Signals and System (CUTM4341)

Teacher

Dr. Ribhu Abhusan Panda

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Introduction: The Signals and Systems course is a foundational subject in electrical, electronics, and communication engineering. It introduces students to the fundamental concepts of analyzing and understanding signals, systems, and their interaction in both continuous and discrete time domains. This course equips students with essential tools and techniques, such as Fourier transforms, Laplace transforms, Z-transforms, and MATLAB simulations, to study and design systems used in signal processing, communication, control, and other engineering applications.
Course Objective: ·         Introduce the student to the idea of signals, system analysis and its characterization. ·         Provide a foundation to numerous other courses that deal with signal and system concepts directly or indirectly: viz: communication, control, instrumentation etc. ·         To provide hand on experience of signal & and system techniques using MATLAB
Course Outcomes:
COs Course outcomes
CO1 Understand and classify various types of signals and systems, including continuous-time and discrete-time, periodic and aperiodic, and causal and non-causal signals
CO2 Analyze the time-domain response of Linear Time-Invariant (LTI) systems using mathematical equations, block diagrams, signal flow graphs, and convolution techniques
CO3 Apply Fourier Series and Fourier Transform techniques to evaluate the frequency-domain representation of continuous-time and discrete-time signals and interpret their properties.
CO4 Evaluate system stability and performance in the s-domain and z-domain using Laplace and Z-transform methods, including their properties and inversions
CO5 Design and implement discrete-time systems described by difference equations and analyze their correlation properties, ensuring stability and proper interconnection.
PSO1 Graduates will  apply  their  learning  outcome  of  the program creatively  and productively in the fields of Embedded Systems, VLSI, and Communication Systems
PSO2 Solving real-life problems, design and develop novel products that are technically sound, economically feasible, and socially acceptable
PSO3 Add value to interdisciplinary areas in providing solutions in agriculture, manufacturing, and security services
     
CO, PO Mapping Matrix
CO/PO PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 PSO1 PSO2 PSO3
CO1 3 2 2 2
CO2 3 3 2 2
CO3 2 2 3 2 2
CO4 3 2 2 2
CO5 3 3 2 2
 

Syllabus

MODULE – I (6 Hours+4 Hours) Continuous-Time Signals and Systems: Continuous and discrete time signals: Some Elementary Continuous-time and Discrete-Time signals. Classification of Signals – Periodic and a periodic even – odd – energy and power signals – Deterministic and random signals – Causal and non causal signals and anti causal signals -- complex exponential and sinusoidal signals ---Simple Manipulations of Continuous and discrete time signals Practice:
  1. Generate and plot elementary continuous-time and discrete-time signals (sinusoidal, exponential, step, impulse, and ramp) using MATLAB.
  2. Perform basic signal manipulations: time scaling, time shifting, and amplitude scaling
MODULE – II (6 Hours+ 4 Hours) Continuous-Time Systems: Continuous-Time Systems: Mathematical equation governing LTI Continuous-Time systems, Block diagram and signal flow graph representation, response of LTI Continuous-Time system in time domain, classification of Continuous-Time systems, convolution of Continuous-Time signals. Practice:
  1. Classify given signals as periodic/aperiodic, even/odd, energy/power signals, and deterministic/random using MATLAB
  2. Convolution of Continuous-Time Signals Using MATLAB
MODULE – III (6 Hours+ 4 Hours) Discrete-Time Signals and Systems: Input-Output Description, Block Diagram Representation, Classification, Interconnection; Analysis of Discrete-Time LTI Systems: Techniques, Response of LTI Systems, Properties of Convolution, Causal LTI Systems, Stability of LTI Systems; Discrete-Time Systems Described by Difference Equations; Implementation of Discrete-Time Systems; Correlation of Discrete-Time Signals: Cross correlation and Autocorrelation Sequences, Properties Practice:
  1. Analyse discrete-time Linear Time-Invariant (LTI) systems by studying their input-output behavior, block diagram representation, and properties like causality and stability using MATLAB
  2. Simulate the response of LTI discrete-time systems to various inputs (impulse, step, sinusoidal) and plot the results
MODULE – IV (6 Hours+4 Hours) The Continuous-Time Fourier Series and Fourier Transform: Basic Concepts and Development of the Fourier series, Calculation of the Fourier Series, Properties of the Fourier Series. The Continuous-Time Fourier Transform: Basic Concepts and Development of the Fourier Transform, Properties of the Continuous-Time Fourier Transform. Discrete-time Fourier series Practice:
  1. Compute and visualize the Fourier series coefficients of a periodic continuous-time signal.
  2. Compute and plot the Fourier transform of a given aperiodic signal. Analyse the amplitude and phase spectra
MODULE – V (5 Hours+4 Hours) Discrete time Fourier transform (DTFT) : The discrete time Fourier transform of Aperiodic signal, Convergence of Fourier transform, the Fourier transform of signal with poles on unit circle, frequency domain and time domain signal properties, properties of DTFT. Practice:
  1. Compute the DTFT of a given discrete-time signal and study its properties (time and frequency domain characteristics).
MODULE- VI (5 Hours+ 2 Hours) The Laplace transforms and its application to system analysis: The Laplace Transform: Laplace Transform as a generalization of FT, Region of convergence, properties of Laplace transform, poles and zeros of rational functions of s, Inverse Laplace transform by partial fraction method and convolution method, Analysis of LTI Continuous-Time system, stability in s-domain, Practice:
  1. Simulate and analyze the Laplace transform of continuous-time signals. Perform inverse Laplace transformations using MATLAB
MODULE- VII (5 Hours+ 4 Hours) The Z-Transform and Its Application to the Analysis of LTI Systems: The Z-Transform: The Direct Z-Transform, The Inverse Z-Transform; Properties of the Z-Transform; Rational Z-Transforms: Poles and Zeros, Pole Location and Time-Domain Behavior for Causal Signals, The System Function of a Linear Time-Invariant System; Inversion of the Z-Transforms: The Inversion of the Z-Transform by Power Series Expansion, The Inversion of the Z-Transform by Partial-Fraction Expansion; The One-sided Z-Transform: Definition and Properties, Solution of Difference Equations. Practice:
  1. Evaluation of Z-transform of discrete-time signals.
  2. Analyze the properties of Z-transform and solve difference equations using MATLAB.
  Text Books:
  1. Signals and Systems--- Alan V. Oppenheim and Alan S. Willsky, PHI
  2. Signals and Systems – A Nagoor Kani, TMH
Reference Books:
  1. Digital Signal Processing – Principles, Algorithms and Applications by J. G. Proakis and D. G. Manolakis, 4th Edition, Pearson.
  2. Fundamentals of Signals and Systems - M. J. Roberts, TMH
 

Session Plan

Session 1

Continuous-Time and Discrete-Time Signals https://www.youtube.com/watch?v=H4hk6N5vC1Q&pp=ygUpQ29udGludW91cy1UaW1lIGFuZCBEaXNjcmV0ZS1UaW1lIFNpZ25hbHM%3D

Session 2

Classification of Signals: Periodic, Aperiodic, Even, Odd https://www.youtube.com/watch?v=Gj9pDC_OBQU&pp=ygU5Q2xhc3NpZmljYXRpb24gb2YgU2lnbmFsczogUGVyaW9kaWMsIEFwZXJpb2RpYywgRXZlbiwgT2Rk  

Session 3

Energy, Power, Deterministic, and Random Signals https://www.youtube.com/watch?v=zaY7C1clVec&pp=ygUwRW5lcmd5LCBQb3dlciwgRGV0ZXJtaW5pc3RpYywgYW5kIFJhbmRvbSBTaWduYWxz

Session 4

Causal, Non-Causal, and Complex Signals https://www.youtube.com/watch?v=mqwUtn5cip8&pp=ygUnQ2F1c2FsLCBOb24tQ2F1c2FsLCBhbmQgQ29tcGxleCBTaWduYWxz

Session 5:

Causal, Non-Causal, and Complex Signals YouTube Link: https://www.youtube.com/watch?v=example5

Session 6:

Manipulation of Continuous-Time Signals YouTube Link: https://www.youtube.com/watch?v=example6

Session 7:

Manipulation of Discrete-Time Signals YouTube Link: https://www.youtube.com/watch?v=example7

Session 8:

Basic Signal Manipulations (Time Scaling, Shifting, Amplitude Scaling) YouTube Link: https://www.youtube.com/watch?v=example8

Session 9:

Mathematical Model of LTI Continuous-Time Systems YouTube Link: https://www.youtube.com/watch?v=example9

Session 10:

Block Diagram and Signal Flow Representation YouTube Link: https://www.youtube.com/watch?v=example10

Session 11:

Time-Domain Response of LTI Continuous-Time Systems YouTube Link: https://www.youtube.com/watch?v=example11

Session 12:

Classification of Signals using MATLAB YouTube Link: https://www.youtube.com/watch?v=example12

Session 13:

Convolution of Continuous-Time Signals YouTube Link: https://www.youtube.com/watch?v=example13

Session 14:

Convolution of Continuous-Time Signals (Contd.) YouTube Link: https://www.youtube.com/watch?v=example14

Session 15:

Classification of Continuous-Time Systems YouTube Link: https://www.youtube.com/watch?v=example15

Session 16:

Convolution of CT Signals using MATLAB YouTube Link: https://www.youtube.com/watch?v=example16

Session 17:

Discrete-Time Systems: Input-Output and Block Diagram YouTube Link: https://www.youtube.com/watch?v=example17

Session 18:

Analysis of Discrete-Time LTI Systems YouTube Link: https://www.youtube.com/watch?v=example18

Session 19:

Properties and Stability of Causal LTI Systems YouTube Link: https://www.youtube.com/watch?v=example19

Session 20:

MATLAB Analysis of Discrete-Time LTI Systems YouTube Link: https://www.youtube.com/watch?v=example20

Session 21:

Discrete-Time Systems by Difference Equations YouTube Link: https://www.youtube.com/watch?v=example21

Session 22:

Solution of Discrete-Time Systems by Difference Equations YouTube Link: https://www.youtube.com/watch?v=example22

Session 23:

Correlation of Discrete-Time Signals YouTube Link: https://www.youtube.com/watch?v=example23

Session 24:

MATLAB Simulation of LTI DT Systems YouTube Link: https://www.youtube.com/watch?v=example24

Session 25:

Fourier Series: Basics and Calculation YouTube Link: https://www.youtube.com/watch?v=example25

Session 26:

Properties of Fourier Series YouTube Link: https://www.youtube.com/watch?v=example26

Session 27:

Fourier Transform: Basics and Development YouTube Link: https://www.youtube.com/watch?v=example27

Session 28:

MATLAB – Fourier Series Coefficients YouTube Link: https://www.youtube.com/watch?v=example28

Session 29:

Properties of Continuous-Time Fourier Transform YouTube Link: https://www.youtube.com/watch?v=example29

Session 30:

Properties of Continuous-Time Fourier Transform (Contd.) YouTube Link: https://www.youtube.com/watch?v=example30

Session 31:

Discrete-Time Fourier Series YouTube Link: https://www.youtube.com/watch?v=example31

Session 32:

MATLAB – Fourier Transform of Aperiodic Signals YouTube Link: https://www.youtube.com/watch?v=example32

Session 33:

DTFT of Aperiodic Signals YouTube Link: https://www.youtube.com/watch?v=example33

Session 34:

Convergence and Poles on Unit Circle YouTube Link: https://www.youtube.com/watch?v=example34

Session 35:

Frequency and Time Domain Properties YouTube Link: https://www.youtube.com/watch?v=example35

Session 36:

Properties of DTFT YouTube Link: https://www.youtube.com/watch?v=example36

Session 37:

Laplace Transform: Basics and ROC YouTube Link: https://www.youtube.com/watch?v=example37

Session 38:

MATLAB – DTFT of Signals YouTube Link: https://www.youtube.com/watch?v=example38

Session 39:

Properties and Inverse Laplace Transform YouTube Link: https://www.youtube.com/watch?v=example39

Session 40:

Analysis of LTI Systems in s-Domain YouTube Link: https://www.youtube.com/watch?v=example40

Session 41:

Analysis of LTI Systems in s-Domain (Contd.) YouTube Link: https://www.youtube.com/watch?v=example41

Session 42:

MATLAB – Image Brightness & Contrast Enhancement YouTube Link: https://www.youtube.com/watch?v=example42

Session 43:

Stability in s-Domain YouTube Link: https://www.youtube.com/watch?v=example43

Session 44:

Z-Transform YouTube Link: https://www.youtube.com/watch?v=example44

Session 45:

Evaluation of ROCs and Z-Transform YouTube Link: https://www.youtube.com/watch?v=example45

Session 46:

MATLAB – Laplace Transform Simulation YouTube Link: https://www.youtube.com/watch?v=example46

Session 47:

Properties of Z-Transform YouTube Link: https://www.youtube.com/watch?v=example47

Session 48:

Inverse Z-Transform YouTube Link: https://www.youtube.com/watch?v=example48

Session 49:

Solution of Discrete-Time Systems using Z-Transform YouTube Link: https://www.youtube.com/watch?v=example49

Session 50:

MATLAB – Evaluation of Z-Transform YouTube Link: https://www.youtube.com/watch?v=example50

Session 51:

Poles, Zeros, and Time-Domain Behavior YouTube Link: https://www.youtube.com/watch?v=example51

Session 52:

MATLAB – Z-Transform Properties & Difference Equations YouTube Link: https://www.youtube.com/watch?v=example52

 

Our Main Teachers

Dr.Ribhu Abhusan Panda has completed M.Tech and Ph.D from V.S.S.U.T Burla. He is currently working as Assistant Professor in Department of Electronics and Communication Engineering , SoET, CUTM. His research area includes microstrip patch antenna design and analysis. He has published more than 30 articles in Scopus , SCI and other peer reviewed journals. He has […]

Satyanrayan Padhy

Assistant Professor, Department of ECE , SoET
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Satyanarayan Padhy currently working as Assistant Professor in the Department of Electronics and Communication Engineering at Centurion University of Technology and Management, Odisha. His research interests include Digital System Design,Signal Processing and Controller design for power converters. He has received his M.Tech from NIT, Allahabad, India in the Year 2013 and Currently Pursuing his PhD. […]