Wavelets for Single Carrier Communications

This paper aims to provide a report regarding the seminar presentation given on 23.02.2011 as a part of the postgraduate seminar course S-88.4223 Wavelets in Communications 1 lectured by Dr. Sumesh Parameswaran at Aalto University School of Electrical Engineering. In particular, the topic on " wavelets for single carrier communications " has been considered in this paper. I. Introduction Wavelets are small oscillatory waveforms that are non-zero for a limited period of time, satisfying certain mathematical conditions. The primary advantages of wavelet transform are considered to be wavelet diversity and high localization in time and frequency domains. Fast wavelet transform is implemented via filter banks. One important feature of the wavelets is that wavelet symbols are overlapping both in time and frequency. This feature enables a high spectral efficiency. Another important feature of the wavelets is the so-called wavelet diversity. Wavelet diversity implies that there exist various wavelet families and new wavelets can be designed depending on the application of interest. This paper provides an overview of the wavelet applications in the field of single carrier communications.