Non-linear filter for rejection of an unknown frequency sine wave interference in an ‘ask system’

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Abstract
This paper presents an analysis and description of the implementation of a Function Elimination Filter (FEF) of the integral type which could be used to reject a sine-wave interference (SWI) in an Amplitude Shift Keying System (ASK). One structure of this filter is expressed by the second-order determinant; its elements are inner products of the observed process and certain coordinate functions. It is sufficient that this FET rejects a sine-wave interference in spite of the absence of any a priori knowledge about its parameters (including frequency). It is shown here that there exist some situations when use of FEF is preferable to a conventional Matched Filter (MF) in order to achieve a minimum total probability of error. The experimental results of testing this filter for detecting a signal in the presence of both SWI and Gaussian noise are given.

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