4: An LTIC system is specified by the impulse response h() 3sin(rt) shown in Fig. 2....
24-8 An LTIC system has impulse response ho shown in Fig. P2.4-8. Lett have units of second Let the input be x(1) = u(-1-2) and designate the output as yzsr(t) = x(t) *h(t). (a) Use the graphical convolution procedure where h(t) is flipped and shifted to deter- mine yzsr(t). Accurately plot your result. (b) Use the graphical convolution procedure where x(1) is flipped and shifted to deter- mine Yzsr(t). Accurately plot your result. -2 -1 0 1 2 3 4...
An LTIC system is specified by the equation(D2+9)y(t)=(3D+2)x(t)y0(0^-)=6a. Find the characteristic polynomial, characteristic equation, characteristic roots, and characteristic modes of this system.b. Find y0(t) the zero-input component of the response y(t) for t ≥ 0, if the initial conditions are y0(0−) = 2 and y0(0^-)=-1
7. Find the zero-state response of the input signal r(t) = ej2t for the LTIC system with the unit impulse response h(t) = e-tu(t).
A LTIC system is specified by the equation(D^2 + 5D + 6)y(t) = (D^2 + 7D + 11)x(t)Find the zero-input response of the response y(t) and the impulse response h(t) if the initial conditions are y(0) = 0 and y'(0) = 1.
Create chart or table Consider the system with the impulse response ht)e u(t), as shown in Figure 3.2(a). This system's response to an input of x(t) 1) would be y(t) h(r ult 1). as shown in Figure 3.2(b). If the input signal is a sum of weighted, time-shifted impulses as described by (3.10), separated in time by Δ = 0.1 (s) so that xt)01-0.1k), as shown in Figure 3.2(c), then, according to (3.11), the output is This output signal is...
3. (20 points) A system has an impulse response given by h (t) sin (2t) rt (a) Find the frequency response function of this system H (w). (b) Find the frequency domain output Y (w) if the input to the system is z (t) cos (3t).
Problem 4: [10 Points A LTIC systems has impulse response as showm betlow t h(t) Using analytical or graphical convolution, find and sketch the system's output yto if the input x (t) is: x(t):#6(t) _ 26(t-1)[31 a) b) x(o) - rect ()17 Solution: Problem 4: [10 Points A LTIC systems has impulse response as showm betlow t h(t) Using analytical or graphical convolution, find and sketch the system's output yto if the input x (t) is: x(t):#6(t) _ 26(t-1)[31 a)...
An LTIC system has a step response given by s()- (ee2) u() A] Use the Laplace transform to find the impulse response B] Determine the steady-state response (a long time after 0) to the input x(t) ?(t-?)-cos(2t) u(t) C] Realize this system using direct form II
2. For an LTIC system with transfer function: jw+1)jw+2) Find the (zero-state) response y(t), if the input f0) are: (a). 2e u(t
Given a zero-state LTI system whose impulse response h(t) = u(t) u(t-2), if the input of the system is r(t), find the system equation which relates the input to the output y(t) 4. (20 points) If a causal signal's s-domain representation is given as X (s) = (s+ 2)(s2 +2s + 5) (a) find all the poles and zero of the function. 2 1 52243 orr