Electronics & Telecommunication Engineering(4th Sem.)
Signals & Systems__________________________________1. Unit-1
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Signals & Systems SyllabusUNIT – I CLASSIFICATION OF SIGNALS & SYSTEMS: Classification of Signals: Continuous Time signals: Definition and expressions of Unit step, Ramp, Unit Impulse, Complex Exponential, General complex exponential, Real exponential, Sinusoidal signal. Discrete time signal: Unit sample sequence, Unit step sequence, Unit ramp sequence, Exponential sequence. Representation of discrete time signals: Deterministic and Random Signals, Periodic & Non-periodic Signal, Even & Odd Signals, Energy & Power Signals. Discrete Time systems: Adder, Constant multiplier, Signal multiplier, Unit delay block, Unit advance block. Classification of discrete time systems: Static & Dynamic, Causal & Non-causal, Time invariant & Time variant, Linear & Non-linear, Stable & Unstable systems UNIT – II ANALYSIS OF CONTINUOUS TIME SIGNALS: Fourier series representation of Periodic signals, Representation of Fourier series in Exponential form, Frequency spectrum, Properties of Continuous time Fourier series, Perseval’s theorem, Fourier Transform, Properties of Fourier Transform, Fourier transform of some common time function Convolution property, Laplace Transform, Properties of Laplace Transform, Region of Convergence. Laplace transform of some common time function. UNIT – III LINEAR TIME INVARIANT CONTINUOUS TIME SYSTEM: Transfer function and Impulse response, Block diagram representation and Reduction technique, Convolution integral, State variable techniques, State equations for Electrical networks, State equations from transfer functions. UNIT – IV ANALYSIS OF DISCRETE TIME SIGNALS: Discrete Time Fourier Transform, Properties of DTFT, Discrete Fourier transform, Properties of DFT, Circular convolution, Z-Transform, Region of Convergence, Relation between Z-transform and DTFT, Properties of Z-transform, Inverse Z-Transform. UNIT – V ANALYSIS OF DISCRETE TIME LTI SYSTEM: Transfer function & Impulse response, Eigen function & Eigen value, Causality, Stability, LTI system characterized by Linear constant, Convolution sum, Convolution by graphical method, Block diagram representation for LTI systems described by difference equation, Unit impulse response, Introduction to Fast Fourier Transform. |
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