The behavior of data-transmission systems, in particular p. a. m. systems, using partial-response signalling techniques in the presence of Gaussian and impulsive noise is investigated. A 3rd-order polynomial device expressed by Y equals a//1x plus a//2x**3 with an optimum nonlinearity resemblance is employed to suppress the large excursions of the impulsive noise. The effects of the nonlinearity on the partial-response signalling-systems behavior is searched. An equaliser-design approach in the frequency domain is presented that includes the constraints of elimination of performance degradation owing to the nonlinearity and minimization of the receiver-output noise power. Several partial-response signalling systems which are of practical interest are considered, and for each system the receiving-filter (equaliser) characteristics are obtained. Finally, the behavior of standard p. a. m. systems and partial-response signalling systems in the presence of nonlinearity are compared.
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