Assuming that a 20-point DFT is computed using the prime factor algorithm,
(a) Determine the input and output mapping tables.
(b) If the input sequence is
x[n] ={1/2, n even
{ 0, n odd
carry out the 20-point DFT of x[n] step-by-step using the prime
factor algorithm.
Assuming that a 20-point DFT is computed using the prime factor algorithm, (a) Determine the input...
ASSIGNMENT 2 (C4,_CO2, PO1) 1. Calculate DFT of the following discrete-time sequence, x(n) using DFT technique x(n) = {72,-56, 159) (C4, CO2,PO1) 2. Calculate the 8-point DFT of the following discrete-time sequence, x(n) using Decimation In Time Fast Fourier transform (DIT-FFT) algorithm. Show the sketch and label all parameters on a signal flow graph/butterfly diagram structure in your answer. (1-3<ns3 x(n) = 0 elsewhere
Using the 4-point DFT/IFFT in matrix form, determine: (a) The DFT of x[n] = [1, 2, 1, 2]. (b) The IDFT of X[k] = [0, 4, 0, 4];
The DFT is a sampled version of the DTFT of a finite-length sequence; i.e., N-1 (P9.25-1) Furthermore, an FFT algorithm is an efficient way to compute the values X Now consider a finite-length sequence xin] whose length is N samples.We want to evaluate X(z) the z-transform of the finite-length sequence, at the following points in the z-plane where ris a positive number. We have available an FFT algorithm (a) Plot the points z in the z-plane for the case N-8...
In this question, the code is need to make dft at the first and then there are many requirmentsIdentification of pole positions in a system consider the system described by the difference equationy(n) = -r2y(n – 2) + x(n)(a) Let r = 0.9 and x(n) = ?(n). Generate the output sequence y(n) for 0 ? n ? 127.Compute the N = 128 point DFT {Y(k)} and {|Y(k)|}.(b) Compute the N = 128 point DFT of the sequence?(n) = (0.92)-ny(n)Where y(n)...
It is suggested that if you have an FFT subroutine for computing a length-N DFT, the inverse DFT of an N-point sequence X[k] can be implemented using this subroutine as follows: 1. Swap the real and imaginary parts of each DFT coefficient X[k]. 2. Apply the FFT routine to this input sequence. 3. Swap the real and imaginary parts of the output sequence. 4. Scale the resulting sequence by 1/N to obtain the sequence x[n], corresponding to the inverse DFT...
(20 pts.) Determine the output sequence of the system with impulse response h[n] 6. u[n] when the input signal is x[n] = 2e-n + sin(nn)- 2, -co <n< 0o. 7. (20 pts.) Determine the response of the system described by the difference equation 1 1 y(n)y(n1)n2)x(n 8 7 for input signal x(n) u(n) under the following initial conditions 1, y(-2) 0.5 y(-1)
(20 pts.) Determine the output sequence of the system with impulse response h[n] 6. u[n] when the input...
Determine the 10 point DFT of the following sequence: x(n) = 1 ; 2 ≤ n ≤ 6 0 ; otherwise.
determine and draw the signal flow graph for the N = 16 point, radix-4 decimation-in-time FFT algorithm. Using this flow graph, determine the DFT of the sequence x(n) = cos (πn/2) , 0 ≤ n ≤ 15
5.34 Let xIn],0sns N-1, be a length-N sequence with an N-point DFT XIk],0sksN-1. (a) sa symmetric sequence satisfying the condition x n] = 지(N 1 n)N] show that X [N/2] 0 for N even. (b) Ifx[n] is a antisymmetric sequence satisfying the condition x[n] = rKN-1-n)N], show that X[0] = 0 (c) If x[n] is a sequence satisfying the condition x[n] =-x[(n + M〉N] with N = 2M, show that X[21] = 0 for I=0, 1, ,M-1
5.34 Let xIn],0sns...
C+ using pointers
2. Determine the following information about each value in a list of positive integers. Is the value a multiple of 7, 11, or 13? a. b. Is the sum of the digits odd or even? (parameter output returns 0 for even, 1 for odd) Is the value a prime number? (parameter output returns 0 nonprime, 1 for prime) c. You should write three functions: 1)input, 2) processing, 3)output 1) Input wil have one output parameter of type...