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Quick Facts

Medium Of InstructionsMode Of LearningMode Of Delivery
EnglishSelf StudyVideo and Text Based

Courses and Certificate Fees

Fees InformationsCertificate AvailabilityCertificate Providing Authority
INR 8312yesMIT Cambridge

The Syllabus

  • Message from your instructors
  • Topics covered in this course

  • Week 1 Overview
  • T1.1: Difference equations for LTI systems
  • T1.2: Frequency response magnitude, amplitude, phase, and group delay
  • T1.3: Interpretation of group delay for narrow-band and wide-band signals
  • Problem Set 1

  • Self-assessment questions

  • Week 2 Overview
  • T2.1: Allpass systems
  • T2.2: Minimum-phase systems
  • T2.3: System factorization
  • T3.1: Conversion between continuous- and discrete-time
  • T3.2: The effective CT frequency response
  • T3.3: Further comments on sampling
  • Problem Set 2

  • Week 3 Overview
  • T4.1: Expanders and decimators
  • T4.2: Noble identities
  • T5.1: Quantization
  • T5.2: Oversampled noise shaping
  • Problem Set 3

  • Week 4 Overview
  • T6.1: Signal-flow graph notation and basic structures
  • T6.2: Effects of coefficient quantization and overview of FIR structures
  • T7.1: FIR lattice structures
  • T7.2: IIR lattice structures, conditions for minimum phase
  • Problem Set 4

  • Week 5 Overview
  • T8.1: The bilinear transform
  • T8.2: IIR design examples
  • T9.1: Windowed FIR filter design
  • T9.2: Optimal FIR filter design
  • Problem Set 5

  • Exam 1 Instructions
  • Exam 1 Assessment questions

  • Week 6 Overview
  • T10.1: Formulation of all-pole modeling and linear prediction
  • T10.2: Comments and interpretation
  • T11.1: Recursive solution of the ACNEs
  • Problem Set 6

  • Week 7 Overview
  • T12.1: Polyphase in upsampling and downsampling systems
  • T12.2: Design of efficient rate-conversion systems
  • Enrichment lecture: DSP Everywhere
  • Problem Set 7

  • Week 8 Overview
  • T13.1: Definition of the DFT
  • T13.2: Properties of the DFT
  • T13.3: Convolution with the DFT
  • Problem Set 8

  • Week 9 Overview
  • T14.1: Direct computation of the DFT and the Goertzel algorithm
  • T14.2: FFT algorithms
  • T14.3: The DFT and convolution
  • Problem Set 9

  • Exam 2 Instructions
  • Exam 2 Assessment questions

  • Week 10 Overview
  • T15.1: Analysis of narrowband signals
  • T15.2: Analysis of stochastic signals
  • Enrichment lecture: How Caruso Lost His Orchestra
  • Problem Set 10

  • Week 11 Overview
  • T16.1: Definition of the TDDTFT
  • T16.2: Modulated filter banks and their relation to the TDDTFT
  • T17.1: Polyphase implementations of modulated filter banks
  • T17.2: Subband coding and octave-band filter banks
  • Problem Set 11

  • Exam 3 Instructions
  • Exam 3 Assessment questions

  • IIR Design Tools
  • FIR Design Tools

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