Frequency Sampling Filters - Hilbert Transformers and Resonators

Frequency sampling filters are filters whose frequency responses are synthesized as the sum of elemental frequency responses of the form (Fig. l a ) 1 + where V k ( f ) is the transfer function of the kth. response; A k is a constant multiplier, the value of the amplitude response at frequency / is frequency in hertz; fk is the kth sampling frequency = kf0; 501 sin tr(/ + fk)/f0 Ak- i2rfr (1)