Generalized parametric Slant–Hadamard transform

Signal Processing 84 (2004) 1299 – 1306

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Generalized parametric Slant–Hadamard transform Sos Agaian, Khaled Tourshan∗ , Joseph P. Noonan 531 Kings Highway R3, Moorestown, NJ 08057, USA Received 20 June 2002; received in revised form 14 December 2002

Abstract The purpose of this paper is to develop a class of generalized parametric Slant–Hadamard transform of order (N = k n ; n = 2; 3; : : :) where k is an arbitrary integer and to present its fast algorithm. Two-transforms-based generalized Wiener 4ltering is also presented. We show that the two-transforms-based generalized Wiener 4ltering outperforms the classical one transform generalized Wiener 4ltering. ? 2004 Published by Elsevier B.V. Keywords: Slant–Hadamard transform; Wiener 4ltering

1. Introduction Digital images exhibit a phenomenon characteristic of having approximately constant or uniformly changing gray levels over a considerable distance or area. The slant transform [1,6–10,12,15] is speci4cally customdesigned for the e