Signal compression using the discrete wavelet transform and the discrete cosine transform

Signal compression using the wavelet transform and discrete cosine transform is investigated on short duration synthetic signals. The signal fidelity as measured by peak signal to noise ratio (PSNR) is compared for an assortment of wavelet basis functions. Plots of PSNR versus the signal compression are provided. The signal entropy is computed in each basis as an indicator of the performance of the compression process. Simulations demonstrating the effectiveness of each basis are presented and contrasted.