Network Theory
Signal and System
Laplace transform and Theorems
Hurwitz polynomials and their properties
Transfer function and Properties of transfer functions
Filters and Graph Theory
- 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
- Signum function
- Ramp 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
- 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
- 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
- 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
- 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