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336 Chapter 7 FIR FILTER DESIGN<br />

Ideal Impulse Response<br />

Kaiser Window<br />

1<br />

0.2<br />

0.8<br />

hd(n)<br />

0.1<br />

0<br />

w(n)<br />

0.6<br />

0.4<br />

0.2<br />

−0.1<br />

0 20 40 60<br />

n<br />

Actual Impulse Response<br />

0<br />

0 20 40 60<br />

n<br />

Magnitude Response in dB<br />

0<br />

0.2<br />

h(n)<br />

0.1<br />

Decibels<br />

50<br />

0<br />

−0.1<br />

0 20 40 60<br />

n<br />

0 0.2 0.3 1<br />

frequency in π units<br />

FIGURE 7.17 Lowpass filter plots for Example 7.9<br />

□ EXAMPLE 7.10 Let us design the following digital bandpass filter.<br />

lower stopband edge: ω 1s =0.2π, A s =60dB<br />

lower passband edge: ω 1p =0.35π, R p =1dB<br />

upper passband edge: ω 2p =0.65π R p =1dB<br />

upper stopband edge: ω 2s =0.8π A s =60dB<br />

These quantities are shown in Figure 7.18.<br />

1 0 0 0.35 0.35 0.65 0.8 1 ω<br />

π<br />

Decibels<br />

60<br />

FIGURE 7.18 Bandpass filter specifications in Example 7.10<br />

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