Embedded Files
“If you want to find the secrets of the universe, think in terms of energy, frequency and vibration.” ― Nikola Tesla
S&S _LECTURE_01 on (Signals & Systems)
_ _ _ Signal
Continuous-time Signals, Discrete-time Signals, Energy Signals, Power Signals
_ _ _ Important class of signal transformations that involve simple modification
of the independent variable
S&S _LECTURE_02 on (Signals & Systems)
S&S LECTURE 02 on (Signals & Systems):-
_ _ _ Periodic signals (in continuous-time and discrete-time domain)
_ _ _ Even and Odd signals (in continuous-time and discrete-time domain)
_ _ _ Continuous-time complex exponential and sinusoidal signals
Real exponential signals
Periodic complex exponential and sinusoidal signals
Harmonics related to complex exponentials
General complex exponential signals
S&S _LECTURE_03 on (Signals & Systems)
S&S LECTURE 03 on (Signals & Systems):-
_ _ _ Discrete-time complex exponential and sinusoidal signals/sequences
Real exponential signals
Periodic complex exponential and sinusoidal signals
General complex exponential signals
Comment about the periodicity properties of discrete-time complex exponentials
Harmonics related to complex exponentials
_ _ _ Unit-impulse and Unit-step functions in discrete-time domain
S&S _LECTURE_04 on (Signals & Systems)
S&S LECTURE 04 on (Signals & Systems):-
_ _ _ Continuous-time Unit-impulse and Unit-step functions
_ _ _ Continuous-time and Discrete-time systems
_ _ _ Interconnection of systems
S&S _LECTURE_05 on (Signals & Systems)
S&S LECTURE 05 on (Signals & Systems):-
_ _ _ Basic system properties
Systems with and without memory
Invertibility and Inverse systems
Causality
Stability
Linearity
S&S _LECTURE_06 on (Signals & Systems)
S&S LECTURE 06 on (Signals & Systems):-
_ _ _ Time-invariance
_ _ _ Linear-time-invariant-systems (LTI-systems)
_ _ _ Discrete-time LTI systems
Representation of discrete-time signals in terms of impulses
Discrete-time unit-impulse response and
Convolution-sum representation of LTI systems
S&S _LECTURE_07 on (Signals & Systems)
S&S LECTURE 07 on (Signals & Systems):-
_ _ _ Continuous-time LTI systems
Representation of continuous-time signals in terms of impulses
Continuous-time unit-impulse response and
Convolution-integral representation of LTI systems
_ _ _ Properties of linear-time-invariant systems
_ _ _ LTI systems with and without memory
_ _ _ Invertibility of LTI system
S&S _LECTURE_08 on (Signals & Systems)
S&S LECTURE 08 on (Signals & Systems):-
_ _ _ Causality for LTI systems
_ _ _ Stability for LTI system
_ _ _ Unit-step response of an LTI system
_ _ _ Causal LTI systems described by differential and difference equations
_ _ _ Block diagram representation of first-order systems
S&S _LECTURE_9.1 on (Signals & Systems)
S&S LECTURE 9.1 on (Signals & Systems):-
_ _ _ Response of LTI systems to complex-exponentials
Complex-exponentials are indeed eigen-functions of LTI systems
_ _ _ Fourier-series representation of continuous-time periodic signals
S&S _LECTURE_9.2 on (Signals & Systems)
S&S LECTURE 9.2 on (Signals & Systems):-
_ _ _ Determination of continuous-time Fourier-series representation
of periodic signals
_ _ _ Convergence of the Fourier-series
S&S _LECTURE_10.1 on (Signals & Systems)
S&S LECTURE 10.1 on (Signals & Systems):-
_ _ _ Important properties of continuous-time Fourier-series
_ _ _ Parseval’s relation for continuous-time periodic signals
_ _ _ Fourier-series representation of discrete-time periodic signals
S&S _LECTURE_10.2 on (Signals & Systems)
S&S LECTURE 10.2 on (Signals & Systems):-
_ _ _ Determination of discrete-time Fourier-series representation
of periodic signals
_ _ _ Important properties of discrete-time Fourier-series
_ _ _ Parseval’s relation for discrete-time periodic signals
_ _ _ Fourier-series and LTI systems
S&S _LECTURE_11 on (Signals & Systems)
S&S LECTURE 11on (Signals & Systems):-
_ _ _ Continuous-time Fourier-transform
Development of the Fourier-transform representation of an aperiodic signal
_ _ _ Convergence of Fourier-transform
S&S _LECTURE_12 on (Signals & Systems)
S&S LECTURE 12 on (Signals & Systems):-
_ _ _ Continuous-time Fourier-transform for periodic signals
_ _ _ Properties of continuous-time Fourier-transform
_ _ _ Parseval’s relation
_ _ _ Systems characterized by linear constant-coefficient differential equations
and CTFT
S&S _LECTURE_13 on (Signals & Systems)
S&S LECTURE 13 on (Signals & Systems):-
_ _ _ Sampling Process
Ideal sampling
Natural sampling
Flat-top sampling
_ _ _ Quantization-Process and Quantization-noise
S&S _LECTURE_14 on (Signals & Systems)
S&S LECTURE 14 on (Signals & Systems):-
_ _ _ Discrete-time Fourier-transform (DTFT)
_ _ _ Convergence issues associated with DTFT
_ _ _ Discrete-time Fourier-transform for periodic signals
S&S _LECTURE_15 on (Signals & Systems)
S&S LECTURE 15 on (Signals & Systems):-
_ _ _ Properties of the Discrete-time Fourier-transform
_ _ _ Parseval’s theorem
_ _ _ Systems characterized by linear constant-coefficient
difference-equations and DTFT
S&S _LECTURE_16 on (Signals & Systems)
S&S LECTURE 16 on (Signals & Systems):-
_ _ _ Correlation of discrete-time signals
Cross-correlation and Auto-correlation sequences
_ _ _ Properties of Cross-correlation and Auto-correlation sequences
_ _ _ Correlation of periodic sequences
_ _ _ input-output correlation sequences
_ _ _ Basic equation of Circular-convolution
_ _ _ Introduction to Laplace transform and Inverse-Laplace transform
S&S _LECTURE_17 on (Signals & Systems)
S&S LECTURE 17 on (Signals & Systems):-
_ _ _ The z-transform, and examples
_ _ _ The region of convergence (ROC) for the z-transform
_ _ _ The inverse z-transform details
S&S _LECTURE_18 on (Signals & Systems)
S&S LECTURE 18 on (Signals & Systems):-
_ _ _ The inverse z-transform methods, and examples
_ _ _ Properties of the z-transform, and examples
_ _ _ The initial-value theorem
S&S _LECTURE_19 on (Signals & Systems)
S&S LECTURE 19 on (Signals & Systems):-
_ _ _ Analysis and characterization of LTI systems using the z-transform
>>> Causality
>>> Stability
_ _ _ LTI systems characterized by linear constant-coefficient difference-equation
_ _ _ Block diagram representation for LTI systems
described by difference equations and rational system functions
S&S _LECTURE_20 on (Signals & Systems)
S&S LECTURE 20 on (Signals & Systems):-
_ _ _ Brief introduction to z-transform
_ _ _ Brief introduction to continuous-time Fourier-transform (CTFT)
_ _ _ Brief introduction to discrete-time Fourier-transform (DTFT)
_ _ _ Introduction to discrete-Fourier-transform (DFT)
S&S _LECTURE_21 on (Signals & Systems)
S&S LECTURE 21 on (Signals & Systems):-
_ _ _ DFT as a linear transformation
_ _ _ Some useful properties of DFT
_ _ _ Multiplication of two DFTs in the frequency-domain,
and the concept of “circular-convolution” in discrete-time domain
S&S _LECTURE_22 on (Signals & Systems)
S&S LECTURE 22 on (Signals & Systems):-
_ _ _ Circular-convolution calculations through DFT/IDFT pair
_ _ _ Some useful properties of DFT
_ _ _ Circular correlation, and Parseval’s theorem
_ _ _ Multiplication of two sequences in discrete-time domain,
and the concept of “circular-convolution” in frequency-domain
S&S _LECTURE_23 on (Signals & Systems)
S&S LECTURE 23 on (Signals & Systems):-
_ _ _ Fast Fourier Transform Algorithms (FFT) for the efficient computation of DFT
Basics of divide-and-conquer approach for DFT computation
_ _ _ Radix-2 FFT algorithm
Radix-2 FFT algorithm with decimation-in-time approach
S&S _LECTURE_24 on (Signals & Systems)
S&S LECTURE 24 on (Signals & Systems):-
_ _ _ Radix-2 FFT algorithm with decimation-in-frequency approach
_ _ _ Brief details about Radix-4 FFT algorithm
S&S _LECTURE_25 on (Signals & Systems)
S&S LECTURE 25 on (Signals & Systems):-
_ _ _ DCT and DST - A Brief Introduction
Discrete-Cosine-transform (DCT), and its inverse
Discrete-Sine-transform (DST), and its inverse
Special Cases:---
Self-effort:---
Page updated
Google Sites
Report abuse