Some theorems on Walsh transforms of quantizer differential and integral nonlinearity

Abstract

Methods of diagnosing component tolerances of quantizers are derived, based on the assumption of known and available data about a quantizer's nonlinearities. Two of the methods are direct and are based on the Householder orthogonalization, applied to an overdetermined equation system containing data about differential or integral nonlinearities. The remaining two methods are indirect and are based on two theorems which employ the Walsh transformation on the quantizer's differential or integral nonlinearities. The MATLAB language was used to good effect for simulation of these techniques.<>