THE OPERATION OF MULTICHANNEL FEEDFORWARD ADAPTIVE SYSTEMS

A generalized formulation describing the operation of multichannel fee dforward adaptive systems is developed that is applicable to random as well as to deterministic signals. Expressions for the optimum multich annel adaptive-filter transfer functions and the resulting minimized c ost function are derived. The cost function is a generalized, nondiago nal, quadratic function of the error signal and the expended power, Sp ectral shaping of the cost function is also considered, which enables varying the emphasis between error and power reduction as a function o f frequency, The maximum achievable error-reduction performance of mul tichannel feedforward adaptive systems is derived. Results of computer experiments are presented, validating all analytical results.