Introduction to wavelets

Wavelets are being utilized in various communications applications either as an alternative to short-time Fourier transform for spectral analysis of non-stationary data or as a new tool to bridge between time domain and frequency domain analysis. The article provides an overview to the theory of wavelets and its application to communication problems. We discuss two examples. One involves using wavelets as a design tool to bridge time and frequency analysis in multiple access communication systems. The other involves using wavelets in transform domain excision in spread spectrum communication. For a detailed study of wavelets and their many uses in signal representation, bandwidth compression, clutter suppression, recognition, and multiresolution signal processing the readers are referred to a number of excellent review articles and references on this subject