A note on an OACF-preserving operation based on Parker's Transformation

04/08/2020
by   Geyang Wang, et al.
0

Binary sequences with low odd-periodic correlation magnitudes have found important applications in communication systems. It is well known that the nega-cyclic shift and negation preserve the odd-periodic autocorrelation function (OACF) values in general. In this paper, we define a new operation based on Parker's transformation, which also preserves the OACF values of binary sequences. This enables us to classify Parker's 16 cases into 8 ones, and may possibly further allow to classify all constructions based on Parker's transformation.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
10/23/2022

Binary sequences with a low correlation via cyclotomic function fields with odd characteristics

Sequences with a low correlation have very important applications in com...
research
07/25/2021

Binary sequences with low correlation via cyclotomic function fields

Due to wide applications of binary sequences with low correlation to com...
research
06/19/2019

Linear Complexity of A Family of Binary pq^2-periodic Sequences From Euler Quotients

We first introduce a family of binary pq^2-periodic sequences based on t...
research
08/12/2021

New Constructions of Golay Complementary Pair/Array with Large Zero Correlation Zone

Zero correlation zone (ZCZ) sequences and Golay sequences are two kinds ...
research
02/10/2022

Low Ambiguity Zone: Theoretical Bounds and Doppler-Resilient Sequence Design in Integrated Sensing and Communication Systems

In radar sensing and communications, designing Doppler resilient sequenc...
research
09/26/2022

New Spectrally Constrained Sequence Sets with Optimal Periodic Cross-Correlation

Spectrally constrained sequences (SCSs) play an important role in modern...
research
01/13/2023

Correlation-Based And-Operations Can Be Copulas: A Proof

In many practical situations, we know the probabilities a and b of two e...

Please sign up or login with your details

Forgot password? Click here to reset