On the Experimentation of Data Approximation Using the Discrete Wavelet Transform Compared with the Discrete Cosine Transform

Abstract

One advantage of the Wavelet transform is that often a large number of the detail coefficients turn out to be very small in magnitude. Truncating or removing these small coefficients from the representation introduces only small errors in the reconstruction and because of the Multiresolution analysis, they are localization errors. This paper propose the experimentation of data approximation using the wavelet transform. The reconstruction of signal and image examples by removing small coefficients from the transform domain are depicted. All processes using MATLAB program for computing. Results of the proposed method are compared with the tradition Cosine transform method which supports high efficiency of the Wavelet transform.