3. The impulse response $h(t)$ and input signal $x(t)$ of an LTI system shown below, find the output response $y(t)$ using convolution (note that $x(t) = \delta(t) + \delta(t - 1) + \delta(t - 2)$).
Added by Jeffery R.
Close
Step 1
Given: h(t) = 1 x(t) = t + (t-1) + t - 2 Show more…
Show all steps
Your feedback will help us improve your experience
Rajesh Kumar and 96 other Physics 102 Electricity and Magnetism educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Consider a continuous-time linear time-invariant (CLTI) system with the input signal x(t) and the impulse response h(t). Use the convolution integral and the analytical method to find the system's output y(t). (a) x(t) = 2tu(t) - 2, h(t) = u(t - 4) (b) x(t) = r(t), h(t) = rect((t - 4)/6) Answers: (a) y(t) = e^(-2t+8) * e^(-4j*u(t - 6)) (b) y(t) = (t - 1)u(t - 1) - (1/2)(t - 7)^2u(t - 7)
Sri K.
Consider a Linear and Time-Invariant System (LTI) whose impulse response is given by h(t). Find the output y(t) corresponding to the input x(t) using the Convolution Integral x(t) = 2[u(t) - u(t - 3)] + [u(t - 3) - u(t - 5)] h(t) = e^{3t}[u(t) - u(t - 3)]
Adi S.
The impulse response of an LTI system is given below: h(t) = u(t). Find the output y(t) when the input is x(t) = e^-(t-1)u(t). All the signals should be sketched.
Hemraj K.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD