|Autors: Mironov, R. P., Kountchev, R. K.|
Title: Complex Hadamard transform of digital signals: Properties and applications
Keywords: digital signal processing, DSP, complex Hadamard transform, data compression, fast unitary transforms, image processing, optimal truncated transforms, audio watermarking, spectrum optimisation, truncated orthogonal transforms, pattern recognition
Abstract: In this paper, we present a class of Complex Hadamard matrices, which are constructed on the base of well–known real Hadamard construction algorithm. The general properties of the developed matrices are discussed and algorithms for reordering and fast calculation of spectral coefficients are given. On the basis of theoretical investigations two applications of complex Hadamard transformation in the area of multidimensional digital signal processing are given. A new method for audio watermarking in the phase spectrum of audio signals and new method for spectrum optimisation of truncated orthogonal transforms are presented. The obtained result lead to the conclusion, that the elaborated complex Hadamard transform can be used efficiently in digital signal processing for spectral analysis, pattern recognition, digital watermarking, transformation, coding and transmission of one–dimensional and two–dimensional signals.
1. Joarder Jafor Sadique, Saifur Rahman Sabuj, Shaikh Enayet Ullah, Md. Akbar Hossain, Raad Raad, Md. Rabiul Islam, Abbas Z. Kouzani, M. A. Parvez Mahmud, Analytical Framework of CP-Free Multiuser OFDM System for Coordinated Multi-Point at mmWave, Appl. Sci. 2021, 11(16), 7605; MDPI, Basel, Switzerland. IF: 3.576 - 2021 - в издания, индексирани в Scopus или Web of Science
Вид: статия в списание, публикация в реферирано издание, индексирана в Scopus