精编数字信号处理a(双语课后答案(7-11章
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7-11章习题
来自百度文库
H z ze j H e j( )
左移pi
H e j H e j ( )
-pi
pi
G e j H e j( )
左移pi
H e j H e j ( ) H e j ( )
digital filter.
(b) Draw the canonical realization form of the designed filter.
20 0
-20 -40 -60 -80 -100 -120 -140
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
-1
W
0 4
-1 W41
-1 W40 -1 W40
X(2) X(1) X(3)
DIF
-pi
pi
j 2k / M
H k ( z ) H ( ze
)
偶对称， 奇数长度
系数有误
补充作业题：Using the bilinear transformation and a lowpass
analog Butterworth filter
Ha s
s2
1 2s 1
Design a second-order lowpass digital filter with 3-dB cutoff
frequency 3kHz and operating at a sampling rate of 12kHz.
(a) Determine the system function of the desired lowpass
Plot the butterfly flow-graph for 4 point DIT and DIF FFT algorithm
x(0)
X(0) x(0)
x(2) W40 -1
X(1) x(1)
x(1)
W40
X(2) x(2) -1
x(3) W40
-1 W41
-1
X(3)
x(3)
DIT
X(0)
来自百度文库
H z ze j H e j( )
左移pi
H e j H e j ( )
-pi
pi
G e j H e j( )
左移pi
H e j H e j ( ) H e j ( )
digital filter.
(b) Draw the canonical realization form of the designed filter.
20 0
-20 -40 -60 -80 -100 -120 -140
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
-1
W
0 4
-1 W41
-1 W40 -1 W40
X(2) X(1) X(3)
DIF
-pi
pi
j 2k / M
H k ( z ) H ( ze
)
偶对称， 奇数长度
系数有误
补充作业题：Using the bilinear transformation and a lowpass
analog Butterworth filter
Ha s
s2
1 2s 1
Design a second-order lowpass digital filter with 3-dB cutoff
frequency 3kHz and operating at a sampling rate of 12kHz.
(a) Determine the system function of the desired lowpass
Plot the butterfly flow-graph for 4 point DIT and DIF FFT algorithm
x(0)
X(0) x(0)
x(2) W40 -1
X(1) x(1)
x(1)
W40
X(2) x(2) -1
x(3) W40
-1 W41
-1
X(3)
x(3)
DIT
X(0)