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Determine the 8 point dft of the sequence

Determine the 8 point dft of the sequence
  1. How do you find the 8 point DFT of a sequence?
  2. How do you find the DFT of a sequence in Matlab?
  3. How do you calculate N-point DFT?

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).

How do you find the DFT of a sequence in Matlab?

fft , with a single input argument, x , computes the DFT of the input vector or matrix. If x is a vector, fft computes the DFT of the vector; if x is a rectangular array, fft computes the DFT of each array column. Compute the DFT of the signal and the magnitude and phase of the transformed sequence.

How do you calculate N-point DFT?

The N-point DFT of a sequence x[n] ; 0 ≤ n ≤ N -1 is given by X [ k ] = 1 N ∑ n = 0 N − 1 ⁡ x ( n ) e − j 2 π n k N ; 0 ≤ k ≤ N − 1 .

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