What This Document Is
This document is a completed homework assignment (Problem Set #8) for Intro-Signal Processing (ECE 2025) at Georgia Tech, dated October 22, 1999. It provides detailed solutions to a series of problems focused on applying different approaches to find the output of a 5-point moving averager filter with various input signals.
Why This Document Matters
This assignment is intended for students enrolled in ECE 2025 who are seeking to check their work and understand the correct application of signal processing techniques. It’s valuable for reinforcing concepts related to filter design, z-transforms, frequency response, and convolution. It serves as a study aid for understanding how to approach different types of input signals (speech, unit step, cosine waves, impulse) with a moving average filter.
Common Limitations or Challenges
This document provides *solutions* to specific problems, but it does not offer a comprehensive tutorial on the underlying signal processing principles. Students still need to understand the core concepts to apply these techniques to new, unseen problems. It is a completed assignment, not a teaching tool.
What This Document Provides
The full document includes:
* Solutions to five problems (a-e) involving finding the output of a 5-point moving average filter for different input signals.
* Outlines of the approaches used for each problem, including justifications for choosing specific methods (time domain, z-transform, frequency domain, convolution).
* Detailed steps for solving each problem, including finding difference equations, z-transforms, frequency responses, and performing convolutions.
* Solutions for specific inputs like sampled speech, the unit step function, cosine waves, and impulse functions.
* A worked example of convolution for both a unit impulse input and a rectangular pulse input.
This preview does *not* include the full calculations or detailed derivations within each solution. It only describes the types of problems solved and the approaches taken.
