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Assignment 2 and Submission Guidelines School School of Information Technology and Engineering Course Name Master of Engineering (Telecommunications) Unit Code ME606 Unit Title Digital Signal Processing Assessment Author A/Prof Johnson I Agbinya Assessment Type Assignment 2 (Individual) Assessment Title z-Transforms, Filters and Multirate Signal Processing Concepts Unit Learning Outcomes covered in this assessment a., b, c., e. Weight 15% Total Marks 100 Word/page limit Release Date Week 8 Due Date Week 12 (Wednesday June 6 at 5.0pm) – Moodle will close after 5.0pm Submission Guidelines All work must be submitted on Moodle by the due date along with a completed Assignment Cover Page. The assignment must be in MS Word format, single line spacing, 11-pt Calibri (Body) font and 2 cm margins on all four sides of your page with appropriate section headings. Reference sources must be cited in the text of the report, and listed appropriately at the end in a reference list using IEEE referencing style for School of Business and School of Information Technology and Engineering respectively. Extension If an extension of time to submit work is required, a Special Consideration Application must be submitted directly through the AMS. You must submit this application three working days prior to the due date of the assignment. Further information is available at: http://www.mit.edu.au/about-mit/institute-publications/policies-procedures- and-guidelines/specialconsiderationdeferment Academic Misconduct Academic Misconduct is a serious offence. Depending on the seriousness of the case, penalties can vary from a written warning or zero marks to exclusion from the course or rescinding the degree. Students should make themselves familiar with the full policy and procedure available at: http://www.mit.edu.au/about- mit/institute-publications/policies-procedures-and-guidelines/Plagiarism- Academic-Misconduct-Policy-Procedure. For further information, please refer to the Academic Integrity Section in your Unit Description. http://www.mit.edu.au/about http://www.mit.edu.au/about http://www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment http://www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment http://www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment http://www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment http://www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment http://www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment http://www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment http://www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment http://www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment http://www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment http://www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment http://www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/special-considerationdeferment http://www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/Plagiarism-Academic-Misconduct-Policy-Procedure http://www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/Plagiarism-Academic-Misconduct-Policy-Procedure http://www.mit.edu.au/about-mit/institute-publications/policies-procedures-and-guidelines/Plagiarism-Academic-Misconduct-Policy-Procedure © MIT/SITE | ME606 Digital Signal Processing Assignment 2 Page 2 of 4 ME606 Assessment 2 1 Introduction The objective of this assessment is for each student to demonstrate understanding of the contents of lecture materials in the unit by applying the principles and concepts in lecture notes. Concepts covered by this assignment include z-transforms, system stability, impulse response of a filter and multirate signal processing concepts including down-sampling and up-sampling. 2 Questions A digital system is given by the following transfer function: 2 1 0.5 z H z z z 1) Calculate the zero(s) and pole(s) of the transfer function 2) Provide the zero(s) and pole(s) in polar form. 3) Plot the poles and zeros using the z-plane 4) Is the system stable or unstable? Why? 5) Determine the system equation in the form of 1 1 n m i j i j y n a y n i b x n j This means clearly give the values of ia and jb , n and m for 1 i n and 1 j m 6) Sketch the magnitude of the frequency response of the system between 0 and 2 7. Suppose the above transfer function is a filter, what type of filter is it? 8. Is the filter a low-pass, high-pass, band-pass, band-stop or all-pass? 9. Sketch a block diagram for implementing this system 10. Determine the impulse response h[n] of the causal system (note: the input x[n] is a unit impulse) 11. Down-sample the system in the time domain by factor L=2 12. Up-sample the system in the time domain by factor M=2 3 Format of Report Your report should be typed using a suitable equation editor. Hand written reports will not be given zero marks. Explain your results and give reasons for your answers. © MIT/SITE | ME606 Digital Signal Processing Assignment 2 Page 3 of 4 Marking criteria Marks are allocated as follows: Section included in the report Marks 1 3 2 3 3 2 4 3 5 5 6 5 7 2 8 2 9 5 10 5 11 5 12 5 Total 45 Marking Rubric for Exercise Answers Grade Mark HD 80%+ D 70%-79% CR 60%-69% P 50%-59% Fail< 50% excellent very good good satisfactory unsatisfactory evaluation logic is clear and easy to follow with strong arguments consistency logical and convincing mostly consistent and convincing adequate cohesion and conviction argument is confused and disjointed sophistication and effectivity the presented solution demonstrated an extreme degree of sophistication the presented solution demonstrated a high degree of sophistication the presented solution demonstrated an average degree of sophistication and effectivity to secure the presented solution demonstrated a low degree of sophistication and effectivity to secure the presented solution demonstrated a poor degree of sophistication and effectivity to secure explanation all elements are present and well integrated. components present with good cohesion components present and mostly well integrated most components present lacks structure. reference style clear styles with excellent source of references. clear referencing/ style generally good referencing/style unclear referencing/style lacks consistency with many errors report structure and report presentation proper writing. professionally presented properly written, with some minor deficiencies mostly good, but some structure or acceptable presentation poor structure, careless presentation © mit/site | me606 digital signal processing assignment 2 page 4 of 4 presentation problems the end 50%="" excellent="" very="" good="" good="" satisfactory="" unsatisfactory="" evaluation="" logic="" is="" clear="" and="" easy="" to="" follow="" with="" strong="" arguments="" consistency="" logical="" and="" convincing="" mostly="" consistent="" and="" convincing="" adequate="" cohesion="" and="" conviction="" argument="" is="" confused="" and="" disjointed="" sophistication="" and="" effectivity="" the="" presented="" solution="" demonstrated="" an="" extreme="" degree="" of="" sophistication="" the="" presented="" solution="" demonstrated="" a="" high="" degree="" of="" sophistication="" the="" presented="" solution="" demonstrated="" an="" average="" degree="" of="" sophistication="" and="" effectivity="" to="" secure="" the="" presented="" solution="" demonstrated="" a="" low="" degree="" of="" sophistication="" and="" effectivity="" to="" secure="" the="" presented="" solution="" demonstrated="" a="" poor="" degree="" of="" sophistication="" and="" effectivity="" to="" secure="" explanation="" all="" elements="" are="" present="" and="" well="" integrated.="" components="" present="" with="" good="" cohesion="" components="" present="" and="" mostly="" well="" integrated="" most="" components="" present="" lacks="" structure.="" reference="" style="" clear="" styles="" with="" excellent="" source="" of="" references.="" clear="" referencing/="" style="" generally="" good="" referencing/style="" unclear="" referencing/style="" lacks="" consistency="" with="" many="" errors="" report="" structure="" and="" report="" presentation="" proper="" writing.="" professionally="" presented="" properly="" written,="" with="" some="" minor="" deficiencies="" mostly="" good,="" but="" some="" structure="" or="" acceptable="" presentation="" poor="" structure,="" careless="" presentation="" ©="" mit/site="" |="" me606="" digital="" signal="" processing="" assignment="" 2="" page="" 4="" of="" 4="" presentation="" problems="" the="">