Overview
 Units 7
 Duration 8:01:44
 Branch EEE
 Language English
Course Description
Defines concepts of Signals and Systems and its analysis using different transform techniques. This course gives basic understanding of random process which is essential for random signals and systems encountered in Communications and Signal Processing areas.
Recommended For
B.E/B.Tech Electrical and Electronics Engineering
University
Learning Outcomes
 This gives the basics of Signals and Systems required for all Electrical Engineering related courses.
 This gives concepts of Signals and Systems and its analysis using different transform techniques.
 This gives basic understanding of random process which is essential for random signals and systems encountered in Communications and Signal Processing areas.
Curriculum


UNIT 1.1 Signal Analysis: Inrtoduction, Standard Signals, Standard Signals & Signal Operations, Signal Operations & Problem, Problems on signals, Analogy between vectors and signals, Orthogonal vector and signal space, Approximation of function by a set of mutually orthogonal functions, Mean Square Error, Closed or Complete Set of Mutually Orthogonal Functions, Orthogonality in Complex Functions, Problem on Signal Approximation1:18:48



UNIT 1.2 Signal Transmission Through LTI System: Signal Transmission Through LTI System, Classification of systems, Example of Linear & Non linear systems, Example 2 Linear & non linear, Time invariant (TIV) and Time variant(TV), Problem for TIV & TV, Causal and non  causal, Stable and unstable systems Part  1, Stable and unstable systems Part  2, Problem for stable and unstable systems, Method to check for stability of a system, Impulse Response, LTI System, Transfer function of an LTI System part 1, Transfer function of an LTI System part 2, Filter characteristics of linear system, Distortionless Transmission, Signal Bandwidth & System Bandwidth, Ideal Filter Characteristics, Ideal LPF, Causality and PaleyWiener criterion for physical realization, Problems on transfer function, Relationship between Bandwidth and Risetime, Convolution & problem1:14:23



UNIT 2.1 Fourier Series: Fourier Series, Introduction, Representation of Fourier Series, Dirichlet's Conditions, Trignometric Fourier Series  part 1, Trignometric Fourier Series  part 2, Evaluation of fourier coefficients  part 1, Evaluation of fourier coefficients  part 2, Alternate form of Transfer Function System, calculation of fourier coefficients for even and odd functions, Exponential Fourier Series, Relation between TFS and EFS, Properties of fourier series  part 1, Properties of fourier series  part 2, Properties of fourier series  part 3, Complex fourier spectrum1:19:10



UNIT 2.2 Fourier Transforms: Fourier Transforms, Conditions for existence of Fourier Transform, Fourier Transform of standard signals  part 1, Fourier Transform of standard signals  part 2, Fourier Transform of standard signals  part 3, Fourier Transform of standard signals  part 4, Properties of Fourier Transform  part 1, Properties of Fourier Transform  part 2, Properties of Fourier Transform  part 3, Properties of Fourier Transform  part 4, Properties of Fourier Transform  part 51:12:41



UNIT 2.3 Fourier Sampling: Sampling Theorem, Anti Aliasing Filter, Types Of Sampling, Impulse Sampling, Flat Top Sampling, Reconstruction Of Signal from its samples0:17:15



UNIT 3.1 Laplace Transforms: Laplace Transforms, Introduction, Region of Convergence (ROC), Problems, Properties of Laplace transform, Differentiation in sdomain, Integration in Timedomain, Conjugation, Convolution in time domain, Convolution in sdomain, Laplace Transform of useful functions, Relation between Fourier Transform and Laplace Transform, Analysis Of LTI System, Inverse Laplace Transform, Problem, Problem 2, Problem 3, Waveform Synthesis1:14:16



UNIT 3.2 Z  Transforms: ZTRANSFORMS, Discrete time complex exponential, Periodicity of discrete time complex exponential, Introduction To Z Transforms, Concept of Region Of Convergence (ROC), Properties of ZTransforms, Properties of ZTransforms  part 2, Properties of ZTransforms  part 3, Properties of ZTransforms  part 4, Inverse Z  transform  part 1, Inverse Z  transform  part 2, Inverse Z  transform  part 31:25:11

Instructor
Ms. Sangeeta Singh M. Tech, (Ph. D)
Sangeeta has more than decade of experience in teaching. She is currently working as Assistant Professor at Vardhaman College of Engineering, Hyderabad. Her areas of interest are Signals, VLSI Digital Logic Design and Analog Communications. She has authored several national and international papers in International Journal of Engineering Research and Technology. Her Submission on “Area and Power Efficient SelfChecking Modulo 2n +1 Multiplier” won accolades at International Journal of Computer Applications.