Wavelets and wavelets-design issues

This paper attempts to synthesise the wavelet theories to simple design procedures so that applied researchers can readily select or design wavelets with chosen characteristics for particular applications. The paper highlights the importance of the four most desirable characteristics of wavelets for use in digital signal processing, namely-orthonormality, symmetry, compactness and smoothness. Some of these characteristics are mutually exclusive and require design compromise. Examples of some most popular wavelets and the effects their characteristics have on the quality of the reconstructed image in wavelet-based image coding, are given for comparison.<<ETX>>