PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB

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DTFT, DFT, ZT, and FFT 547


0 5 10
time index n

15 20 25

0 5 10
time index n

15 20 25

Amplitude
− 1

0

1

2

Amplitude
− 1

0

1

2
[IDFT of the products of the DFTs] versus n

[Direct convolution in the time domain] versus n

FIGURE 5.61
Plots of g(n) = IDFT of the products of DFT[h(n)] with DFT[f (n)], and time convolution of h(n) with f(n) of Exam-
ple 5.14.

0 5 10
[Impulse response h(n)] versus n

[Input sequence f(n)] versus n

15

(^051015)
time index n
Amplitude
−0.5
0
0.5
1
Amplitude
− 1
−0.5
0
0.5
1
FIGURE 5.60
Plots of f(n) and h(n) of Example 5.14.

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