10 نقاط Find the output response of the system in figure below? Y(n) /p i/p x(n)...
Problem 3. Discovering the System from the Output. 25 points. x[n] yln] Figure 2: A cascade of two LTI systems. yIn] 2 2 -6-5-4-3 4 5 6 7 Figure 3: The system output y[n] (a) 20 points. Consider the system in Figure 2 which is a cascade of two LTI systems, with hn n]26[n 1]. For input signal [n]-6[n] 1+n -1], the output y[n] appears in Figure 3. Determine the impulse response h2[n].
H1(2) y[n] Xn] 1 H3(2) H2(2) Figure 2: Consider the system shown in Figure 2. Suppose that Hi(z) = -1,-1 and H2(z) = 1-1,-1. Determine the impulse response h3[n] ++ H3(z) such that when x[n] = 8[n – 1], the output is y[n] = $[n – 1] +38[n – 3]. Using MATLAB, generate the signal x[n] and propagate it through the system to verify that the output y[n] is as desired.
Find the impulse response of the system shown in Figure 1. Assume that h(n) = h (n) = /1n un) h3(n) = u(n) 11n haln) = (3) "un) mon) - mm hi(n) h2(n) x(n) y(n) ☺ - Helm von h₃ (n) han) Figure 1. The system.
(2) Consider the causal discrete-time LTI system with an input r (n) and an output y(n) as shown in Figure 1, where K 6 (constant), system #1 is described by its impulse response: h(n) = -36(n) + 0.48(n- 1)+8.26(n-2), and system # 2 has the difference equation given by: y(n)+0.1y(n-1)+0.3y(n-2)- 2a(n). (a) Determine the corresponding difference equation of the system #1. Hence, write its fre- quency response. (b) Find the frequency response of system #2. 1 system #1 system #2...
Problem 6 (25 points) For any discrete signal x[n], input to the system given in Figure 6, it is known that the output y[n] is equal to x[n]. (-1)" (-1)" H (1) x[n] 0 Heº) -(n)=x[n] Hey[n]=x[n] H () Figure 6: System of Problem 6. The high-pass filters Hi(ej) and H2(ej) are given by 3 Hlejl-{ 2, s1, Hz(239) = { 0, 112 , H2(en) = { 0, 0319 Š T' 121 > 207 0 < 19213 21 Find the...
5 نقاط Find the D. E. of the block diagram in ?figure below Xin] y[n] 71 21 2- z! 21 21 إجابتك
Problem 3. See the cascaded LTI system given in Fig. 3. w in Figure 3: Cascaded LTI system Let the z-transform of the impulse response of the first block be (z - a)(z -b)(z - c) H1(2) a) Find the impulse response of the first block, hi[n in terms of a, b, c, d. Is this an FIR and IIR system? Explain your reasoning b) Find a, b, c, so that the first block nullifies the input signal c) Let...
Name: 10. [8 points] Consider a discrete-time LTI system with input x[n] and out- put y[n]. When the input signal x[n] = (6)" is applied to the system, the output signal is y[n] = 0 for all n When the input signal xn] (3)" u[n] is applied to the system, the output signal is y[n] = A 8[n] + 2 (5)" u[n] for all n, where A is a constant number a) Find A. b) Find the impulse response of...
(i) An FIR system has the impulse response hln] = 3?[n 2 . When the signal a [n] is passed (ii) Consider a signal In] whose DTFT is given by X(es*). What is the DTFT of ii) Suppose hi [n] is the impulse response of an ideal lowpass filter. Which of the options through the system, what is the output, written as a function of rn]? y[n] = x[n-3), written as a function of X(eM)? below is the impulse response...
Q2. The block diagram of an LTI system is given below. x[n] - h[n] = a[n+ 2] - a[n - 2] h2[n] = 8[n - 1] y[n] a) Represent the overall impulse response h[n] in terms of hi[n] and h2[n]. b) If the input is x[n] = 8[n], sketch y[n]. c) If the input is x[n] = u(n + 1] - u[n -2], sketch y[n].