EC > GATE 2024 > Discrete Fourier Transform
The relationship between any N-length sequence x[n] and its corresponding N-point discrete Fourier transform X[k] is defined as X[k] = F{x[n]}.
Another sequence y[n] is formed as below: Y[n] = F{F{F{F{x[n]}}}}.
For the sequence x[n] = {1, 2, 1, 3}, the value of Y is
Another sequence y[n] is formed as below: Y[n] = F{F{F{F{x[n]}}}}.
For the sequence x[n] = {1, 2, 1, 3}, the value of Y is
Correct : 7
Similar Questions
For a vector x̄ = [x[0], x[1], …, x[7]], the 8-point discrete Fourier transform (DFT) is denoted by X̄ = DFT(x̄) = [X[0], X[1], …, X[7]], whereX[k] = ∑n=07 x[n]...
A finite duration discrete-time signal x[n] is obtained by sampling the continuous-time signal x(t)=cos(200πt) at sampling instants t=n/400, n=0,1,...,7. The 8-...
Let X[k]=k+1, 0≤k≤7 be 8-point DFT of a sequence x[n], where X[k]=∑n=0N-1x[n]e-j2πnk/N. The value (correct to two decimal places) of W...
Total Unique Visitors
Loading......