## EC102 Circuits and Systems

### Course Name:

EC102 Circuits and Systems

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### Content:

DC Circuit Analysis - Circuit concept, circuit elements, independent and dependent sources, network reduction techniques (star-delta), network equations, node voltage and mesh current analysis, Network Theorems - Superposition, Thevenin’s and Maximum power transfer theorems. First order systems - Analysis of RL and RC circuits, representation of systems using differential equations, solution of differential equations, Transient and steady state response, time constant, initial conditions, coupled circuits. Laplace Transform: Definition and properties, inverse transforms, partial fraction expansion. Second order systems - RLC circuits, characteristic equation, damping, natural frequency, time domain specifications of systems. Transform domain analysis of circuits, equivalent sources for initial conditions, transform circuits, Impedance functions and Network Theorems, transfer function, impulse response, convolution, linear time invariant systems, poles and zeros, stability, steady state sinusoidal response. Discrete time signals - sampling of sinusoids, complex exponentials and phasor, Spectrum representation – spectrum of sum of sinusoids, Periodic signals, Fourier series representation, sinusoidal synthesis, spectrum view on sampling, aliasing, sampling theorem, reconstruction. Discrete time systems – moving average filter, general FIR filter, impulse response, implementation of FIR filter, convolution, linear time-invariant systems, frequency response of FIR systems, examples of FIR filtering in signal denoising