Calculating N-point DFT of a signal based on another signal's DFT

1. How do you calculate N-point DFT?
2. What is n-point in DFT?
3. How do you find the 8 point DFT of a sequence?

How do you calculate N-point DFT?

DFT[x1(n) N x2(n)] = X1(k)X2(k) Where N indicates N-point circular convolution. Where N Indicates N-point circular convolution.

What is n-point in DFT?

Definition. An N-point DFT is expressed as the multiplication , where is the original input signal, is the N-by-N square DFT matrix, and. is the DFT of the signal.

How do you find the 8 point DFT of a sequence?

x[7]] the 8-point discrete Fourier transform (DFT) is denoted by X̅ = DFT (x̅) = X[0], X[1], ...., X[7]], where X [ k ] = ∑ n = 0 7 x [ n ] e x p ( − j 2 π 8 n k ) Here j = √-1, if x̅ = [1, 0, 0, 0, 2, 0, 0, 0] and y̅ = (DFT (x̅)), then the value of y[0] is ________ (rounded off to one decimal place).