ME606 - Digital Signal Processing - Signal Processing Algorithms - Numerical Evaluation - Engineering Assessment Answer

Assessment Task:

ME606 - Digital Signal Processing - Signal Processing Algorithms - Numerical Evaluation - Engineering Assessment Answer

ME606

Introduction
The objective of this assessment is to practice signal processing theoretical concepts by numerical evaluation and software coding in MATLAB (or Octave). Students must individually attempt each
part to understand their strengths and weaknesses during the lectures. All the plots must have the title of each student’s MIT ID.

Learning Outcome

 a. Development and implementation of signal processing algorithms in MATLAB or Scilab

 b. In-depth design of digital filters c. Understand the design of multirate signal processing and their applications

Part A: System Analysis

• 1) Using the z-transform (ROC), prove that the system with ?
• 2) For the system of section 1) prove that the system is time invariant.
• 3) Is the system of section 1) memoryless? Why?
• 4) Find the z-transform of a finite length sequence
• 5.Suppose the above transfer function is a filter, what type of filter is it? (a low-pass, highpass, band-pass, band-stop or all-pass
• 6.Find the system impulse response (use partial fraction decomposition of the equation (1))

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