ON A CERTAIN DISCRETE MINIMAX PROBLEM IN DECONVOLUTION‐INVERSE FILTERING

A solution of a discrete minimax problem is derived, using the standard methods of approximation theory. It represents a problem of the deconvolution‐inverse filtering of a three‐element discrete even signal, subject to a constraint on the output signal sidelobe level. Consequently, properties of this solution, in particular the asymptotic behaviour of the parameter, which represents the degradation of signal‐to‐noise ratio due to the filtering are examined.