Given a 12 point sequence h[n] and a 5 point sequence g[n]. you are to build a system to calculate their linear convolution. You have DFT and IDFT blocks, but no "convolution" block.
(a) Draw a block diagram using these blocks to implement the convolution with the minimum com- putation. Be sure to specify the point size of any DFT or IDFT blocks.
(b) For h[n] = {1,2,3,4,5,6,5,4,3,2,1,0), and g[n] = {1,0,0,0,-1}, what is the output of your system?
(c) For the same sequences, what is DFT8{DFT:{h[n]} DFT:{9[n]}}? (o indicates pointwise multiplication, DFTs is an 8-point DFT, and the process contains no IDFTS.)