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Signals & Systems

Signals & Systems for GATE Electrical and Electronics Engineering, one topic per lesson: the theory in plain words, the formulas, a solved example, and GATE-style questions (MCQ, MSQ and NAT) whose numerical answers are recomputed by a program when the site is built.

Start the first lesson

1Time Domain

  1. Signals, LTI Systems and ConvolutionSignal classification, energy and power signals, basic operations, system properties (linearity, time invariance, causality, stability, memory), impulse response and convolution.

2Frequency Domain

  1. Fourier Series and Fourier TransformTrigonometric and exponential Fourier series, Dirichlet conditions, symmetry, Parseval's theorem, the Fourier transform and its properties, standard pairs, and frequency response of LTI systems.

3Transforms

  1. Laplace Transform and System AnalysisLaplace transform pairs and properties, region of convergence, inverse by partial fractions, initial and final value theorems, transfer functions, poles and zeros, and stability.
  2. Sampling, Z-Transform and DFTSampling theorem, aliasing and reconstruction, z-transform pairs, ROC and stability, discrete-time transfer functions, the DFT and FFT, and digital filters.