4. Convolution EX4. The input X(t) and impulse response h(t) for a system are given. Using...
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)
CONVOLUTION - Questions 4 and 5 4. Consider an LTI system with an impulse response h(n) = [1 2 1] for 0 <n<2. If the input to the system is x(n) = u(n)-un-2) where u(n) is the unit-step, calculate the output of the system y(n) analytically. Check your answer using the "conv" function in MATLAB. 5. Consider an LTI system with an impulse response h(n) = u(n) where u(n) is the unit-step. (a) If the input to the system is...
(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)
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
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)...
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)
Let a system have impulse response h(t) and input x(t) given by (1257) (37704) +20 cos t0.01 20 cos C = 628 e-628t u(t), h(t) r(t) 0, else Using the same frequency scale (you can use different magnitude scales), plot the following over the range 1500 Hz (a) Hf) (b) X(f)(e) |Y(f)|
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
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