EEET2369 – Signals and Systems 1: Assignment 1 - Assignments should be submitted to Blackboard using the eReport Submission link no later than 11:59 pm on Friday 21st April 2017 (end of week 7). A 5% penalty per day late applies (including weekends). - Assignments MUST be submitted in either Word format (.doc or .docx) or portable document format (.pdf). Due to compatibility issues reports in other formats including (but not limited to) Open Office format (.odt) and Mac OS format (.pages) WILL NOT BE ACCEPTED! - The assignment is an individual task and is worth 10% of the overall course mark. - The assignment should be presented as follows: 1. Page 1: Cover Page (example): RMIT University School of Electrical and Computer Engineering EEET2369 – Signals and Systems 1 Assignment #1 Lecturer: Dr. Katrina Neville Student Name: …….. Student Number: ……… Submission Due Date: ……. 2. Page 2 onwards: 3. Answers to questions with appropriate predictions, calculations, MATLAB graphs and discussions. 4. References: Any sources used to find out more information. I.e. textbooks, journal/conference papers, websites, etc. must be in IEEE style format. 5. Appendix: MATLAB code and other results and calculations. The assignment will be assessed on the depth of conceptual understanding shown for each task. It is important not only to present correct results/ graphs/code but also to be able to analyse and discuss what your results are showing and how they link in with the concepts behind continuous-time signals and systems. Assignment 1: Continuous-Time Signals and Systems This assignment is going to examine a simple continuous-time system; the RC low-pass filter. You will be required to select appropriate parameters for your system to allow it to fulfil the requirements set out in the specifications, you will then need to use MATLAB to perform both time and frequency domain analysis on your system and show it fulfils the requirements. Problem background: An engineer has a continuous-time (analogue) signal that needs to be low-pass filtered before being processing by a digital system. The engineer has decided to use the simple RC circuit shown in figure 1 to filter the signal but needs to select the appropriate values of the time constant (τ = RC) to achieve the required attenuation at the correct frequencies (see table I for these parameters). Figure 1: Simple RC low-pass filter You are required to design and analyse a low-pass filter that will fulfil the specifications outlined in table I below (these are based on the 6th number in your student number): Table I: Parameters required for filter design 6th Student Number Frequency Required attenuation 1 1000 Hz 1/1000 2 2000 Hz 1/900 3 3000 Hz 1/800 4 4000 Hz 1/700 5 5000 Hz 1/600 6 6000 Hz 1/500 7 7000 Hz 1/400 8 9000 Hz 1/300 9 10000 Hz 1/200 0 11000 Hz 1/100 For example if your student number was 3210987 your 6th student number would be 8 so you would need to design and analyse a low-pass filter that attenuates all frequencies above 9000 Hz by at least 300 times (1/300th of the magnitude at 0 Hz). Task: Handworking: By hand, determine the general impulse response for the RC circuit shown in figure 1. Present the workings and solution to this in your report (typed not handwritten). By hand, determine the general frequency response for this RC circuit, again present the workings and solution to this in your report (typed not handwritten). Using the above information determine the required value of the time constant (τ = RC) that will fulfil the requirements set out in table I. MATLAB: Use MATLAB to plot the impulse response of your filter. Use MATLAB to plot the frequency response (magnitude and phase response) of this filter. Confirm that your low-pass filter fulfils the requirements set out in table I. Discuss: 1. Referring to your impulse response, explain whether the system is: a) stable, b) causal and c) linear time-invariant (LTI). What do these terms mean? How can we determine if a continuous-time system fulfils these conditions? 2. Referring to your frequency response curves, explain how this system responds to low frequency input signals (i.e. close to zero Hz). Contrast the frequency response of this system compared to a high-pass filter. Assessment Guide For Signals and Systems Assignment 0-49 Fail NN 50-59 Pass PA 60-69 Credit CR 70-79 Distinction DI 80-100 High Distinc’n HD Results (e.g. MATLAB figures/output) (30%) No results presented or there are fundamental flaws in the student’s understanding of the task and/or MATLAB code resulting in meaningless results. Some results are correct but many of the graphs contain errors resulting from poor understanding of the task and/or MATLAB syntax errors. Results are mostly correct. There may be a couple of graphs that contain minor errors and/or section contains superfluous or irrelevant results. Results presented are correct. Minimum required results presented to successfully answer assignment questions. All results presented in the report are correct and well presented. Student may also have included extra (relevant) results to help explain advanced concepts relating to the project. Discussion and analysis (50%) No relevant analysis has been presented in report. Student was unable to make links to theoretical concepts related to the topic and may have included irrelevant facts to explain results. Analysis presented in the report was superficial and only very basic links were made to the theoretical concepts related to the topic. Overall student appears to lack in-depth understanding. A reasonable analysis of the results has been presented, but it may lack some depth. Links have been made to theoretical concepts relating to the topic, but may lack essential details. A good analysis of results has been presented with only minor details missing. Student was able to make links to theoretical concepts relating to the topic to explain results. Student has presented an in-depth analysis of their results and has made links to advanced theoretical concepts relating to the topic to explain results. Referencing and citations (10%) Poor referencing style or no references used. Material may be copied without citing sources appropriately. References were inappropriate and/or lacked relevancy (e.g. Wikipedia or opinion pieces used). Citations may be missing. References are mostly appropriate and show some variation in type. A good attempt has been made at using the IEEE reference format with only minor errors. References used are all appropriate and show good variation in type. IEEE referencing format used correctly with very few errors. Has used a wide range of appropriate references. IEEE referencing format used flawlessly. Layout (10%) No structure or structure is highly disorganised. Poor use of grammar, and punctuation. Poor layout and difficult to read. Structure is sufficient to present the content. Ideas often presented in a disorganised manner. Grammar and spelling just acceptable. Content is generally organised logically with only some sections needing more attention. Few errors in spelling and grammar, report easy to navigate. Structure is sound throughout and follows a logical order. No errors in spelling and grammar, report clearly organised. Outstanding presentation of material which supports all requirements. Outstanding and professional use of language.