Signals and Systems Basics Quiz

The properties of signals discussed in module-1 include periodicity, absolute integrability, determinism, stochastic character, and special signals such as the unit step, unit impulse, sinusoid, complex exponential, and time-limited signals.

The behavior of continuous and discrete-time LTI systems includes topics such as impulse response, step response, convolution, input-output behavior with aperiodic convergent inputs, cascade interconnections, causality, stability, system representation through differential equations and difference equations, and state-space representation of systems.

The different transforms discussed in module-3 include Fourier transform, Laplace transform, and Z-transform. Additionally, it covers topics such as Fourier series representation of periodic signals, waveform symmetries, calculation of Fourier coefficients, and the notion of frequency response and its relation to the impulse response.

System properties such as linearity (additivity and homogeneity), shift invariance, causality, and stability are characterized through various examples and discussions in the context of signals and systems, demonstrating their significance in analyzing system behavior and performance.

The State Transition Matrix plays a crucial role in the state-space representation of systems by providing a solution to the state equation. It allows for the calculation of the state at any future time, given the initial state and the input to the system.