Signals and Systems from Basics to Advance Level

Completeness of each topic of Signals and Systems with utmost clarity

4.35 (32 reviews)
Udemy
platform
English
language
Engineering
category
instructor
Signals and Systems from Basics to Advance Level
242
students
25 hours
content
Feb 2022
last update
$54.99
regular price

What you will learn

Students can get complete in-depth knowledge of Signals & Systems

can get the knowledge of fourier series and fourier transforms

can get the knowledge of laplace transforms and z-transforms

can get the knowledge of sampling theorem

Why take this course?

Chapter - 1: Signals

==============

1.Deterministic and random signals

2.Analog and Digital Signals

3.Unit impulse Function - Elementary Signals

4.Unit step Function

5.Unit Ramp and Parabolic & Singularity Functions

6. Exponential Functions - Elementary Signals

7. Signum Function - Elementary Signals

8. Rectangular Function - Elementary Signals

9. Triangular Function - Elementary Signals

10. Sinusoidal Functions - Elementary Signals

11. Sinc & Sampling Functions - Elementary Signals

12. Periodic & Non Periodic Signals- Classification

13.Even and Odd Signals

14.Causal and Non Causal Signals

16.Rectangular Function E & P

17.Unit step Function E & P

18.Unit Ramp Function E & P

19.Power of Sinusoidal Signal

20.Effect of shifting and Scaling on E & P

21.Observation Points on E & P

22.Operations on Independent Variable of Signal

23. GATE Previous Problems with Solutions Set - 1

24. GATE Previous Problems with Solutions Set - 2


Chapter - 2: Systems

================

15. 1. Systems Classification - Linear & Nonlinear Systems

16. 2. Systems Classification - Time Variant & time Invariant Systems

17. 3. Static & Dynamic & Causal & Non Causal Systems

18. 4. Examples

19. 5. Stable & Unstable Systems

20. 6. Examples

21  7. Invertible & Non Invertible Systems

23. 9. GATE Previous Problems with Solutions Set - 1

24. 10.GATE Previous Problems with Solutions Set - 2

25. 11.GATE Previous Problems with Solutions Set - 3


Chapter - 3: Fourier Series

==================

1. Fourier Series Introduction

2.Orthogonality in Vectors

3.Orthogonality in Signals

4.Orthogonal Signal Space & Signal Approximation

5.Mean Square Error and Complete Set

6.Orthonormal Set

7.Complete Set Example - 1

8.Complete Set Example - 2

9.Orthogonality in Complex Functions

10.Full Wave Rectified signal EFS

11.Dirichlet's Conditions for Fourier Series

12.TFS and EFS Expansion Example

13.Symmetric Conditions

14.Check the Symmetry Conditions for Examples

15 GATE Previous Problems with Solutions Set - 1

16.GATE Previous Problems with Solutions Set - 2 

17.Exponentials periodic signal TFS & EFS

18.Triangular Periodic Signal TFS & EFS

19.Frequency Spectrum


Chapter - 4: Fourier Transform

=====================

1. Introduction to Fourier Transforms & Dirichlet s conditions                          

2. Fourier Transform of Unit Impulse function and One sided Exponential.   

3. Fourier Transform of Two sided Exponential.

4. Fourier Transform of Signum Function

5. Fourier Transform of Unit Step function & Sinusoidal Functions.

6. Fourier Transform of Rectangular & Sinc & Fampling Functions.

7. Fourier Transform of Triangular Function.

8. Fourier Transform of Trapezoidal Signal.

9. Linearity property of Fourier Transform   

10. Time scaling property of Fourier Transform

11. Time shifting property of Fourier Transform

12. Frequency shifting property of Fourier Transform

13. Differentiation in Time property of Fourier Transform

14. Integration in Time domain Property of Fourier Transform

15. Differentiation in Frequency domain Property of Fourier Transform

16. Conjugation Property of Fourier Transform

17. Duality Property of Fourier Transform

18. Modulation Property of Fourier Transform

19. Area Under time and Frequency Domain Signals.

20. Time Convolution Property of Fourier Transform

21. Frequency Convolution Property of Fourier Transform

22. Parseval's relation

23. Fourier Transform of Periodic Signal

24. GATE Previous Problems with Solutions Set - 1

25. GATE Previous Problems with Solutions Set - 2


Chapter - 5: Laplace Transform

=====================

1. Laplace Transform of impulse function with ROC

2. LT of unit step Function with ROC

3. LT of left side unit step Function with ROC

4. LT of Exponential Functions with ROC

5. LT of Complex Exponentials & cos and sin Functions with ROC

6. LT and ROC of both side Exponentials

7. LT and ROC of damped sin Function

8. LT and ROC of Damped cos Function

9. LT and ROC of Hyperbolic sin and cos Functions

10. Linearity Property of LT

11. Time shifting Property of LT

12. Frequency shifting Property of LT

13. Time scaling and Time Reversal Property of LT

14. Time Differentiation Property of LT

15. Differentiation in S-domain Property of LT

16. Conjugation property of LT

17. Initial and Final value Theorems of LT

18. Convolution Property of LT

19. GATE Previous Problems with Solutions Set - 1

20. Laplace Transform Example Set - 1

21. Laplace Transform Example Set - 2


Chapter - 6: Z-Transform

=================

1. Z-Transform and ROC of unit impulse and step Functions

2. ZT and ROC of u(-n) and -u(-n-1)

3. ZT and ROC of exponentials a^nu(n) and -a^nu(-n-1)

4. ZT and ROC of complex exponentials and coswn.u(n)

5. ZT and ROC of sinwn.u(n)

6. ZT Properties - Linearity

7. ZT Properties - Time shifting

8. ZT properties - Multiplication with exponential

9. ZT Properties - Time Reversal

10. ZT Properties - Time Expansion

11. ZT Properties - Differentiation in Z-Domain

12. ZT Properties - Conjugation

13. ZT Properties - Convolution

14. ZT Properties - Initial value Theorem

15. ZT Properties - Final value Theorem

16. GATE Previous Problems with Solutions Set - 1

17. GATE Previous Problems with Solutions Set - 2

18. GATE Previous Problems with Solutions Set - 3


Chapter - 7: Discrete Fourier Transform

==========================

1. DTFT(Discrete Time Fourier Transform)

2. DTFT of Impulse & Unit step Functions

3. DTFT of DT Exponential Sequence

4. DFT-Discrete Fourier Transform

5. DFT example

6. GATE Previous Problems with Solutions Set - 1

7. GATE Previous Problems with Solutions Set - 2


Chapter - 8: Sampling Theorem

=======================

33. 1. Sampling Theorem Definition.

34. 2. Nyquist Condition - NR Calcutions

35. 3. Time Domain & Frequency Domain Analysis(spectral)

36. 4. GATE Previous Problems with Solutions Set - 1


Chapter - 9: Signal Transmission Through LTI System

===================================

1.Distortionless transmission system and frequency respons

2.Impulse Response of Distortionless transmission system

3.Filter Characteristics of LTI Systems

4.Signal Bandwidth vs System Bandwidth.


Chapter - 10: Convolution & Correlation

===========================

1.Convolution & Examples

2.Convolution Graphical procedure exponential with unit step

3.Convolution Graphical procedure two rectangular signals

4.Triangular and rectangular convolution

Screenshots

Signals and Systems from Basics to Advance Level - Screenshot_01Signals and Systems from Basics to Advance Level - Screenshot_02Signals and Systems from Basics to Advance Level - Screenshot_03Signals and Systems from Basics to Advance Level - Screenshot_04

Reviews

Fred
April 27, 2023
This is the "Signals and Systems" course with calculation details. His course is generous and complete.
Kola
January 4, 2023
Very good teaching by sir. Clearly each and every point I have understood very well. I was happy to listen your classes sir. Thankyou sir for your wonderful teaching
N
January 4, 2023
Very useful course, thanks a lot sir. Excellent explanation. Please do some more courses on the electronics .
K
May 27, 2022
nice explanation of each step, especially some critical points which are not covered anywhere are explained in easily understandable manner. thank you.
Shivakumar
December 27, 2021
I scored pass marks in the S&S subject, I was afraid to attempt S&S subject questions in GATE and other competitive practice exams. After completing this course, I am able to correctly answer S&S questions.
Dasari
December 24, 2021
In this pandemic era, where you could not go out of your homes to attend a class, or the Zoom meeting or any other social platform is the only option to go for. The same was the problem for me. I had to learn signals and systems and I searched for many online teachers. I also watched youtube clips of lessons from many teachers but was not finding the best one. I got upset, then I found this great course for my GATE exam.
Krishna
December 13, 2021
convolution explained well with sufficient examples and remaining topics also excellent coverage. Probably the best course for signals and systems on UDEMY.

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4438882
udemy ID
12/10/2021
course created date
12/29/2021
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