Method and system for identification of system response parameters for finite impulse response systems

摘要

Methods and systems for determining characteristics of a Finite Impulse Response system that can include applying a number of identical sets of probe signals to the system and averaging the observed outputs. A discrete Fourier transform (DFT) of the averaged outputs can be obtained and the DFT components can be multiplied by corresponding transformed companion components related to the probe components. The system characteristics can be selected based on computing the inverse DFT of the resulting product components. The probe components can be taken from a circulant matrix of size S×S, or from an inverse DFT of a set of transform components consisting of arbitrary, non-zero, real numbers for first and last components of a partial set and arbitrary, non-zero, complex numbers for other components of the partial set to which the non-zero, complex number components of the partial set are added in reverse order and in complex conjugate.