Signals and systems
Signals and Systems is a foundational subject in Electronics and Electrical Engineering that deals with the analysis, representation, and transformation of signals using mathematical tools. It forms the basis for communication systems, control systems, signal processing, and instrumentation.
The syllabus covers classification of signals such as continuous-time and discrete-time, deterministic and random, periodic and aperiodic, even and odd, and energy and power signals. Fundamental system properties including linearity, time-invariance, causality, stability, and memory are analyzed.
Mathematical representation of signals using unit step, impulse, and ramp functions is emphasized. Continuous-time systems are studied using differential equations, while discrete-time systems are analyzed using difference equations.
Linear Time-Invariant (LTI) systems, convolution, and impulse response form a core part of the syllabus. Fourier Series and Fourier Transform are used for frequency-domain analysis of continuous signals.
The course also includes Laplace Transform for continuous-time systems and Z-Transform for discrete-time systems, along with Region of Convergence (ROC) and system stability.
Signals and Systems provides strong analytical skills essential for advanced engineering subjects and competitive examinations.
UNIT I CLASSIFICATION OF SIGNALS AND SYSTEMS EC3354 Signals and Systems Syllabus
Standard signals- Step, Ramp, Pulse, Impulse, Real and complex exponentials and Sinusoids_Classification of signals – Continuous time (CT) and Discrete Time (DT) signals, Periodic & Aperiodic signals, Deterministic & Random signals, Energy & Power signals -Classification of systems- CT systems and DT systems- – Linear & Nonlinear, Time-variant& Time-invariant,Causal & Non-causal, Stable & Unstable.
UNIT II ANALYSIS OF CONTINUOUS TIME SIGNALS EC3354 Signals and Systems Notes
Fourier series for periodic signals – Fourier Transform – properties- Laplace Transforms and Properties
UNIT III LINEAR TIME INVARIANT CONTINUOUS TIME SYSTEMS EC3354 Signals and Systems Important Questions
Impulse response – convolution integrals- Differential Equation- Fourier and Laplace transforms in Analysis of CT systems – Systems connected in series / parallel.
UNIT IV ANALYSIS OF DISCRETE TIME SIGNALS EC3354 Signals and Systems Question Paper
Baseband signal Sampling–Fourier Transform of discrete time signals (DTFT)– Properties of DTFT – Z Transform & Properties
UNIT V LINEAR TIME INVARIANT-DISCRETE TIME SYSTEMS EC3354 Signals and Systems Question Bank
Impulse response–Difference equations-Convolution sum- Discrete Fourier Transform and Z Transform Analysis of Recursive & Non-Recursive systems-DT systems connected in series and parallel
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