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What should be the number of output samples after circularconvolution for the following two inputsx(n)={3,5,4,2,1,6,5,10,11}h(n)={1,1,1,2,2}(a) 2(b)5(c) 9(d)13

Question

What should be the number of output samples after circularconvolution for the following two inputsx(n)={3,5,4,2,1,6,5,10,11}h(n)={1,1,1,2,2}(a) 2(b)5(c) 9(d)13

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Solution

The number of output samples after circular convolution of two sequences is equal to the length of the longer sequence. In this case, the length of x(n) is 9 and the length of h(n) is 5. Therefore, the number of output samples after circular convolution will be 9. So, the correct answer is (c) 9.

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