Convolve the sequences shown in the following figure using circular convolution.

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written 7.0 years ago by

teamques10 ★ 70k

• modified 7.0 years ago

enter image description here Subject : Signals & Systems

Topic : Continuous Time Fourier Transform (CTFT) and Discrete Time Fourier Transform (DTFT).

Difficulty: Medium

signals and systems

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written 7.0 years ago by

teamques10 ★ 70k

g[n] = {1 2 0 1}

h[n] = {2 2 1 1}

According to the definition of circular convolution, $\sum_{n=0}^{N-1}[x_1 (n)].x_2 ((m-n))_N ----------- 1 $

Here given sequences are g(n) and h(n). The length of sequence is 4 that means N = 4. Thus equation 1 becomes

$\sum_{n=0}^{3} [g(n)]. h((m-n))_4 …

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