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