A Wavelet and Advanced Wavelet Analysis for Wavelet Domain Communication System (WDCS) (A Way to Designing Communication System for Cognitive Radio)

Wavelet analysis is an exciting new method for solving difficult problems in mathematics, physics, and engineering, with modern applications. Wavelet transform of a function is the improved version of Fourier transform. In conventional Fourier transform, we use sinusoids for basis functions. It can only provide the frequency information. Temporal information is lost in this transformation process. In some applications, we need to know the frequency and temporal information at the same time The time and frequency analysis made possible by the wavelet transform provides insight into the character of transient signals through time-frequency maps of the time variant spectral decomposition that traditional approaches miss. Wavelet transform is one of a best tool for us to determine where the low frequency area and high frequency area is. In this paper, our main goal is to categorise the wavelet and advanced wavelet transform approach because the original WDCS implementation (Wavelet domain communication system) uses a linear Wavelet-based transform approach to overcome TDCS(Transform domain communication system) shortcomings in the way of cognitive radio designing.