find the unit impulse response, h[k] of a system specified by the following equation
(E^2 - 6E +9)y[k] = Ef[k]
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find the unit impulse response, h[k] of a system specified by the following equation (E^2 -...
Determine the unit impulse response h[n] for a system in Example 3.11 specified by the equation y[n] -0.6y[n - 1] -0.16y[n - 2) = 5x[n]
5. Find the unit impulse response of a system specified by the equation (D2 5D 6)y(t) (D2 7D 11)x(t)
6. Find h[k], the unit impulse response of the systems described by the following equations: a) y[k] + 3y[k – 1] + 2y[k – 2] = f[k] +3f[k – 1] +3f[k – 2] b) yk + 2 + 2y k + 1] + yſk] =2fk + 2] – fk + 1] c) y[k] - yſk – 1] + 0.5y[k – 2] = f[k] + 2f[k – 1]
Question 6 (3 points) Find the unit impulse response of the following discrete-time system y[k + 1] + 2y[k] = f[k]
4: An LTIC system is specified by the impulse response h() 3sin(rt) shown in Fig. 2. Find the zero state sponse for the input a) xt)-2ut) b)x) 8(-1) h(t) 3sin(t) 1/2 1 Fig. 2
find the unit impulse response of y(k) - 0.6y(k-1) - 0.16y(k-2) = 5f(k) ?
1 Find the impulse response of H(z), where H(z) is the system 1-2+2 function of the difference equation of the 2nd-order IIR filter given by the block diagram Y(z) X(z) + X + +
Question 1 (10 pts): Consider the continuous-time LTI system S whose unit impulse response h is given by Le., h consists of a unit impulse at time 0 followed by a unit impulse at time (a) (2pts) Obtain and plot the unit step response of S. (b) (2pts) Is S stable? Is it causal? Explain Two unrelated questions (c) (2pts) Is the ideal low-pass continuous-time filter (frequency response H(w) for H()0 otherwise) causal? Explain (d) (4 pts) Is the discrete-time...
(e) Consider an LTI system with impulse response h(t) = π8ǐnc(2(t-1). i. (5 pts) Find the frequency response H(jw). Hint: Use the FT properties and pairs tables. ii. (5 pts) Find the output y(t) when the input is (tsin(t) by using the Fourier Transform method. 3. Fourier Transforms: LTI Systems Described by LCCDE (35 pts) (a) Consider a causal (meaning zero initial conditions) LTI system represented by its input-output relationship in the form of a differential equation:-p +3讐+ 2y(t)--r(t). i....
2. Use a convolutional sum to find the zero-state response of an LTI system to a unit step! sequence if the system impulse response is (a) h(k)=8k), (b) h(k)= {e, k < 0 (3, k 20 3 k=o (c) h(k) = { 2 12 k=1 | 1, k=2 1o otherwise S(0.9)", k20 10, k < 0 [Ans: y(k) = 10 - 9(0.9)k, k = 0,1,2,...]