Wavelets Fourier transform analyzes frequency resolutions, but not time Wavelets analyze a function in both time and frequency domains   Good time resolution and poor frequency resolution at high frequencies   Good frequency resolution and poor time resolution at low frequencies Wavelets are useful for short duration signals of high frequency and long duration signals of short frequency Wavelets are generated from a mother wavelet function Zero mean (oscillatory, i.e., wave nature): Unit length: Basis functions are generated by scaling (s) and shifting ( l ) the mother wavelet