Please assist with the problem attached.
Please assist with the problem attached. C onsider Causol &sLaiole n-l ) 2-7 2. t impulse...
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...
Problem 1: Let y()- r(t+2)-r(t+1)+r(t)-r(t-1)-u(t-1)-r(t-2)+r(t-3), where r(t) is the ramp function. a) plot y(t) b) plot y'() c) Plot y(2t-3) d) calculate the energy of y(t) note: r(t) = t for t 0 and 0 for t < 0 Problem 2: Let x(t)s u(t)-u(t-2) and y(t) = t[u(t)-u(t-1)] a) b) plot x(t) and y(t) evaluate graphically and plot z(t) = x(t) * y(t) Problem 3: An LTI system has the impulse response h(t) = 5e-tu(t)-16e-2tu(t) + 13e-3t u(t) The input...
l(20 points) (1) Linear convolution: In a linca response h(n) impulse response h(n) f 2 -1). Use the direct linear convolution method to find the output y(n). r system, let input x(n) (n 2), 0s n s 1, and impulse
(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...
Problem 1: Let the impulse response of an LTI system be given by 0 t< h(t) = 〉 1 0 < t < 1 0 t>1 Find the output y(t) of this system if the input is given by a) x(t) = 1 + cos(2nt) b) x(t)-cos(Tt) c) x(t) sin (t )l d) x(t) = 1 0 < t < 10 0 t 10 e) x(t) = δ(t-2)-5(t-4) f) a(t)-etu(t) Problem 2: For the same LTI system in Problem 1,...
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...
Problem 2 In each step to follow the signals h(t) r (t) and y(t) denote respectively the impulse response. input, and output of a continuous-time LTI system. Accordingly, H(), X (w) and Y (w) denote their Fourier transforms. Hint. Carefully consider for each step whether to work in the time-domain or frequency domain c) Provide a clearly labeled sketch of y(t) for a given x(t)-: cos(mt) δ(t-n) and H(w)-sine(w/2)e-jw Answer: y(t) Σ (-1)"rect(t-1-n)
Problem 2 In each step to follow...
Problem 2: Find the impulse response h(n) of a causal LTI system if the input x(n) and the output y(n) are given as follows 72 42)un-1) y(n)-G)na(n) xnun)
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. (30 pts) A signal 7: n İs applied lo an ll.l system I (hi [n) outputting y1,,,and il is also applied to an LTI system 2 (h2n) outputng Then te sum of nnl and s applied to an LTI systcm 3 (hsln) oulputting n The relationships are given in the following cquations. Assume thaforn < 0 (a) (15 pts) Find the valo e impulse respsofte system 3 (b) (15 pts) Find the valucof the impulse response of the t...