Digital Signal Processing Reference
In-Depth Information
Table 8.11 Designed Filter Banks
Filter Banks
Coefficients for the Numerator
Coefficients for the Denominator
Bandpass filter 0
0.0031954934, 0,
0.0031954934
1,
1.9934066716 , 0.9936090132
Bandpass filter 1
0.0063708102, 0,
0.0063708102
1,
1.9864516324, 0.9872583796
Bandpass filter 2
0.0126623878, 0,
0.0126623878
1,
1.9714693192, 0.9746752244
Bandpass filter 3
0.0310900413, 0,
0.0310900413
1,
1.9181849043, 0.9378199174
Bandpass filter 4
0.0746111954, 0,
0.0746111954
1,
1.7346085867, 0.8507776092
Bandpass filter 5
0.1663862883, 0,
0.1663862884
1,
1.0942477187, 0.6672274233
Bandpass filter 6
0.3354404899, 0,
0.3354404899
1, 0.7131366534, 0.3291190202
To complete the design and simulation, second-order IIR bandpass Butterworth filters are chosen
for the audio equalizer; the coefficients are determined using the BLT method, and are given in
Table 8.11 .
The magnitude response for each filter bank is plotted in Figure 8.25 for design verification. As
shown in Figure 8.25 , after careful examination, the magnitude response of each filter band meets the
design specification. We will perform simulation next.
10 0
10 -1
10 -2
10 -3
10 -4
10 -5
10 -6
10 1
10 2
10 3
10 4
10 5
Frequency (Hz)
FIGURE 8.25
Magnitude frequency responses for the audio equalizer.
 
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