Networks, signals and systems form the basic foundations of electrical engineering. Any electrical engineering product handles signals using electrical networks and circuits, which are called systems. Having a good understanding of signals and their time/frequency domain characterization is an absolute must for any electrical engineer. This course ...
Networks, signals and systems form the basic foundations of electrical engineering. Any electrical engineering product handles signals using electrical networks and circuits, which are called systems. Having a good understanding of signals and their time/frequency domain characterization is an absolute must for any electrical engineer. This course ...
Functions in circuits - constant and sinusoidal functions
26mFunctions in circuits - Exponential function
22mComplex numbers and other topics
10mSystems, Signals, Networks
10mRepresentation and Classification of Systems
26mLinear systems
13mTime-invariance and causality
13mSignals, Elementary continuous signals
17mComplex frequencies of signals
13mDiscontinuous signals - step, ramp
26mUnit impulse or delta function
12mBasic discrete-time signals
6mWeek 1 Solutions
51mExamples of Signals
14mIntroduction to Systems, Complementary Functions, Initial Conditions
33mSpecial initial conditions
33mCharacterization of a linear system
26mImpulse Response
13mEvaluating the Convolution Integral
21mWorked-out Problems
21mHints for Assignment 2
19mIntroduction and Motivation
37mEvaluating Fourier series coefficients
13mSymmetry conditions
27mSymmetry Condition Examples
19mApplication to Network Analysis
19mHints for Assignment 3
34mExponential Fourier Series
27mFrequency Spectrum
16mExamples
35mSignal Power and Related Ideas
35mConvergence of Fourier Series
12mAdditional Properties of Fourier Series
8mExercises on Fourier Series
8mLab Demo
13mFrom Fourier Series to Fourier Transform
37mContinuous Time Fourier Transform
13mFourier Transform Examples
28mExamples and Some Properties of Fourier Transform
21mProperties of Fourier Transform (contd.)
21mMore Fourier Transform Properties
27mEnergy Considerations
12mEnergy Considerations II
9mHelpful Relationships for Inverse Fourier Transform
16mFourier transform of signals that are not absolutely integrable
12mFourier Transform of Periodic Signals, Unit Step and Signum Function
35mTruncated Sine wave and Convolution properties
15mIntegration in Time domain
24mApplication of continuous-time Fourier transform to system analysis
27mComments about transient analysis
27mSampling Theorem and Exercises on Fourier Transforms
14mIntroduction to Laplace Transform
38mLaplace transforms of important functions
11mRecap, Poles / Zeros and Laplace Transform Notation
12mProperties: Linearity, differentiation in the time domain
12mApplication and properties of Laplace transform
28mMore properties of Laplace transform: Shift in frequency domain
12mMore properties of Laplace transform
37mProperties: Division by??t Initial value theorem, Final value theorem
37mProperties: Convolution in time domain
37mComplex convolution and periodic functions
13mExamples of Laplace transform
29mLaplace transform examples
20mInverse Laplace transform
16mPartial fractions: general case
16mInverse Laplace Transform and Contour Integration
5mRelating Fourier and Laplace Transform
9mExercises
9mApplications of Laplace transform to network transients
12mLaplace transform for resistor and system analysis
36mLaplace transform method for mutual inductance
15mMutual Inductance Continued
15mExamples and Advantages of L-transform
24mGeneral LTI systems and more about H(s)
37mMany facets of the system function (contd)
17mFrequency response and stability
17mFull circuit example
19mExercises.
16m