Design and Analysis of level 1 and level 2 Discrete Wavelet Transform using Vedic Multiplier

Abstract

Wavelet transform is a transform which provides both the time and frequency information simultaneously. CWT (continuous wavelet transform) provides highly redundant data which needs large computation time and resource, so DWT (Discrete wavelet transform )came into picture which provides sufficient amount of information for analysis and synthesis of the original signal with a reduced computation time. In DWT, filters of different cut-off frequencies are used to analyse the input signal sequence. The signal is passed through different high pass and half band low pass filters. Filtering a signal is done by convolution of
the signal sequence with impulse response of filters. Haar wavelet coefficients are used here as impulse response of filters. Then the output of low pass filters are further passed through the high pass filter and half band low pass filters to get the 2nd level DWT coefficients. We have designed level 2 DWT using Vedic multiplier (for convolution) in Xilinx 14.7 software using VHDL and their stimulated results are obtained