Purchase Solution

linear time-invariant continuous system and Matlab

Not what you're looking for?

Ask Custom Question

1. A discrete-time system has the following unit-pulse response:
h[n] = 0.5^n - 0.25^n for n >= 0

Correspondingly, the following difference equation describes the behavior of the system:
y[n + 2] - 0.75y[n +1] + 0.125y[n] = 0.25x[n +1]

a. Use the MATLAB command conv to calculate the response of the system
to a unit step input, x[n]=u[n]. Consider 0 <= n <= 20 . Show what you type into the MATLAB command window. Also, submit a plot of the output. Be sure to label your axes.

2. A linear time-invariant continuous-time system has the impulse response below:
h(t) =[cos 2t + 4 sin 2t]u(t)

(a). Determine the transfer function H(s) of the system.
(b). Plot the system impulse response using MATLAB.
(c). The input, x(t) is defined as x(t)=((5/7)e^-t) - ((12/7)e^-8t), x >= 0. Find x(s).
(d). Compute the output response Y(s).
(e). Compute and plot y(t).

Attachments
Purchase this Solution

Solution Summary

The solution is comprised of detailed explanation of application of Laplace transform to find the transfer function of the linear time-invariant continuous system in s-domain. It also shows the calculation of the impulse response of the system. Furthermore, it also elaborates on finding the system output in both s-domain and time domain with certain input. Finally, the application is verified in Matlab codes.

Purchase this Solution


Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.