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Filters with monotonic amplitude-frequency response

The polynomial low-pass filters monotonic in the pass-band amplitude-frequency responses are proposed. The characteristics are intermediate between the Butterworth and Papoulis filters (with these two classes as limiting), and can be obtained starting from the filters of fifth order. The number of the intermediate characteristics increases with the filter order. Decreasing the pass-band flatness degree one can obtain additional attenuation in the stop-band.