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Question 3]: Determine the DTFT of the following sequences over 0 SW S1, then plot the...
Matlab Question#1: Determine the discrete-time Fourier transform of x(n) (0.8y'n u(n)+(0.1)'n u(n) Evaluate Xei) at 501 equispaced. points between [0,pi] and plot its magnitude, angle, real, and imaginary parts Matlab Question#2: Determine the discrete-time Fourier transform of Evaluate Xei) at 1001 equispaced points between [0pi] and plot its magnitude, angle, real, and imaginary parts. Matlab Question#3: Compute the FT values at the prescribed frequency points and plot the real and imaginary parts and the magnitude and phase spectrums. The FT...
3. For each of the following discrete-time sequences: (i) Find the Z-transform (ZT), if it exists, and plot the region of convergence (ROC) in the Z-plane (ii) Find the poles and zeros and plot them in the 2-plane (iii) Determine whether the DTFT of the sequence exists (a) x[n] = 8[n – 1] + 28[n – 3] (b) [n] = (0.9e-j*)" u[n + 2] – 2-ul-n - 1] (c) x[n] = 2-" un + 1]
Problem 3.) Find and plot X(w) and X(w), the magnitude and DTFT for the signal x[n] given by a) b) x[n]= cos(-n) x[n]-(-1)" (a)"u[n] for 0< a〈 1
1. Determine the DTFT of each of the following sequences. a) X[n]=δ[n-1]+6[n-6] c) xt[n]= (-3)" (u[n-1]-u[n-10]) d) x.[n]=0.5a cos(nn/2)u[n] e) 2n-2 u[-n+41 Xcn
Q.3) 120 Marks] [8 Marks] Determine the DTFT of the following DT signals i) x[n] = (0.5)" [u[n]-n(n-3)) a) ii) ? [n] = n (0.5)" u[n-2] b) [8 Marks] Consider the following CTFT pair: jw x(t) ?? (-v^2 + 5 i) e -/00t x(t) 6) using the CTFT properties determine the Fourier transform (CTFT) of: i x(3t-6) e) [4 Marks] Prove the Parseval's relationship for a CT signal x e
Lab #2 Discrete-time Fourier Transform (DTFT) OBJECTIVES: • Explore the DTFT, its meanings and concepts. • Get acquainted with Matlab/Octave 1) Start MATLAB and change the “Current Directory” in the top of the window (or type) >> cd '' (example: >> cd 'C:\NIU\lab2') Alternatively, if you don't want to use MATLAB, you can open a web-browser and go to “octave-online.net”. 2) Download and execute LAB2forStudent_A.M with >> lab2forStudent_A and observe that it produces a Discrete-Time (DT) signal xVec. 3) TO...
3. (Oppenheim Willsky) Determine the z-transform for each of the following sequences. Sketch the pole-zero plot and indicate the region of convergence. Indicate whether or not the discrete-time Fourier transform of the sequence exists. (a) 8[n +5] (b) (-1)"u[n] (c) (-3)”u[-n – 2] (d) 27u[n] +(4)”u[n – 1]
3. Let xn] -1, 0,1,2, 3,4,4,4,4,4) (a) Determine the sequences x[--n], x{n 3], and xn 21 by hand (b) Determine the sequences in (a) using the fold and shift functions. (c) Plot the sequences x[n],x[-n], x{n 3], and x[n +2] using the function stem.
Question 3 (25pts]: Determine the Fourier transforms of the following signals and plot their coresponding magnitude spectra. a) Spts] x(t) = cos(3t) u(t). b) [8pts] x(t) = u(t + 2) – u(t – 2). c) 19pts] x(f) = e(1+ j20#)u(t).
Please provide MATLAB code and plot, about system response. Will thumbs up. Thanks. Question 1: MATLAB contains a built-in function called conv which performs the convolution of two vectors: >> help conv conv Convolution and polynomial multiplication. C - conv(A, B) convolves vectors A and B. The resulting vector is length MAX ([LENGTH (A)+LENGTH (B)-1, LENGTH(A),LENGTH (B) 1) If A and B are vectors of polynomial coefficients, convolving them is equivalent to multiplying the two polynomials. Compute the system response...