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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.
Assessment
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.
Certification
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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 | ||
| Assessment | |||
| Submit Your Assignment | 00:00:00 | ||
| Certification | 00:00:00 | ||
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