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EX-302 Signals and Systems Notes

5 notes for Signals and Systems, unit by unit.

Unit 1 · Short notes Classification of signals and systems Continuous‑time (CT) signals: step, ramp, pulse, impulse, sinusoidal and exponential signals · Discrete‑time (DT) signals: step, ramp, pulse, impulse, sinusoidal and exponential signals · Basic operations on signals (addition, scaling, time‑shifting, time‑reversal, etc.) · Classification of signals: periodic vs. aperiodic, energy vs. power signals, random signals · CT and DT systems and their basic properties (causality, stability, linearity, time‑invariance) · Linear time‑invariant (LTI) systems and their fundamental properties
Unit 2 · Short notes Analysis of continuous‑time signals Time‑domain analysis of CT signals · Frequency‑domain analysis of CT signals · Fourier series analysis and spectrum of periodic CT signals · Fourier transform of CT signals · Laplace transform and region of convergence (ROC) · Wavelet transform of CT signals
Unit 3 · Short notes Linear time‑invariant continuous‑time systems Differential‑equation representation of LTI CT systems · Block‑diagram representation of CT systems · State‑variable representation and matrix form of CT systems · Impulse response and step response of CT systems · Frequency response (Bode plot, magnitude‑phase) of CT systems · Reliability considerations for CT systems
Unit 4 · Short notes Analysis of discrete‑time signals Convolution sum for DT signals and its properties · Sampling of CT signals, Nyquist criterion and aliasing · Discrete‑time Fourier transform (DTFT) and its properties · Z‑transform of DT signals, poles, zeros and ROC · Inverse Z‑transform techniques
Unit 5 · Short notes Linear time‑invariant discrete‑time systems Difference‑equation representation of LTI DT systems · Block‑diagram representation of DT systems · Impulse response of DT systems · Analysis of DT LTI systems using DTFT and Z‑transform · State‑variable equations and matrix representation for DT systems · Design and implementation of digital filters

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