1
ECE 408
HOMEWORK #5 (CH. 14)
1.
Design a digital FIR lowpass filter with length 15 (N = 15) and cutoff frequency 0.3
(or
θ
c
= 0.3
×
2
π
= 0.6
π
) using Hamming window.
(a)
Find and plot the desired shifted impulse response.
(b)
Find and plot the weighting function.
(c)
Find and plot the impulse response.
(d)
Plot the magnitude response H(
θ
) for
π
≤
θ
≤
π
.
(e)
Plot the phase response
∠
H(
θ
) for
π
≤
θ
≤
π
.
2.
Design a digital FIR highpass filter with length 15 (N = 15) and cutoff frequency 0.2
(or
θ
c
= 0.2
×
2
π
= 0.4
π
) using Hanning window.
(a)
Find and plot the desired shifted impulse response.
(b)
Find and plot the weighting function.
(c)
Find and plot the impulse response.
(d)
Plot the magnitude response H(
θ
) for
π
≤
θ
≤
π
.
(e)
Plot the phase response
∠
H(
θ
) for
π
≤
θ
≤
π
.
3.
Design a digital FIR bandpass filter with length 15 (N = 15), low cutoff frequency 0.2
(or
θ
l
= 0.2
×
2
π
= 0.4
π
), and high cutoff frequency 0.3 (or
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 Summer '10
 JamesKang
 Digital Signal Processing, Frequency, Signal Processing, AP, Impulse response, Highpass filter, Lowpass filter, sampling rate

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