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Complete Course for 2021 – Digital Signal Processing, DSP, Signal Processing, DFT, FFT, Digital Filters

What you will learn

Be able to learn the basic discrete-time signals and system types

Be able to learn impulse and frequency response concepts for linear, time-invariant (LTI) systems

Be able to learn discrete-time Fourier transform, DFT and basic properties of these

Be able to Z and inverse Z transform, region of convergence concepts and their properties

Understands block diagram representations of difference equations that realize digital filters, Learns direct forms 1 and 2 for IIR filter realization.

Understands Radix-2 Techniques and Learns direct form for FIR filter realization

Description

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DSP subject deals with Discrete time signal analysis, Discrete Time systems, DTFT, DFT, FFT, Digital Filters ( IIRΒ and FIR filters). The course covers the essential elements of a DSP system from A/D conversion. The course starts with a detailed overview of discrete-time signals( periodic, even, odd, energy and power ) and systems, representation of the systems by means of differential equations, and their analysis using Fourier and z-transforms. Solving differential equations using Z-Transforms and finding frequency responses. Topics include sampling, impulse response, frequency response, finite and infinite impulse response systems, linear phase systems, digital filter design and implementation, discrete-time Fourier transforms, discrete Fourier transform, and the fast Fourier transform algorithms.

Understands the linear convolution( Graphical method and tabular form method) and circular convolution (Matrix and Concentric circle methods) and differences. This course deals with limitations of DTFT and DFT.FFT techniques are DIT-DFT, DIT-IDFT,DIF-DFT and DIF-IDFT techniques.


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Digital filters are IIR and FIR filters, design methods and implementation.

Digital Signal Processing concludes with digital filter design and a discussion of the fast Fourier transform algorithm for computation of the discrete Fourier transform.

This course covers Decimation( down sampling) and Interpolation ( up sampling)Β  operations.

This course covers multi rate signal processing and single rate signal processing.

I suggest you use the “Signals and Systems” book by Oppenheim or Digital Signal Processing By Proakis.

English
language

Content

Introduction

Introduction of Discrete Time signals
Basic Signals
Time Shifting Operation
Time Scaling Operation
Time Folding Operation
ADD/SUB/MUL of signals
Relation between Basic signals

CLASSIFICATION OF SIGNALS

Classification of signals
Periodic and Aperiodic Signals
Problems on Periodic and Aperiodic signals
Energy and Power signals
Problems on Energy and Power signals
Problems on Energy and Power signals-2
EVEN and ODD signals
EVEN and ODD signals1
CAUSAL and NON-CAUSAL signals

SYSTEMS

Types of systems ( Linear and Non-Linear)
Linear and Non-Linear systems
Stable and Unstable systems
Stable and Unstable systems1
Static and Dynamic systems
Static and Dynamic systems1
Time variant and Time invariant system

Z – TRANSFORMS

Introduction
Z – Transform of basic signals
Z – Transform ( ROC )
Z-Transform of given signals
Z-Transform of given signals1
Z-Transform of given signals2
Z-Transform of given signals3
Z-Transform of given signals4
Z-Transform of given signals5
Z-Transform of given signals6
Z-Transform of finite sequence
Z-Transform of finite sequence 1
Z-Transform of sinusoidal signals
Z-Transform of sinusoidal signals1
Scaling property of Z-Transform
Time scaling property of Z-Transform
Time shifting property of Z-Transform
Time shifting property of Z-Transform(1)
Multiplication in time domain property of Z-Transform
Time folding property of Z-Transform
All properties of Z-Transform
Problems on Z-Transform
Problems on Z-Transform-1
Inverse Z-Transform
Z-Transform of given signals4

Convolution

Introduction
Linear Convolution
Linear Convolution1
Linear Convolution2
Circular Convolution
Circular Convolution1
Circular Convolution2

DISCRETE TIME FOURIER TRANSFORM(D.T.F.T)

Introduction
Relation between DTFT and ZT
DTFT of basic signals
DTFT of given Signals
DTFT of given Signals1
Properties of DTFT
Properties of DTFT-1
Properties of DTFT-2
Problems On DTFT
Problems On DTFT1

DISCRETE FOURIER TRANSFORM ( DFT )

Fourier Analysis
DTFT and DFT
DFT of given sequence
DFT of given sequence1