Recent Study on Periodic Binary Signals with Zero Cross Correlation Based on Walsh Sequences

Periodic binary signals coded using Walsh orthogonal functions are considered in this research. In modern communication, telemetric and optical networks, binary coded signals are used. For periodic signals, it is shown that there are classes of signals that do not have reciprocal frequency components with a size of N = 2n (n = 1 , 2, 3, …) for each Walsh method. There is zero cross correlation (CC) or zero multiple access interference (MAI) in these classes of periodic signals. From these groups of signals, periodic signal ensembles with zero MAI can be formed. In these ensembles, the maximum number of binary signals is determined by the number of groups and is equal to n+1. In the time domain, signals with zero MAI are orthogonal when a time shift is present between them and can be separated without tight separation. synchronisation. Examples of philtre separation are given. Applying this principle to radio signals allows independent radio frequency signals to be created by n+1. On the receiver side, these signals can be isolated without a close synchronisation between them. In asynchronous CDMA communication, telemetric networks (e.g. Wireless Body Area Networks (WBANs), Wireless Sensor Networks ( WSNs)) and optical systems, the findings of this research may be used.

Author (s) Details

A. V. Titov
Mays Landing, USA and Electrotechnical University LETI in St. Petersburg, Russia.

G. J. Kazmierczak
Wave Systems Corp., Princeton, New Jersey, United States of America.

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