Introduction to Signal Analysis Lab: LTI Systems and Difference Equations

Questions -

1. Write a function named step_resp that computes the step response of an LTI system. The step response is the response of a system to the unit step function, defined as follows:

You should be able to create this function by slightly modifying the impulse_resp function. Your function should also make plots of the unit step function and the step response. Call the function for the following input sets:

i. Start = -5, End = 40, bk=[ 0 : 0.5 : 8 ]

ii. Start = -5, End = 40, bk=[ 8 : -0.5 : 0 ]

Include in your report all generated plots, as well as a brief discussion of your observations in each case.

2. Call your step_resp function for Start = -5, End = 20, and bk=[ 1 -1 ]. Does the plot of step response look familiar? What discrete-time function does it look like? Using the input-output relationship of the given system (i.e. the difference equation), try to express the function in question in terms of the unit step function.

Lab report format -

1. Introduction - The objective the lab

2. Body - Result of the lab

3. Questions

4. Appendices - Code of the lab.

5. Conclusion.

Attachment:- Lab Assignment.rar