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Wavelet Radio by Homayoun Nikookar

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2 Theory of wavelets

The wavelet transform is a powerful new tool to analyze data. It can be used to represent known/unknown signals as a set of known functions, called wavelets, and gain insights on their characteristics. The tool is used in various applications and is becoming very popular amongst technologists, engineers and mathematicians alike. In most of the applications, the power of the transform comes from the fact that the basis functions of the transform have compact support in time (or space) and are localized in frequency. Furthermore, the technique allows analysis of signals at different resolutions that often correspond to the natural behaviour of the process one wants to understand. These properties make wavelet transform a natural ...

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