Course Syllabus
Chapter 1: Introduction
Definition of continuous and discrete time signals; Sampling and quantization in general terms.
Description and manipulation of discrete signals.
Concept of discrete time system and its classification -linearity, memory, time-invariant and causality.
Chapter 2: Discrete-time linear time-invariant (LTI)
Recursive and non-recursive difference equations.
Definition of finite impulse response (FIR) and infinite impulse response (IIR) type systems.
Impulse response and stability.
Linear convolution.
Classical method of solving difference equation - zero-input and zero-state response.
Chapter 3: z-Transform
Simple z-transform; Region of convergence; Poles and zeros; Stability and causality; Properties of z-transform; Inverse z-transform using partial fractions and properties.
Impulse response, Modern method of solving difference equation - zero-input and zero-state response.
Chapter 4 : Discrete Fourier Transform (DFT)
Definition, Formulation and Notation Discrete time Fourier series (DFS).
Definition, Formulation, Notation and spectrum representation, Discrete time Fourier transform (DFT); Properties of DFT.
Circular convolution; Computation of DFT by Fast Fourier transform (FFT); Use of DFT and FFT for spectral estimation ?gain and phase.
Chapter 5: Finite Impulse Response (FIR) Digital Filters
Categorization of filters; LPF, HPF, BPF and Stop/Reject Band Filter.
Deduction of system response for FIR filters design using windows algorithm; optimal method for equiripple FIR filters.
Chapter 6: Infinite Impulse Response (IIR) Digital Filters
Deduction of system response for IIR filters design from analogue filters.
Definition of continuous and discrete time signals; Sampling and quantization in general terms.
Description and manipulation of discrete signals.
Concept of discrete time system and its classification -linearity, memory, time-invariant and causality.
Chapter 2: Discrete-time linear time-invariant (LTI)
Recursive and non-recursive difference equations.
Definition of finite impulse response (FIR) and infinite impulse response (IIR) type systems.
Impulse response and stability.
Linear convolution.
Classical method of solving difference equation - zero-input and zero-state response.
Chapter 3: z-Transform
Simple z-transform; Region of convergence; Poles and zeros; Stability and causality; Properties of z-transform; Inverse z-transform using partial fractions and properties.
Impulse response, Modern method of solving difference equation - zero-input and zero-state response.
Chapter 4 : Discrete Fourier Transform (DFT)
Definition, Formulation and Notation Discrete time Fourier series (DFS).
Definition, Formulation, Notation and spectrum representation, Discrete time Fourier transform (DFT); Properties of DFT.
Circular convolution; Computation of DFT by Fast Fourier transform (FFT); Use of DFT and FFT for spectral estimation ?gain and phase.
Chapter 5: Finite Impulse Response (FIR) Digital Filters
Categorization of filters; LPF, HPF, BPF and Stop/Reject Band Filter.
Deduction of system response for FIR filters design using windows algorithm; optimal method for equiripple FIR filters.
Chapter 6: Infinite Impulse Response (IIR) Digital Filters
Deduction of system response for IIR filters design from analogue filters.
Frequently Asked Questions
Q1 : What is the recommended software to be used for this subject?
A1 : Matlab, Simulink
Q2 : What is the passing mark for this course?
A2 : 50%
A1 : Matlab, Simulink
Q2 : What is the passing mark for this course?
A2 : 50%