ECHO REMOVAL BY DISCRETE GENERALIZED LINEAR FILTERING
MASSACHUSETTS INST OF TECH CAMBRIDGE RESEARCH LAB OF ELECTRONICS
Pagination or Media Count:
A new approach to separating convolved signals, referred to as homomorphic deconvolution, is presented. The class of systems considered in this report is a member of a larger class called homomorphic systems, which are characterized by a generalized principle of superposition that is analogous to the principle of superposition for linear systems. A detailed analysis based on the z-transform is given for discrete-time systems of this class. The realization of such systems using a digital computer is also discussed in detail. Such conputational realizations are made possible through the application of high-speed Fourier analysis techniques. As a particular example, the method is applied to the separation of the components of a convolution in which one of the components is an impulse train. This class of signals is representative of many interesting signal-analysis and signal-processing problems such as speech analysis and echo removal and detection. It is shown that homomorphic deconvolution is a useful approach to either removal or detection of echoes.
- Voice Communications