Discrete Time Signal Processing
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Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
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English | Self Study | Video and Text Based |
Courses and Certificate Fees
Fees Informations | Certificate Availability | Certificate Providing Authority |
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INR 8312 | yes | MIT 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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