7.24 Consider the finite-duration signal

x(n) = {1,2,3,1}

(a) Compute its four point DFT by solving explicitly the 4-by-4 system of linear equations defined by the inverse DFT formula.

(b) Check the answer in part (a) by computing the four-point DFT, using its defination.

x(n) = {1,2,3,1}

(a) Compute its four point DFT by solving explicitly the 4-by-4 system of linear equations defined by the inverse DFT formula.

(b) Check the answer in part (a) by computing the four-point DFT, using its defination.