H1(2) y[n] Xn] 1 H3(2) H2(2) Figure 2: Consider the system shown in Figure 2. Suppose...
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...
h[n] x[n] nlin] h3[n] > ym y[n] h2[n] - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - →YN] xfn] — Mn] Figure 2-33 Problem 2-20 Given the system shown in Figure 2-33, with h[n]= a[n]+N[n-1] h,[n]= b[n-1]-s[n-2] h,["]= [n+1]-s[n-1] a) Find the equivalent impulse response of the system, h[n]....
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.
(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...
3. (20 points) Find the impulse responses of the subsystems (h[n] and h2[n]) shown in figure below, then find the impulse response of the cascaded system (input x[n], output y2[n). Subsystem 1 is described by: Subsystem 2 is described by: iIn] LTILTI h1[n h2n
Please solve the following with full steps. 2. Given the following z-transform of the impulse response h [n], of a causal LTI system Ti H1 (z) = (,-1)(z-0.5) (a) Find hin (b) Verify the first three non-zero values of hi[n] using long division. (c) Find the z transform Hs(z) of hs[n]-2"hi[n], and specify the ROC. (d) Find thez transform H4() of han+n -1], and specify the ROC. e) Find the impulse response, hs[n], of the system Ts, which is the...
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...
4. Consider the magnitude and phase of the frequency response Hi(2) of a linear and time-invariant (LTI) discrete-time System 1, given for-r < Ω-T, as: H, (12)| 10 phase H1(Ω)--0 for all Ω (a) Suppose an 5cos(n s input to System 1. Find the output ya[n] (b) Suppose ancos(is input to System 1. Find the output ybn] (c) Suppose I take the discrete-time signal from part (a): xa[n] 5cos(n), but I remove half of the values: to arrive at a...
Find the impulse response of the following system if 5. hi (n) 6(n) 35(n- 1) h2(n) 3"u(n) n h3(n) u(n) h4(n) nu(n) hs(n) (n)nu(n- 1)8(n - 2) h4 (n) h2 (n) h2(n) h3(n) h5 (n) Find the impulse response of the following system if 5. h[n] 8[n]-36[n - 1] hz[n] 3"u[n] n uln] ha[n] nuln] h&n] hs[n]-8[n]+nu[n 1]- 8n-2] h&[n] h3[n] hn] h2[n] hs[n]
with h1(n)=(2)nu(n),h2(n) istheimpulseresponseof y(n)+3y(n−1)=w(n), and x(n)=(4)nu(n). (a) Determine h 2 ( n ) and the overall impulse response h ( n ) (b) Determine w(n) (c) Determine y(n) (d) Determine the difference equation of the overall system