Designing two-channel nonuniform-division FIR filter banks with variable notches

In this paper, we propose a design method for a variable two-channel nonuniform-division FIR filter bank. The proposed filter bank can change the notch frequency in the stopband for each filter to reduce these noise. For changing notch frequencies, filter coefficients are approximated by polynomials using variable parameters in the proposed filter bank. In addition, the proposed filter bank satisfies approximately perfect reconstruction condition, and the filter bank exhibits quasi-equiripple characteristics in the passband and stopband. Linear programming is used to design the proposed filter bank in the frequency domain. The usefulness of the proposed filter bank is demonstrated through an example.