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Walsh-Hadamard and Discrete Cosine Transform and Discrete Cosine Transform

Rumen P. Mironov
Faculty of Telecommunications Technical University of Sofia Boul. Kl. Ohridsky 8, Sofia 1000 Bulgaria

Abstract: A comparison of the developed complex Hadamard transform with the well-known unitary (orthogonal) transforms of Karhunen-Loeve, Fourier, Walsh-Hadamard and discrete cosine transform is presented. The comparison is made on the base of minimization of mean-squared error of reconstructed transform coefficients for two test images.

Keywords: Digital Image Processing, Complex Hadamard Transform, Orthogonal Transforms Walsh-Hadamard and Discrete Cosine Transform and Discrete Cosine Transform

DOI:https://doi.org/10.6025/jcl/2022/13/1/9-14

Full_Text PDF 2.18 MB Download: 137 times

References:

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[4] Mironov, R., Kountchev. R. (2006). Analysis of Complex Hadamard Transform Properties, XLI International Scientific Conference on Information, Communication and Energy Systems and Technologies, ICEST 2006, 26 June – 1st July, Sofia, Bulgaria, 173- 176.
[5] Rahardja, S., Falkowski, B. (1999). Comparative Study of Discrete Orthogonal Transforms in Adaptive Signal Processing, IEICE Trans. Fundamentals, E82-A (8), August, 1386-1390.
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[8] Mironov, R., Kountchev. R. (2011). Spectrum Optimization of Truncated Complex Hadamard Transform, XLVI Intern. Scientific Conf. on Information, Communication and Energy Systems and Technologies (ICEST’11), Serbia, Niš, June 29- Jule 1, Proceedings Volume (1), 23-26.
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[10] Falkowski, B., Rahardja, S. (2004). Complex Hadamard Transforms: Properties, Relations and Architecture, IEICE Trans. Fundamentals. Vol. E87-A (8) August.

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