1. Find the DTFT of the sequence x[n] = 0.5%u[n] . Express the DTFT in magnitude-phase...
Find the DTFT of x[n] = (0.5)n cos(3n)u[n] and plot the |X(Ω)| for -π < Ω <π Please state the properties used
12. Let X(e") be the DTFT of the discrete-time signal z[n] = (0.5)"u[n]. Let gin] be the length-5 sequence whose 5-point DFT, Gk], is made from uniform samples from X(eu): g[n] CH 0 for n<0and n > 4 = x(e,2 ) for k = 0, 1, 2,3,4 = Find g(0] and gl1]. 12. Let X(e") be the DTFT of the discrete-time signal z[n] = (0.5)"u[n]. Let gin] be the length-5 sequence whose 5-point DFT, Gk], is made from uniform samples...
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
Question 4. (20 points) Compute the DTFT of the discrete-time signals, 1) x[n] = n(0.5)"u[n]. (opt) 2) x[n] = n(0.5)”cos(4n)u[n]. (opt) 3) x[n] = (0.5)" cos(4n)u[n]. (7pt)
A sequence x[n] has a zero-phase DTFT X(e^jw) as sketched in Figure P3.3. Sketch the DTFT of the sequence x[n]e^-jπn/5
Problem 4.1 Using the course Matlab dtft function compute the magnitude, and phase for the following discrete-time signal: a) x(n)=n(0.9)" [u(n)-u(n–21)] b) x(n) = cosTo» - 4 ][(n) – u (n – 40)]
Using the course Matlab dtft function compute the magnitude, and phase for the following discrete-time signal а) x(п) -п(09)[«(п)-и (п-21)] F [(a) -и (п- 40)] b) x (п) - =coS n 10 4 u -- Using the course Matlab dtft function compute the magnitude, and phase for the following discrete-time signal а) x(п) -п(09)[«(п)-и (п-21)] F [(a) -и (п- 40)] b) x (п) - =coS n 10 4 u --
d) Given a discrete time sequence: x[n] 218(n 2) - (n 1) +358 (n) -(n 1)218 (n - 2) where δ(n) is the unit-impulse sequence and the general Discrete Time Fourier Transform (DTFT) X(ej") is: i) ii) iii) Do the following without explicitly finding X(ejo) Determine χ[0]-4x[1] Evaluate DTFT X(ejw) at ω-0. Using one of the DTFT properties, state the value the phase value of X(eM) (ie. φ(u)) . Explain how you get the answer
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}
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