Question

Q3: Consider the two parallel systems whose impulse responses are given by $h_1(t) = e^{-t}u(t)$ and $h_2(t) = e^{-2t}u(t)$. Assume an input signal $x(t) = rect(\frac{t}{3})$ was passed to both systems, and the outputs were collected at the end of each system, for $t \in (-3,3)$. (a) Generate $x(t)$, $h_1(t)$, $h_2(t)$. (b) Compare the sum of the individual outputs $y_1(t) + y_2(t)$ with the output of the equivalent system $h(t) = h_1(t) + h_2(t)$ when subject to the same input signal.

          Q3: Consider the two parallel systems whose impulse responses are given by $h_1(t) = e^{-t}u(t)$ and
$h_2(t) = e^{-2t}u(t)$. Assume an input signal $x(t) = rect(\frac{t}{3})$ was passed to both systems, and the outputs
were collected at the end of each system, for $t \in (-3,3)$.
(a) Generate $x(t)$, $h_1(t)$, $h_2(t)$.
(b) Compare the sum of the individual outputs $y_1(t) + y_2(t)$ with the output of the equivalent
system $h(t) = h_1(t) + h_2(t)$ when subject to the same input signal.

Show more…

Q3: Consider the two parallel systems whose impulse responses are given by h1(t) = e^-tu(t) and
h2(t) = e^-2tu(t). Assume an input signal x(t) = rect((t)/(3)) was passed to both systems, and the outputs
were collected at the end of each system, for t ∈ (-3,3).
(a) Generate x(t), h1(t), h2(t).
(b) Compare the sum of the individual outputs y1(t) + y2(t) with the output of the equivalent
system h(t) = h1(t) + h2(t) when subject to the same input signal.

Added by Ricky L.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Akash M

10/26/2023

Step 1

We can generate an input signal x(t) using a simple function, for example, a sinusoidal function: x(t) = sin(2*pi*t) The impulse responses h1(t) and h2(t) are already given: h1(t) = e^-t * u(t) h2(t) = e^-2t * u(t) Show more…

Show all steps

lock

Thanks for your feedback!

Please solve using MATLAB Q3: Consider the two parallel systems whose impulse responses are given by h(t) = e^-t u(t) and h(t) = e^-2t u(t). Assume an input signal x(t) was passed to both systems, and the outputs were collected at the end of each system, for t >= 0. (a) Generate x(t), h1(t), h2(t). (b) Compare the sum of the individual outputs y1(t) + y2(t) with the output of the equivalent system h(t) when subject to the same input signal.

Play audio

Feedback

Powered by NumerAI

Akash M and 78 other subject Physics 102 Electricity and Magnetism educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later