Design and application of the Walsh-like bases with linear coherence for DFT processor frequency scales

Authors

  • Dmytro Poltoratskyi National Aviation University

Keywords:

Walsh bases, Walsh-Cooley, Walsh-Tukey, Discrete Fourier Transform (DFT), linear coherence, digital signal processing, frequency resolution, matrix transformation, non-sinusoidal signals, ортогональні функції

Abstract

This paper introduces two new Walsh-like bases, Walsh-Cooley and Walsh-Tukey, which provide linear coherence to the frequency scales of the DFT processor. These bases improve upon traditional Walsh systems by offering better frequency resolution, computational efficiency, and ease of hardware implementation. Their application in digital signal processing, especially for non-sinusoidal signals, is demonstrated through comparative analysis.

Additional Files

Published

2025-03-28

Issue

2024: XI Всесвітній конгрес “Авіація в XXI столітті” – “Безпека в авіації та космічні технології”

Section

Telecommunication and radio electronic systems