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A Detailed study of discrete wavelet transform and fast wavelet transform has been presented in this paper. Older techniques for image compression such as FFT and DCT have also been discussed. Wavelet analysis represents the next logical step: a windowing technique with variable-sized regions. Wavelet analysis allows the use of long time intervals where the authors want more precise low-frequency information, and shorter regions where they want high-frequency information. Wavelet Based Analysis provide one of the common goals of image compression, i.e., the signal or image clearance and simplification, which are parts of de-noising or compression.
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