EE017-3.5-2- Signals and Linear Systems Laboratory Exercise - Linear Time Invariant System using Transformation Techniques - Continuous Time - Discrete Time - Engineering Assessment Answer

Assessment Task:

EE017-3.5-2: Signals and Linear Systems Laboratory Exercise Assessment Answer

Background Theory
The study of properties and behavior of a system using a body of mathematical techniques based on linear system theory. A theoretical system can be defined as the response of impulse h(n) and input signal which is a time varied mathematical function, x(n). Then, the output of LTI system
y(n) is the convolved pattern of system impulse response with input signal in such a way as to form a whole. A complete analysis of linear system is concerned with the study of its fundamental characteristics and its responses. Practically, all the analysis is being carried out discreetly, but input is a continuous time version. So, the appropriate conversion technique required to use initially to make a discrete and then all the fundamental discrete analysis will be conducted. At the output stage, the discrete outputs will be converted into analogue for producing outputs and thereby significant responses can be extracted. To perform the analysis, appropriate mathematical properties will be coded as well as modeled using suitable simulation
platforms for this significant study of linear systems.

Lab Work
You are expected to do the following work in the laboratory;
1. Choose your own Continuous Time (CT) input signal, which consists of three different analog frequency components. Detect the corresponding Discrete Time (DT) output signal for exiting the Linear Time-Invariant (LTI) DT system.

2. Consider the Discrete Time (DT) system with the system function h(n) ? ?(n) ? ?(n ?1) ? ?(n ? 2) for analyzing the output response, excited with DT input signal.

3. Explain the appropriate theoritical analysis for signal conversion, frequency domain representation, system transfer function, pole-zero plot, output response, step response and frequency response using z transform.

4. Develop the MATLAB program for the entire work mentioned above with appropriate comments.

5. Organize the outcomes of entire work as a report with inclusive of discussion and conclusion.

6. Present your work done in a report format to your module lecturer.

Assessment Criteria
Laboratory Report Max Marks 50
Report documentation as follows

a. Analytical explanation of the work with appropriate introduction & technical details (Attach relevant equations and diagrams) 15%

b. Develop the Matlab program to analyse the DT system with comments 15%

c. Illustrate the simulation results and plots for the given task 10%

d. Discussion and Conclusion on results obtained as a solution to the DTS problem.

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