Design and Analysis of IIR Peak & Notch Filter

The design and analysis of infinite impulse response (IIR) peak and notch filter has been performed, which is employed various communication systems to eliminate unwanted narrow band interference. In communication system, radio frequency band for FM lies between 88MHZ - 108MHZ. A method for design of digital peak and notch filter of center frequency 90MHZ has been presented. Two parametric values like pass band ripple & stop band attenuation have been calculated by using mathematical modelling. Various transposed second order system (SOS) algorithm such as direct form I and II elliptic design method have been applied. By tuning quality (Q)-factor, peak filter (order 4) and notch filter (order 2) for range of Q between 2 -18 and 2 �100000 respectively have been generated with the help of different RF & AF oscillator. Filter approximation and order of the notch and peak filter determines overall performance in terms of multiplier, adder, no. of states, multi per input sample (MPIS) and add per input Sample (APIS) narrow band interference. From the realization perspective, the filter consumes more power and becomes more complex with increase in filter order. It is easy to implement in communication at transmitter or receiver point and has good communication system response. The observed settling time & fixed bandwidth gain confirms the performance of designed filter.