Multiresolution and Wavelets

  • Gianfranco Cariolaro


Time domain and frequency domain analysis suffer the drawback of a scarce resolution, in frequency and in time, respectively. In several applications a segmented resolution (multiresolution) is required, where relevant parts of the signal are detailed, and other parts are only roughly represented. The modern technique that achieves this goal is provided by wavelets that are the target of this chapter. Wavelets are strongly related to the topics developed in the previous chapter, since they can be effectively formulated in the framework of generalized transforms (wavelet transform) and their practical implementation is by means of filter banks. In the final part of the chapter, multiresolution analysis is illustrated with examples of applications.


Impulse Response Discrete Wavelet Transform Filter Bank Finite Impulse Response Scaling Function 
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