**CHHATTISGARH SWAMI VIVEKANAND TECHNICAL UNIVERSITY BHILAI (C.G.)**

**Semester :B.E. IV Sem. Branch: Electronics & Telecommunication**

**Subject:Signals & Systems**

UNIT – 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.

Text Book:

Signals & Systems: Smarjit Ghosh, Pearson Education

Signals & Systems: Nagrath, Sharan, Ranjan & Kumar, TMH

Reference Book:

Signals & Systems: Farooq Husain, Umesh Publications

Signals, Systems and Communications: B.P. Lathi, BS Publications

Signals & Systems: Babu & Natarajan, Scitech Publications