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EC-402 Signals & Systems Notes

5 notes for Signals & Systems, unit by unit.

Unit 1 · Short notes Introduction of Signals and Systems Definition of signal · Classification of signals and representation (continuous‑time, discrete‑time, even/odd, periodic/aperiodic, random/deterministic, energy/power, one/multidimensional, standard signals) · Basic operations on signals for continuous‑time / discrete‑time · Transformation of independent and dependent variables · Definition of system and its classification (CT/DT, linear/non‑linear, time‑variant/time‑invariant, causal/non‑causal, state/dynamic system) · Interconnection of systems
Unit 2 · Short notes Linear Time‑Invariant Systems Introduction to LTI systems · Impulse response representation for LTI systems · Convolution · Properties of the impulse‑response representation for LTI systems · Difference equation for LTI systems · Block diagram representations (direct form‑I, direct form‑II, transpose, cascade, parallel)
Unit 3 · Short notes z‑Transform Introduction to the z‑transform · Region of convergence (ROC) of finite‑duration sequences · ROC of infinite‑duration sequences · Relation between discrete‑time Fourier transform and z‑transform · Properties of the ROC · Properties of the z‑transform
Unit 4 · Short notes Fourier Analysis of Discrete‑Time Signals Introduction to Fourier analysis of discrete‑time signals · Properties and applications of discrete‑time Fourier series · Representation of aperiodic signals · Fourier transform and its properties · Convergence of the discrete‑time Fourier transform · Fourier transform for periodic signals
Unit 5 · Short notes State‑Space Analysis and Multi‑Input Multi‑Output Representation State‑space analysis and multi‑input, multi‑output representation · State‑transition matrix and its role · The sampling theorem and its implications · Spectra of sampled signals · Signal reconstruction

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