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Using the following two finite-length sequences: x = {0, 1, 7, 6, 1, 2, 0, 7, 1, 0, 3, 4}; h = {1, 1, -1}


Using the following two finite-length sequences: x = {0, 1, 7, 6, 1, 2, 0, 7, 1, 0, 3, 4}; h = {1, 1, -1}; 


a Obtain the linear convolution of the two sequences. 

b Obtain the circular convolution of the two sequences. 

c Obtain the linear convolution of the two sequences using the overlap-and-add method with a partition size of 4. 

d Obtain a factor of two interpolation of the sequence x with filter h using: (i) upsampling followed by filtering, (ii) the polyphase method.

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