Some theorems on Walsh transforms of quantizer differential and integral nonlinearity

Methods for diagnosing weight coefficient tolerances of quantizers are derived, based on the assumption of known and available data about the quantizer´s nonlinearities. Two of the methods are direct and 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 that use the Walsh transformation on the quantizer´s differential or integral nonlinearities. The language MATLAB has been used to good effect for simulation of these techniques