Digital Signal Processing
Module 1
syllabus
Basic Elements of a DSP system, Typical DSP applications, Finite-length discrete transforms, Orthogonal transforms – The Discrete Fourier Transform: DFT as a linear transformation (Matrix relations), Relationship of the DFT to other transforms, IDFT, Properties of DFT and examples. Circular convolution, Linear Filtering methods based on the DFT, linear convolution using circular convolution, Filtering of long data sequences, overlap save and overlap add methods, Frequency Analysis of Signals using the DFT (concept only required)
Video Lectures
Introduction to Digital Signal Processing | DSP - Module 1 | Lecture 01
Topic covered :
Introduction to Digital signal processing
Basic blocks of DSP
Introduction to Discrete Fourier Transform (DFT) | Solved problem | DSP - Module 1 | Lecture 02
Topic covered :
00:14 - Introduction to Digital Signal Processing (DSP)
04: 46 - Basic blocks of DSP
DFT as a linear transformation (Matrix method) | DSP - Module 1 | Lecture 03
Topic covered :
DFT as a linear transformation method (Matrix method)
Calculation / Development of twiddle factor matrix simplified method | DSP - Module 1 | Lecture 04
Topic covered :
How to calculate twiddle factor matrix in DFT
Relationship of DFT to Fourier Transform and Z-Transform | Proof | DSP - Module 1 | Lecture 05
Topic covered :
00:13 - Relationship of DFT to Fourier Transform
02:10 - Relationship of DFT to Z Transform
Properties of DFT - Part 1 | DSP - Module 1 | Lecture 06
Topic covered
Properties of Discrete Fourier Transform (DFT)
00:47 - Periodicity property
01:27 - Linearity property
02:28 - circular time shift property with proof
05:20 - Circular time shift property based problem & solution
Properties of DFT - Part 2 | DSP - Module 1 | Lecture 07
Topic covered
Properties of Discrete Fourier Transform (DFT)
00:27 - Time reversal property
01:22 - Circular frequency property with proof
03:50 - Complex conjugate property with proof and solved problem
Linear convolution | Solved problem | Graphical method & matrix method | DSP - Module 1 | Lecture 08
Topic covered
Linear convolution
00:31 - Linear convolution equation
01:11 - Solved problem - Graphical method
10:51 - Solved problem - Matrix method
Introduction to Circular convolution | Solved problem | Matrix method | DSP - Module 1 | Lecture 09
Topic covered
Circular convolution
00:18 - Circular convolution Introduction
03:04 - Matrix method - Solved problem
Concentric Circle or Stockholm's Method | Circular Conv | Solved problem | DSP Module 1 | Lecture 10
Topic covered
Circular convolution - Concentric Circle or Stockholm's Method
Solved probelm
Linear convolution using circular convolution | Solved problem | DSP Module 1 | Lecture 11
Topic covered
Linear convolution using circular convolution
Solved problem
Overlap save method | filtering of long duration sequence | Problem | DSP Module 1 | Lecture 12
Topic covered
Filtering of long duration sequence - Overlap - save method
Solved problem
Overlap save method | Solved Example | Step by step solution | DSP Module 1 | Lecture 13
Topic covered
Filtering of long duration sequence - Overlap - save method
Solved problem
Overlap Add method | filtering of long duration sequence | Problem | DSP Module 1 | Lecture 14
Topic covered
Filtering of long duration sequence - Overlap - Add method
Solved problem
Overlap Add method | Solved Example | Step by step solution | DSP Module 1 | Lecture 15
Topic covered
Filtering of long duration sequence - Overlap - Add method
Solved problem