Signals and Systems : From Basics

Course Curriculum

Chapter 1: Introduction to Signals

Lecture 1: Basic discrete time signals part – 1

Lecture 2: Basic discrete time signals part – 2

Lecture 3: Accumulation and First difference of a discrete time signal

Lecture 4: Time scaling of a discrete time signal part – 1

Lecture 5: Time scaling of a discrete time signal part – 2

Lecture 6: Time scaling of a unit impulse

Lecture 7: Problem on discrete time shifting, scaling and reversal

Lecture 8: Discrete time convolution part – 1

Lecture 9: Discrete time convolution part – 2

Lecture 10: Energy and power of discrete time aperiodic signal part – 1

Lecture 11: Energy and power of discrete time aperiodic signal part – 2

Lecture 12: Discrete time periodic signals part – 1

Lecture 13: Discrete time periodic signals part – 2

Lecture 14: Energy and power of discrete time periodic signal

Lecture 15: Power of a discrete time sinusoidal signal

Lecture 16: Basic continuous time signals part – 1

Lecture 17: Basic continuous time signals part – 2

Lecture 18: Signal transformations

Lecture 19: Identifying the relationship between two signals

Lecture 20: Properties of unit impulse

Lecture 21: Convolution part – 1

Lecture 22: Convolution part – 2

Lecture 23: Convolution part – 3

Lecture 24: Convolution part – 4

Lecture 25: Representation of a staircase signal using unit step signals

Lecture 26: Representation of a triangular signal using unit ramp signals

Lecture 27: Representation of a signal using unit step and ramp signals

Lecture 28: even signal, odd signal, conjugate symmetric signal, conjugate antisymmetric sig

Lecture 29: Finding period and fundamental frequency of a signal which is sum of sinusoids

Lecture 30: Energy and Power for periodic and aperiodic signals

Lecture 31: Example Problems on energy and power of a aperiodic signal

Lecture 32: Example Problem on finding RMS value of a periodic signal

Lecture 33: Power of a continuous time sinusoidal signal

Lecture 34: Example Problem on periodic signals

Lecture 35: Example Problem

Lecture 36: Example Problem on Energy

Lecture 37: Example Problem on Energy

Lecture 38: Example Problem

Chapter 2: Laplace Transform

Lecture 1: Laplace transform of a decaying exponential signal

Lecture 2: LT and ROC of a right sided signal, part – 1

Lecture 3: LT and ROC of a right sided signal, part – 2

Lecture 4: LT and ROC of a left sided signal

Lecture 5: LT and ROC of a two sided signal

Lecture 6: Properties of ROC

Lecture 7: LT of staircase signals (short cut)

Lecture 8: LT of a triangular signal (short cut)

Lecture 9: LT of a trapezoid signal (shortcut)

Lecture 10: Example Problem

Lecture 11: Example Problem based on time shifting property

Lecture 12: Laplace Transform of a causal periodic signal

Lecture 13: Example Problem on Laplace Transform of a causal periodic signal

Lecture 14: Time scaling and time reversal properties

Lecture 15: Shifting in the S – domain property and conjugation property

Lecture 16: Convolution in time domain property

Lecture 17: Differentiation in S – domain property

Lecture 18: Integration in S – domain property

Lecture 19: Time differentiation, time integration and multiplication in time domain

Lecture 20: initial value theorem and final value theorem

Lecture 21: Standard Laplace transforms

Lecture 22: Relationship between ROC of LT and existence of FT

Lecture 23: Example Problem

Lecture 24: Example Problem

Lecture 25: Example Problem on frequency integration property

Lecture 26: Difference between unilateral LT and bilateral LT

Lecture 27: Properties of unilateral LT

Chapter 3: Z – TRANSFORM

Lecture 1: Relationship between Z-Transform and Laplace Transform

Lecture 2: Important points on variable Z.

Lecture 3: Relationship between S-plane and Z-plane.

Lecture 4: Z-Transform of a^n u(n)

Lecture 5: Z-Transform of cos (ωn)u(n), sin(ωn)u(n)

Lecture 6: Z- Transform of a^n u(-n-1)

Lecture 7: Z – Transform of some standard signals

Lecture 8: ROC of a Right sided signal

Lecture 9: ROC of a Left sided signal

Lecture 10: Z – Tranform and ROC of a two sided signal

Lecture 11: Z – Transform and ROC of a double exponential

Lecture 12: ROC of a Two sided signal

Lecture 13: Properties of ROC

Lecture 14: Z – Transform of Unit impulse

Lecture 15: Time shifting property of Z – Transform | Part 1

Lecture 16: Time shifting property of Z – Transform | Part 2

Lecture 17: Convolution in time domain property of Z – Transform | Part 1

Lecture 18: Convolution in time domain property of Z – Transform | Part 2

Lecture 19: Accumulation property of Z – Transform

Lecture 20: Differentiation in Z – domain property

Lecture 21: Scaling in Z – domain property

Lecture 22: Time reversal, Conjugation and Time expansion properties

Lecture 23: Initial value theorem

Lecture 24: Final value theorem

Lecture 25: Problem on Inverse Z – Transform

Lecture 26: Problem on Inverse Z – Transform

Lecture 27: Problem on Inverse Z – Transform

Lecture 28: Problem on Inverse Z – Transform

Lecture 29: Problem on Inverse Z – Transform

Lecture 30: Example Problem on ROC

Lecture 31: Example Problem on First difference

Lecture 32: Example Problem on Time shifting and Convolution