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Last updated:

August 6, 2022

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration

Description

This class 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; flowgraph structures for DT systems; time-and frequency-domain design techniques for recursive (IIR) and non-recursive (FIR) filters; linear prediction; discrete Fourier transform, FFT algorithm; short-time Fourier analysis and filter banks; multirate techniques; Hilbert transforms; Cepstral analysis and various applications.

Course Curriculum

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

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Courses

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Massachusetts Institute of Technology