A Class of Random Binary Waveforms With Impulse-Like Autocorrelation

TL;DR

This paper introduces a method to generate random binary waveforms with impulse-like autocorrelation by randomizing symbol lengths in a Bernoulli process, useful for signal processing applications.

Contribution

It proposes a novel technique for producing impulse-like autocorrelation in binary waveforms through random symbol length variation and practical implementation using a shift register.

Findings

Generated waveforms exhibit impulse-like autocorrelation properties.

The method can be implemented with a shift register and spread-period clock.

Applicable to signal processing and radar systems.

Abstract

It is shown that a random binary process with impulse-like autocorrelation can be generated by randomizing the length of symbols occurring in a random Bernoulli process. Such randomization is achieved by random (or judiciously designed irregular) sampling of the output of a source that supplies a symmetric random binary waveform. One practical configuration implementing the proposed technique is a linear-feedback shift register driven by a spread-period clock generator.