IJRIT International Journal of Research in Information Technology, Volume 1, Issue 1, January 2013, Pg. 48-57

International Journal of Research in Information Technology (IJRIT) (IJRIT) www.ijrit.com

ISSN 2001-5569

Discrete Walsh-Hadamard Transform in Signal Processing A.A.C.A.Jayathilake 1, A.A.I.Perera 2, M.A.P.Chamikara 3

3

1

Department of Mathematics, University of Peradeniya, Peradeniya, Sri Lanka [email protected]

2

Department of Mathematics, University of Peradeniya, Peradeniya, Sri Lanka [email protected]

Postgraduate Institute of Science, University of Peradeniya, Peradeniya, Sri Lanka [email protected]

Abstract The Walsh-Hadamard transform (WHT) is an orthogonal transformation that decomposes a signal into a set of orthogonal, rectangular waveforms called Walsh functions. The transformation has no multipliers and is real because the amplitude of Walsh (or Hadamard) functions has only two values, +1 or -1.Therefore WHT can be used in many different applications, such as power spectrum analysis, filtering, processing speech and medical signals, multiplexing and coding in communications, characterizing non-linear signals, solving non-linear differential equations, and logical design and analysis. An orientation on the use of Hadamard matrix and Walsh matrix for the computer assisted signal processing of a particular signal is proposed here. The structure of the Walsh matrices and Hadamard matrices are briefly discussed. Keywords- Hadamard Matrices, Image Processing, Transformations, Walsh Matrices Full Text: https://sites.google.com/site/ijrit1/home/V1I114.pdf

A.A.C.A.Jayathilake et al, IJRIT

Discrete Walsh-Hadamard Transform in Signal ...

IJRIT International Journal of Research in Information Technology, Volume 1, Issue ... the amplitude of Walsh (or Hadamard) functions has only two values, +1 or.
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