Decimation of m-sequences leading to any desired phase shift

B. Arazi

doi:10.1049/el:19770155

Decimation of m-sequences leading to any desired phase shift

B. Arazi

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

If every kth bit of an m-sequence A of periodicity 2ⁿ-1 is sampled, where (k, 2ⁿ-1) = 1, the resultant sequence A(k) is also an w-sequence with the same periodicity. The dependence between the first n bits of A and those of A(k) is shown here. For k = 2^m, A(k) is a shifted version of A. It is also shown how the n-tuple is to be determined with which A should start in order that the phase shift between A and A(k) should be Q., 0 ≤ q ≤ 2ⁿ-2.

Original language	English
Pages (from-to)	213-215
Number of pages	3
Journal	Electronics Letters
Volume	13
Issue number	7
DOIs	https://doi.org/10.1049/el:19770155
State	Published - 31 Mar 1977
Externally published	Yes

Keywords

Binary sequences

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1049/el:19770155

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abstract = "If every kth bit of an m-sequence A of periodicity 2n-1 is sampled, where (k, 2n-1) = 1, the resultant sequence A(k) is also an w-sequence with the same periodicity. The dependence between the first n bits of A and those of A(k) is shown here. For k = 2m, A(k) is a shifted version of A. It is also shown how the n-tuple is to be determined with which A should start in order that the phase shift between A and A(k) should be Q., 0 ≤ q ≤ 2n-2.",

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N2 - If every kth bit of an m-sequence A of periodicity 2n-1 is sampled, where (k, 2n-1) = 1, the resultant sequence A(k) is also an w-sequence with the same periodicity. The dependence between the first n bits of A and those of A(k) is shown here. For k = 2m, A(k) is a shifted version of A. It is also shown how the n-tuple is to be determined with which A should start in order that the phase shift between A and A(k) should be Q., 0 ≤ q ≤ 2n-2.

AB - If every kth bit of an m-sequence A of periodicity 2n-1 is sampled, where (k, 2n-1) = 1, the resultant sequence A(k) is also an w-sequence with the same periodicity. The dependence between the first n bits of A and those of A(k) is shown here. For k = 2m, A(k) is a shifted version of A. It is also shown how the n-tuple is to be determined with which A should start in order that the phase shift between A and A(k) should be Q., 0 ≤ q ≤ 2n-2.

KW - Binary sequences

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U2 - 10.1049/el:19770155

DO - 10.1049/el:19770155

M3 - Article

AN - SCOPUS:0017465969

SN - 0013-5194

VL - 13

SP - 213

EP - 215

JO - Electronics Letters

JF - Electronics Letters

IS - 7

ER -

Decimation of m-sequences leading to any desired phase shift

Abstract

Keywords

ASJC Scopus subject areas

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