Wavelet is the newly emerging transformation theory, where you transform real signals into frequency and time domain at the same time so that the time range of occurrence for some band signals could be found. In this transformation, translated and scaled wavelet function is convoluted to the signal to be analysed.
Wavelet technology could be best available compression technologies with complete reconstruction of original signal with no information loss. Being always lossy compression with DCT compression technology, wavelet transform can be used for lossless compression. In any compression technologies, larger the number of transformation coefficients near to zero higher the compression ration is. Lager the number of coefficient made zero which are near to zero, higher the information is lost and the compression is lossy.
Wavelet transform of impulse function at t=500 with haar wavelet as basis function.
Wavelet technology could be best available compression technologies with complete reconstruction of original signal with no information loss. Being always lossy compression with DCT compression technology, wavelet transform can be used for lossless compression. In any compression technologies, larger the number of transformation coefficients near to zero higher the compression ration is. Lager the number of coefficient made zero which are near to zero, higher the information is lost and the compression is lossy.
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