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This course addresses the representation, analysis, and design of discrete time signals and systems. The major concepts covered include Discrete-time processing of continuous-time signals, decimation, interpolation, and sampling rate conversion, flow graph structures for DT systems. In addition to that, time and frequency domain design techniques for recursive (IIR) and non-recursive (FIR) filters, linear prediction, short-time Fourier analysis and filter banks, Hilbert transforms and various applications.


This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.


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Course Credit: MIT

Course Curriculum

Module 01
Background Review Phase, Group Delay, and Generalized Linear… 00:10:00
Minimum-phase and All-pass Systems 00:10:00
DT Processing of CT Signals and CT Processing of DT Signals: Fractional Delay 00:05:00
Sampling Rate Conversion 00:05:00
Quantization and Oversampled Noise Shaping 00:10:00
IIR, FIR Filter Structures 00:30:00
Filter Design IIR Filters 00:15:00
Filter Design FIR Filters 00:10:00
Multirate Systems and Polyphase Structures 00:10:00
Multirate Systems and Polyphase Structures (cont.) 00:05:00
Module 02
Linear Prediction and All-pole Modeling 00:05:00
The Levinson-Durbin Recursion 00:10:00
The Discrete Fourier Transform (DFT) 00:10:00
Linear Filtering with the DFT 00:10:00
Spectral Analysis with the DFT 00:05:00
Periodogram 00:10:00
FFT Algorithms 00:05:00
The Goertzel Algorithm and the Chirp Transform 00:05:00
Short-time Fourier Analysis 00:10:00
Modulated Filter Bank 00:10:00
Submit Your Assignment 00:00:00
Certification 00:00:00

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