30.115 Digital Signal Processing

Goal

The aims of this course are to teach the students with digital signal principles and processing techniques. This course serves as a strong fundamental for digital signal processing with projects experience in audio processing and image processing.

Learning objectives

• Generate various discrete time signal sequences and perform simple operations to process signal sequence
• Analyze time domain and frequency domain signals and convert between them
• Formulate the discrete-time systems and derive the hardware implementation
• Apply design techniques to create digital filters (FIR & IIR) with given digital signal processing specifications

Measurable outcomes

• Explain the sampling theorem. Compare and contrast the features of discrete time signals versus continuous signals.
• Compare and contrast the features of linear and non-linear, time-variant and time-invariant discrete time systems.
• Calculate DFT and IDFT of given signal sequences.
• Apply the FFT algorithm to demonstrate the advantages of FFT over DFT
• Design FIR and IIR filters by calculation to meet specific magnitude and phase requirements.
• Design and implement digital filters using MATLAB and simulate the designs to verify the performance.
• Develop and deliver a design exercise document that describes the filter design strategies based on given filter specifications.
• Develop and deliver a design exercise document that analyzes and summarizes design rules for low cost digital signal filters

Pedagogy

Cohort based learning, with lab exercises and design 1D project.

Grading

• Class participation (5%)
• Homework (10%)
• Lab exercises using Matlab DSP design toolbox (20%)
• 1D project (10%)
• Midterm Exam (20%)
• Final Exam (35%)

Prerequisite

• 10.018 Modelling Space and Systems

Text and references

• Digital Signal Processing (4th Edition);
  Authors: John G. Proakis, Dimitris K Manolakis
  ISBN-13: 978-0131873742

Course instructor

• Cai Kui