solve ASAP Question 6. Determine the discrete-time Fourier series for the x[n] shown in the following...
Find the discrete-time Fourier Series for the following periodic signals: 3. 4 cos 2.4n n + 2 sin 3.2n n x[n] a. xn 0 12 15 6 b. xn 2N No 2N C.
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
5. (20points) What is the discrete time Fourier series of 2T(n-2) x = 10 sin with Mo = 12 (time period)
5. (20points) What is the discrete time Fourier series of 2T(n-2) x = 10 sin with Mo = 12 (time period)
Determine the Discrete Time Fourier Transform (DTFT) of the following discrete-time signal. x[n]=n0.1" u(n) 1-0 1e112 0970.1e* 5) -0.12- e in 1-0.1e) C), ei (1+0.2e-in d) =-*+0.2e-10 e / +0.2012
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.
/lay Figure 9.1: Discrete-time sinusoid sin 0.11 n and its Fourier spectra. x[n] = sin Olan= (010.17n – e-O.lan) (9.15) From the spectra in Fig. 9.1 write the Fourier series corresponding to the interval - 10 2r> -30 (or-T2N>-37). Show that this Fourier is equivalent to that in Eq. (9.15).
Please do not use the z transform to solve them.
3) Determine the inverse discrete-time Fourier transform of 3j 0< f s 0.5
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...
LTI Systems and Discrete-Time Fourier Series-1 Problem Statement Consider a causal discrete-time LTI system whose input r[n] and output yinl are related by the following equation: Find the Fourier series representation of the output y[n] for (b) ncos()
8. Calculate all of the Discrete-Time Fourier Series coefficients, a, for the signal below. -8 6 4 2 0 2