Circuit design from minimized Haar wavelet series

Abstract

The paper discusses complexity of circuit realization through Haar wavelet series. By applying permutation of binary coordinates of indices of Haar functions, a lower complexity of circuit synthesis through higher number of zero Haar coefficients has been achieved. Experimental results confirm the minimization of the number of non-zero Haar coefficients and the savings range from 5.25% to 99.41% for all benchmark functions.