Find the DTFT X(Ω)of the following signals (The bold denote the index n = 0).Also,sketch the magnitude and the phase spectrum (you may use Matlab or other plotting software):
1.x[n]= {1,2,3,2,1}
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Find the DTFT X(Ω)of the following signals (The bold denote the index n = 0).Also,sketch the...
1. Consider the following sequence (The bold large size element is at n = 0) x(n) = { ----- 0,0,01, 1, 1, 1, 1, 0, 0, 0------}. It has the period of N=8. a. Find (in closed form) and sketch the complex exponential Fourier series coefficients (Magnitude and Phase). Verify using Matlab. Include code and graphics. b. Find the energy in this sequence first using the sequence in the time domain, and then using the DTFS coefficients. Verify using Matlab....
Find the DTFT of x[n] = δ[n-2] and plot the |X(Ω)| for -π < Ω <π. If you use a property please state it.
please solve (a) and (b) 10.2-1 For the following signals, find the DTFT directly, using the definition in Eq. (10.31). (a) f(k] = 6{k] (b) 8[k – ko] (c) a*u[k – 1] lal<1 (d) f[k] = a*u[k + 1) |a| < 1. In each case, sketch the signal and its amplitude spectrum. Sketch phase spectra for parts (a) and (b) only. %3D
1. Find the DTFT of the sequence x[n] = 0.5%u[n] . Express the DTFT in magnitude-phase form.
Problem 3.12 Find the DTFT of the following time-domain signals: (b) x[n] = alu. lal < 1 11:32 AM Wed 25 Mar '< ! Q 0 O Untitled Notebook (12) 5 * Untitled Notebook (12) W X hw3A_s2020.pdf Untitled Problem 3.14 Find the FT of the following signals: continuous la aperiodic (b) X(t) = e te n(jw) t 120
1. Use the MATLAB command freqz to calculate the DTFT of System 1, to find its frequency response 0.25r[n] + 0.25r|n -2]. H(). For this exercise, System 1 has a different difference equation yn] Find H1 (w) for- aK π, with frequency steps of Δα-π/100. 2. Plot both the magnitude |H1(2)| and the phase LH1(w) vs w, for-π < ώ < π. Use abs and angle commands to obtain magnitude and phase. Label and title both plots and include in...
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...
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
4. Find the Nyquist rate for the following signals. For each case sketch the magnitude spectrum of the sampled signal if the sampling rate is 25% higher than the Nyquist rate. a.) ft)sinc E 2T 10 b.) h)=sinc 2T For all the following, use ft) given in part a.) c.) glt)= f(l-7) d.) c(t)- f)cos() 1 e.) x(t)= fit)+ _ sinc (t 4. Find the Nyquist rate for the following signals. For each case sketch the magnitude spectrum of the...
using MATLAB Q5. Let x(n) = T(n) be the next function: T(n) = [0.5 +0.5cos(in/N)] Where N = 50 and n = [0 : M]. Using the properties of the DTFT, determine and plot the DTFT (magnitude and phase normalized in w) of the following: 1. X(n) = T(-n). 2. X(n) = T(n) enten