Linear phase FIR filter for narrow-band filtering

This paper proposes a novel approach to the design of linear phase, sharp transition, lowpass FIR filter. The filter has narrow transition band, low passband ripple and good stopband attenuation with reduced arithmetic complexity. The frequency response model of the filter is formulated using trigonometric functions of frequency to reduce the ripples due to Gibbpsilas phenomenon and to evaluate the impulse response coefficients in closed form. FIR highpass and bandpass filters of any passband width can also be designed using the proposed approach.