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#### Overview

• Videos 99
• Duration 8:01:44
• Branch EEE
• Language English
##### Course Description

Defines concepts of Signals and Systems and its analysis using different transform techniques. This subject gives a basic understanding of the random processes 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

##### 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 a basic understanding of random processes 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 Approximation
1:18:48
• 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 Paley-Wiener criterion for physical realization, Problems on transfer function, Relationship between Bandwidth and Risetime, Convolution & problem
1:14:23
• 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 spectrum
1:19:10
• 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 5
1:12:41
• UNIT 2.3 Fourier Sampling: Sampling Theorem, Anti Aliasing Filter, Types Of Sampling, Impulse Sampling, Flat Top Sampling, Reconstruction Of Signal from its samples
0:17:15
• UNIT 3.1 Laplace Transforms: Laplace Transforms, Introduction, Region of Convergence (ROC), Problems, Properties of Laplace transform, Differentiation in s-domain, Integration in Time-domain, Conjugation, Convolution in time domain, Convolution in s-domain, 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 Synthesis
1:14:16
• UNIT 3.2 Z - Transforms: Z-TRANSFORMS, Discrete time complex exponential, Periodicity of discrete time complex exponential, Introduction To Z- Transforms, Concept of Region Of Convergence (ROC), Properties of Z-Transforms, Properties of Z-Transforms - part 2, Properties of Z-Transforms - part 3, Properties of Z-Transforms - part 4, Inverse Z - transform - part 1, Inverse Z - transform - part 2, Inverse Z - transform - part 3
1:25:11

#### Instructor

###### Ms. Sangeeta Singh M. Tech, (Ph. D)

Sangeetha has more than a decade of experience in teaching. She is currently working as an Assistant Professor at Vardhaman College of Engineering in Hyderabad. Her areas of interest are signals, VLSI, Digital Logic Design, and Analog Communications. She has also authored several national and international papers in the International Journal of Engineering Research and Technology. Her submission on "Area and Power Efficient Self-Checking Modulo 2n+1 Multiplier" has won accolades at the International Journal of Computer Applications.