Homomorphic detection of convolved signals using class 1 filters

It is shown that signals which are convolutionally combined can be detected using optimal homomorphic filtering. The system uses Fourier transforms combined with a log[ ] operator. Dual-channel filtering is described. Single-channel filtering is also possible but does not perform as well. A simulation is presented to demonstrate the computations involved. Although Class 1 algorithms were used for simplicity, the techniques have been extended using Class 2 algorithms. Excellent results are also obtained. This homomorphic filtering technique can be used to solve a variety of problems that cannot otherwise be solved using classical methods