O'Reilly logo

Signals and Systems by Smarajit Ghosh

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

12.14 DESIGN OF FIR FILTERS

FIR filters can be designed by Fourier series method or by Numerical analysis methods. To reduce Gibb’s oscillations we use window functions. We will concentrate only on the Fourier series method.

12.14.1 Fourier Series Method for Design of FIR Filters

The frequency response of any FIR filter is a periodic function of ω having sampling frequency ωs which can be expressed by Fourier series. The frequency response of FIR filter is nothing but the DTFT of impulse response h(nTs) and we can write

image

Let us put image in Eq. (12.182) ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required