EE313 Linear Systems and Signals - Midterm #2

Each midterm exam will be an open book, open notes, open laptop exam that is scheduled to last the entire period. The laptop must have all external networking connections disabled. Because each midterm is an open book, notes and laptop exam, you'll likely need to move quickly through the exam but also need to think deeply about possible ways to solve the problems. To this end, having a week of regular sleep, eating, and exercise will be very helpful.

Midterm #2 for the Fall 2018 semester will be on Tuesday, Nov. 20th, during lecture time (12:30pm to 1:45pm) but in a larger room TBA. The extra space will help you be more comfortable to arrange your books, notes, and laptop for the midterm exam.

Previous Tests

Here are several example midterm #2 exams: Here are the questions from the previous exams that are related to the material to be covered on midterm #2 this semester.


A review of midterm #2 material is available from a previous offering of the course. We haven't covered the material on the Laplace transform yet.

For midterm #2 in EE 313, you will be responsible for the following sections of Signal Processing First book by McClellan, Schafer and Yoder:

You will also be responsible for the material in

There will likely be five questions on midterm #2. There will be no questions about Matlab.

Other Questions

Is the region of convergence affected when there is a time shift?

The region of convergence is not affected by a time shift. A time shift simply causes the Laplace transform to have a multiplication term in the form on exp(-s t0) where t0 is the time shift.

Also, if it is a unilateral Laplace transform, do we need to worry about how to find the region of convergence (in lecture slide 11-10 it states that there is no need to specify a region of convergence)?

The region of convergence is not necessary if one is computing the inverse Laplace transform and the time-domain signal that will result is causal. However, for other reasons, such as BIBO stability checking for transfer functions and converting transfer functions to frequency responses, knowing the region of convergence is critical.

Problem 2 on Fall 1999 Midterm #2
This problem gives the step response of an LTI system, which we'll call ystep(t). It then asks you to find the response to a new signal x(t). Here are two different approaches for solving this problem:

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