Optical Wavelet Transform with Use of A Computer—Generated Hologram

Abstract

The wavelet transform (WT) is a relatively useful and powerful technique in many applications, such as signal processing, pattern recognition, data compression, and so on.1-3 It overcomes the disadvantages of the Fourier transform and the Gabor transform, and provides an explicit representation of a signal in both space and frequency domains. Many configurations have been proposed to implement the wavelet transform, however, most of them are based on optical correlator. In this presentation, we present a new scheme to achieve the WT by a computer-generated hologram (CGH) based on the general theory of optical transform.4-6 The for determining the CGH is derived and a computer simulation is presented.