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  • Laplace transform and Theorems
    • The Laplace transform
    • Properties of Laplace transforms
    • Periodic Waveform
    • Laplace transform of various signals
    • Uses of the Laplace Transform
    • Poles and Zeros
    • Pole and Zero diagram of various Signal
    • Effect of the positions of the poles
    • System Poles and Zeros
    • Initial and Final theorem
    • Thevenin’s Theorem
    • NORTON’S THEOREM
    • Maximum power transfer
    • The System function
    • Voltage-ratio transfer function
    • Current-ratio transfer function
    • Response transform
    • Step and Impulse Response
    • The convolution integral
    • Amplitude and Phase response of Low pass Filter
    • Amplitude and Phase response-RC circuit
    • Amplitude and Phase response-Pole-Zero diagram
    • Effect of poles and zeros on frequency response
    • Bode plots
    • Bode plots for complex conjugate roots
    • Single-Tuned Circuit
    • Figure of merit of single tuned circuit
    • Time Delay
    • Relation between time delay and pole and zero
    • Network Function
    • Two port Network
    • Z-parameters
    • Z-parameter for T-network
    • Y-parameters
    • Y-parameters for pi network
    • Simplified Model of a Field Effect Transistor-Y parameters
    • h-parameters
    • h-parameters for bipolar junction transistor
    • Transmission parameters
    • Transmission parameters for Simple Impedance Network
    • Transmission parameters for Simple Admittance Network
    • Interconnection of two-port networks
    • Relation between port parameters
    • Transfer functions using two port parameters- without load and source impedances.
    • Two-port transfer functions -source or load impedances
    • Superposition theorem
    • Reciprocity Theorem

  • Signal and System
    • Signum function
    • Ramp Function
    • Signal Analysis
    • Complex Frequency
    • Network Analysis
    • Derivative property of the Network
    • Ideal models
    • Ideal elements of the Network
    • Network Synthesis
    • Synthesis of transfer functions
    • General Characteristics of the signal
    • General Description of the signal
    • Step Function
    • Unit Impulse Function
    • Properties of the Impulse Function
    • Network Elements
    • Connection of Network Element
    • Initial condition for the circuit
    • Final conditions for circuit
    • Step and Impulse Response - Series R-C circuit
    • Step and Impulse Response - parallel R-C circuit
    • Solution of the Network Equation
    • Free responses of a second-order network

  • Hurwitz polynomials and their properties
    • System Causality
    • System Stability
    • Frequency domain- stability criterion
    • Hurwitz polynomials
    • Properties of Hurwitz polynomial
    • Positive real functions
    • Properties of the positive Real function
    • Synthesis of driving-point functions
    • Properties of LC immittance functions
    • Synthesis of LC driving point immittances
    • Properties of RC driving point impedances
    • Synthesis of RC impedances or RL admittances
    • Properties of RL impedances and RC admittances
    • Synthesize of R-L impedance in ladder form
    • Synthesis of the R-L-C driving-point functions

  • Transfer function and Properties of transfer functions
    • Properties of transfer functions
    • Specific Transfer function properties of the open-circuit and short-circuit parameters
    • Zeros of transmission
    • Synthesis of Y21 and Z21 with 1Ω terminations
    • Synthesis of constant-resistance two-port networks
    • Open-circuit parameters of the bridge circuit
    • Star and Delta transformation
    • Tellegen's Theorem

  • Filters and Graph Theory
    • Analog filter
    • Parameters of a practical filter
    • Fo and Q
    • High-Pass Filter
    • Band-Pass Filter
    • Band-Reject (Notch) Filter
    • All-pass Filter
    • Graph Theory
    • Transfer Function of the Filter
    • Phase Response
    • Group delay
    • The Effect of Nonlinear Phase
    • The time domain response
    • Step Response
    • Adjacency and Incidence
    • Isomorphic Graph
    • A Graph
    • Graph Operation
    • Walks, Trails and Path of a Graph
    • Connectivity of graph
    • A Simple Connectivity Theorem
    • Cycles and Cutsets of the Graph
    • Tree,Spanning tree and Shortest route tree
    • Different types of the graph
    • Groups and fields of Graph
    • Vector Spaces
    • Vector Spaces of Graph
    • Cycle space and Cutset space of a graph
    • Fundamental cycle basis
    • Fundamental Cutset basis
    • Node Adjacency Matrix
    • Incidence Matrix
    • Directed graph and Their Matrices
    • Cutset matrix

Branch : Electrical and Electronics Engineering | Subject : Network Theory
Hurwitz polynomials and their properties
  • System Causality

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  • System Stability

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  • Frequency domain- stability criterion

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  • Hurwitz polynomials

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  • Properties of Hurwitz polynomial

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  • Positive real functions

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  • Properties of the positive Real function

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  • Synthesis of driving-point functions

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  • Properties of LC immittance functions

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  • Synthesis of LC driving point immittances

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  • Properties of RC driving point impedances

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  • Synthesis of RC impedances or RL admittances

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  • Properties of RL impedances and RC admittances

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  • Synthesize of R-L impedance in ladder form

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  • Synthesis of the R-L-C driving-point functions

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