1 , the method specifically includes the following steps:
[0046] S1, arbitrarily selected binary Golay complementary sequence pairs with even length N' ( a , b ) as a seed pair;
[0047] S2. Randomly select s positive integers r i , where 1≤s≤N-1, 1≤i≤s, and 11 2 s
[0048] S3. ...
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Abstract
The invention belongs to the technical field of communication systems, and particularly relates to a method and a device using a deletion technology to generate a type-2 binary aperiodic Z complementary sequence pair signal pair. The method comprise the following steps: randomly selecting a binary golay complementary sequence pair (a_, b_) with an even length of N' as a seed pair; randomly selecting s positive integers ri, wherein i is greater than or equal to 1 and less than or equal to s; randomly selecting s positive integers dj, wherein j is greater than or equal to 1 and less than or equal to s; deleting the ri-th code element of the sequence a_ to obtain a sequence of which the length is N = N-s as e_; and deleting the dj-th code element of the sequence b_ to obtain a sequence of which the length is N = N-s as w. The sequence length and the zero-correlation region width of the type-2 binary aperiodic Z complementary sequence pair (e_, w_) obtained in the invention are adjustable,and the odd-length type-2 binary aperiodic Z complementary sequence pair reaching the maximum zero-correlation region width can be generated. Further, an implementable device is provided. The methodand the device can be applied to signal processing, communication systems, large-scale integrated circuit testing and the like.
Description
technical field [0001] The invention belongs to the technical field of communication systems, and in particular relates to a signal and a device for generating a type two binary aperiodic Z complementary sequence pair by a deletion method. Background technique [0002] The two-type binary aperiodic Z-complementary sequence pair is composed of two sequences of equal length N, and its characteristic is that the sum of the aperiodic autocorrelation functions of these two sequences is at the maximum time shift point, that is, around τ=N-1 There is a zero correlation zone (ZCZ for short). For example, the following pair of binary sequences of length N=11: [0003] a =(1,-1,-1,1,-1,-1,1,-1,-1,-1,1) [0004] b The sum of the aperiodic autocorrelation function of =(1,-1,-1,-1,-1,-1,-1,-1,1,1,-1) is: [0005] (22,2,-2,6,2,-2,0,0,0,0,0) (0 ≤ time shift τ ≤ 10). [0006] It is very obvious that there are 5 zeros around the maximum time shift point τ=10, that is, the pair of seque...
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