Frequency Shifting: Determine the 100-point DFT of the signal n] p[n cos(0.67 0,,2,.,99 where p[n] is the 100-point IDFT of Frequency Shifting: Determine the 100-point DFT of the signal n] p[n c...
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];
2: Consider the signal rn - rectv(n). Find DFT for N 12. Plot the DFT (magnitude spectrum and phase spectrum) using Matlab. Now, append the signal with zero padding. Recalculate your DFT and plot the DFT. Use your code to calculate IDFT in both cases.
Prob.1.(6pts) Compute the 4-point i) (3pts) DFT for x(n)-l-5 4-7 -2] ii) (3pts) IDFT for X(k)-1-10 2-j6 -14 2+j6] Prob. 2. (5pts) i) (3pts)Derive the 4-point DIT (Decimation-InTime) FFT and draw its signal-flow graph representation. ii) (2pts) Using the signal-flow graph representations of the 4-point DIF FFT, calculate the 4-point DFT of X(k) for x(n)-1-5 4-7-2].
Problem #5 The 4-point DFT of a certain 4-point signal, x[n], is X[k] = DFT(x[n])-[ 0 Find the signal xIn] and write in terms of delayed unit samples. Answer: X[n] = 0 12 0]
Digital Signal Processing DFT Consider a speech signal x() that has the following frequency spectrum: xga) 1 + cos( -/100 a) Select appropriate values of N and T that will help us carry out DFT-based spectral analysis of this signal x401@) 800 such that the continuous-time frequencies are sampled no farther than 10 Hz apart. b) Ignore the issue of spectral leakage; under this assumption, provide a closed-form expression for the DFT of the signal using the values selected in...
\ Can anyone explain a and b how they got this answer. what formula they use P-8.2 For each ofthe following 10-point DF「s, determine a formula the l0-point IDFT Use MATLAB to check your work numerically. 1に0 (a) Xa[k] = 0 k = 1, 2, . . . ,9 (b) Xolk-1 for k = 0, 1,2, ,9 (c)Xc[k] =10 k = 0,1,2, 4, 5, 6, 8, 9 (d) Xalk]cos(2mk/5) for k 0,1,2,...,9 k=3, 7 I (a) Substituting into the inverse...
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
Consider the following 256-point DFT X[k]=648[k – 21] +168[k – 55] +328[k -95]+328[k – 161] +160[k – 201]+648[k – 235] for 0 <k 255. Determine the 256-point inverse DFT (IDFT) x[n] of X[k]. (Note: x[n] can be expressed as a real-valued signal/sequence.)
Determine the 10 point DFT of the following sequence: x(n) = 1 ; 2 ≤ n ≤ 6 0 ; otherwise.
5. A message signal m(t) = cos(2000πt)+2 cos(4000πt) modulates the carrier c(t) = 100 cos(2πfct), where fc = 1 MHz to produce the DSB signal m(t)c(t). ( 1. Determine the expression for the upper-sideband (USB) signal. 2. Determine and sketch the spectrum of the USB signal.