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)...
A system has an input, x(t) and an impulse response, h(t). Using the convolution integral, find and plot the system output, y(t), for the combination given below. x(t) is P3.2(e) and h(t) is P3.2(f). 1/2 cycle of 2 cos at -2. (e)
4. Convolution EX4. The input X(t) and impulse response h(t) for a system are given. Using convolution evaluating the system output y(t). X(t)=1 O<t1 h(t)=sin pi*t 0<<2 =0 else where =0 elsewhere Xit) ↑ hlt) E mer
1. Evaluate and sketch the convolution integral (the output y(t)) for a system with input x(t) and impulse response h(t), where x(t) = u(1-2) and h(t)= "u(t) u(t) is the unit step function. Please show clearly all the necessary steps of convolution. Determine the values of the output y(t) at 1 = 0,1 = 3,1 = 00. (3 pts)
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...
The output of this system v(t) is a convolution of the input r(t) and an impulse response h(t). Find a simple expression for the impulse response h(t). Simplify the expression so that it doesn't contain any explicit convolutions. y(t) dt
Let x(t) = tu(t) be the input to a LTI with impulse response h(t) = t 2u(t). Find the output y(t) using convolution
4. A linear time invariant system has the following impulse response: h(t) =2e-at u(t) Use convolution to find the response y(t) to the following input: x(t) = u(t)-u(t-4) Sketch y(t) for the case when a = 1
(1) For the impulse response (h(t)) and input signal (x(t)) of an LTI system shown below, find and plot the output response (y(t)) by integrating the convolution analytically h(t) x(t) t (s)
roblem1 hat is the output of the system if the input and the impulse response are X(t) h(t) 4 -1 roblem1 hat is the output of the system if the input and the impulse response are X(t) h(t) 4 -1
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