7/18/2019 Design of FIR Filters by Windowing

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Design of FIR Filters by

Windowing(OPPENHEIM, A. V., SCHAFER, R. W., BUCK, J. R.Discrete-Time Signal Processing. 2nd ed. Upper

Saddle River, NJ: Prentice Hall, 1999. ISBN:0137549202.)

The filter impulse response h[n] is repre

the product of the desired impulse respo

and a finite-duration "window" w[n]

Commonly Used Windows

Bartlett (triangular)

Hanning

Rectangular

Hamming

Kaiser

 where α = M/2 and I0(.) represents the zeroth-order modified Bessel function

Parameters

Near

Blackman

Linear-Phase Lowpass Filter

Desired Frequency Response

Desired Impulse Response

System Impulse Response

Cutoff Frequency

Filter Approximation

δ: Peak approximation error

Δω: Transition region width

ωp:Passband cutoff frequency

ωs:Stopband cutoff frequency

All windows are symmetric about the pointM/2