Problem 2: DTFT [25 points] Consider the following signal: an] - (0.4)1-uln-1+0.46n -2] a) Find the...
Consider a sequence xln] 2-"uln], with its DTFT given by xlet y[n] be a finite-duration signal of length 10. Suppose the 10-point DFT, Y[k], of y[n] is given by 10 equally-spaced samples of X(e). Determine y[n]. Hint: N-point DFT of a sequence w[n] = 2-n (u[n]-u[n-N]) is W [k] = 1-22 1wk
Consider a sequence xln] 2-"uln], with its DTFT given by xlet y[n] be a finite-duration signal of length 10. Suppose the 10-point DFT, Y[k], of y[n] is given...
ML 25 points) DTFT of a Signal Compute the discrete-time Fourier transform (DTFT) of the signal x[n] = {x[0],x[1], x[2], x[3]} = {1,0,-1,0} [n] = DTFT"
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
Consider the signal f[k] illustrated below 3 2 1 (a) Using the definition, provide the DTFT of flk]. (b) Express f [kas a rect function. Use the DTFT pair to solve for the DTFT (it should look a lot different from the previous solution) c) Verify that both of your solutions are, in actuality, the same by evaluating them at 0, T/2, T
Consider the signal f[k] illustrated below 3 2 1 (a) Using the definition, provide the DTFT of...
Please help with the following continuous and discreet problem!
Thanks!
6. Using the definition compute the inverse DTFT for the following signal (2m + 1)π NE
6. Using the definition compute the inverse DTFT for the following signal (2m + 1)π NE
Problem 1: Find Xo),the DTFT of sinlFndi' Z transfomn and DTFT. Plot its amplitude frequency spectrum for-π<ω<π. What is the period of X(o)?
Objective Conduct DTFT, DTFS on a periodic discrete signal. Task: Consider the system with impulse response Tth sin 8 h(n) S(n) Tn (1) Find the Fourier-series representation for the output y(n) when the input x(n) is the periodic extension of the sequence 3/2, -1,0, -3/2, 1,0 Plot the x(n), h(n), y(n) and Fourier coefficient bk using Matlab or handwriting (Example 7.2.6 irse material) in cour (2) Find the output y(n) of the system with the input 1 Tn Tn x(п)...
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
Problem 2: For the signal g(t) t, a) (25 points) Find the exponential Fourier series to represent g(t) over the interval (-π, π). Sketch the spectra (amplitude and phase of Fourier series coefficients). b) (25 points) Find the average power of g(t) within interval (- ,r). Using this result and given that Σ00.-6, verify the Parseval's theorem
response system 7. Consider the following signal: *(n) = sin(n + 3). (a) Is this signal periodic? If so what is its period? (b) Find its DTFS. If its DTFS is periodic, what is the period? Plot the spectrum. (C) Find its DTFT. If its DTFT is periodic, what is the period? Plot the spectrum. d) Comment on the spectrums of (b) and (c).