Time domain and realization of a class of digital hybrid filter

This paper describes a time-domain design and realization of a digital hybrid filter with a specific cutoff frequency. The proposed realization is obtained by adding a single multiplier in a feedback loop to the low-pass or high-pass FIR filters with linear phase. The resulting hybrid filters can have the following improved frequency response: (1) Increased attenuation in the stop-band (compared to that obtainable with a Kaiser windowed FIR filter of the same order) for the same transition bandwidth; (2) almost constant amplitude response in the stopband and no zero-cross ripple; (3) no degradation of phase linearity in the pass-band; and (4) almost constant phase response in the stopband. Also the hybrid filter designed and realized in this way is always stable and does not generate limit cycles. The time-domain design and realization of digital hybrid filters of this class are introduced and a design example of a low-pass hybrid filter is given.