Find the discrete-time Fourier series (DTFS) and sketch their spectra IDI and LD for 0 No-1...
1. Find the discrete-time Fourier series (DTFS) and sketch their spectra D. and ZD, for 05rs N. -1 for the following periodic signal: x[n] = 4 cos 2.41en+ 2 sin 3.2an 2. If x[n] = [0, 1, -2, 3, 4, 5, -6], determine No and 120 for this sequence.
3. Find the discrete-time Fourier series (DTFS) and the corresponding spectra D, and ZD, for the following signal: x[n] q -o- Q a" for 20 Ri Q -Q-Q mi - q Q
Prob. 2 Discrete-Time Fourier Series (DTFs) (a) A periodic signal, rin] is shown below. Use the analysis equation to determine the discrete-time Fourier Series (DTFS) coefficients, a. Express the a in terms of cosines [72] -2 N= -3 (b) Sketch the spectrum, as vs. k for -5Sk s5. Please note each value. ak 2 5 Prob. 2 (cont.) -Discrete-Time Fourier Series (CTFS) (c) A periodic signal rafnl is given below. a2In] 2 1 E -3 what is the fundamental period...
Solution required in MATLAB 1. Convolution and Discrete-Time Fourier Series (DTFS) (a) Generate a periodic signal r2[n] with the fundamental period N ralla-sin(2nn/ İ0) + sin(2m, 2 ) + sin(2nn/30) for 0 < n < N-1 Find the fundamental frequency Ω0-2, N, with the fundamental period N. (b) Generate a periodic signal h2[n] with the fundamental period N haln] = (1/2)", for 0 < n < N-1 (e) Using the com ftuction n Matab, compute the compvolution (d) Using the...
Consider the discrete-time periodic signal n- 2 (a) Determine the Discrete-Time Fourier Series (DTFS) coefficients ak of X[n]. (b) Suppose that x[n] is the input to a discrete-time LTI system with impulse response hnuln - ]. Determine the Fourier series coefficients of the output yn. Hint: Recall that ejIn s an eigenfunction of an LTI system and that the response of the system to it is H(Q)ejfhn, where H(Q)-? h[n]e-jin
Find the DTFS and sketch their spectra, Dnl and LDn for 0sk following periodic signal: S ko 1 for the x [k] = 4 cos 2Amk + 2 sin 32nk Answer: D1-D4-2 D3--j D2-j
Find the discrete time Fourier series of the following periodic signal x[n] = 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3... Verify using Parseval's Theorem
I need help with the following DTFS problems for parts A and B. Thank you Prob. 2_Discrete-Time Fourier Series (DTFs) (a) A periodic signal, z[n is shown below. Use the analysis equation to determine the discrete-time Fourier Series (DTFS) coefficients, ak. Please express the ak in terms of cosines. 9-7 -5-335 7 -0.5 Clk (b) Sketch the magnitude spectrum, la vs. k for 100 k 105. Please note each value laJ 100 101 103 104
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)...
For the periodic signal below, find the compact trigonometric fourier series and sketch the amplitude and phase spectra. If either the sine or cosine terms are absent in the Fourier series, explain why. Please provide a detailed solution. Thanks! For the periodi the amplitude and phase spectra. If either the sine or cosine terms a series, explain why 6.1-1. c signal shown below, find the compact trigonometric Fourier series and sketch re absent in the Fourier b) -20