Let x 2 n be a real valued five point sequence whose seven point DFT is denoted by X 2 k If Real X 2 k is the seven point DFT of g n , show that g 0 x 2 0 , and determine the relationship between g 1 and x 2 1 Justify your answer

Question: Let x 2 [n] be a real-valued five-point sequence whose seven-point DFT is denoted by X 2 [k]. If Real{X 2 [k]} is the seven-point

Let x₂[n] be a real-valued five-point sequence whose seven-point DFT is denoted by X₂[k]. If Real{X₂[k]} is the seven-point DFT of g[n], show that g[0] = x₂[0], and determine the relationship between g[1] and x₂[1]. Justify your answer.

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