Wavelet transformation is a powerful tool for the analysis and synthesis of signals.
Wavelets have been recently used heavily in Compression technologies. So, compression can be achieved via a simple thresholding operation. This may account for the reason why JPEG2000 is based on the use of wavelets. The basic structure of a wavelet transform is composed of recursive filtering and decimation, both of which are relatively easy to implement. The Kernel separability property in wavelet transform theory is an interesting feature that renders multidimensional wavelet transforms as a powerful tool for multidimensional signal processing.