Frequency interpolation filter bank

A technique is presented for designing a bank of filters with the interpolating property: given N arbitrary frequencies {f _m}, the mth filter has unity response at the frequency f_m and zero response at the other frequencies. The filter bank realization may be viewed either as a statistic digital filter or as an adaptive filter wherein N oscillators are summed with time-varying complex weights; the modulated weights represent the filter bank outputs. These filter banks are useful as front-end processors for telephone tone receivers, acoustic signal processing, and general spectrum analysis