Digital Signal Processing by João Marques de Carvalho

Author:João Marques de Carvalho
Language: eng
Format: epub
Publisher: Momentum Press

Figure 4.5. Example 4.2: (a) Signal x(n) with L = 4, (b) signal h(n) with M = 4, and (c) result of circular convolution between x(n) and h(n).

Example 4.3 Consider the signal in Example 4.2 and N = 7 > –L + M – 1, then we have y(n) presented in Figure 4.6.

Figure 4.6. Linear convolution obtained with N = M + L – 1 in the circular convolution for Example 4.3.

4.4 OVERLAP-ADD METHOD

Convolution is normally applied in filtering, where the input signal x(n) has length much greater than h(n) (the system impulse response). To process such convolution, the input signal is partitioned in segments of length M0, obtaining

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