Official Bihar Engineering University examination question papers, marks distribution, and questions transcript. Available exam sessions: 2024, 2023, 2022, 2020, 2019.
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Official BEU curriculum units & topics for this examination subject.
Unit 1.0: Introduction to Signals and Systems
Signals and systems as seen in everyday life, and in various branches of engineering and science • Signal properties: periodicity, absolute integrability, determinism and stochastic character • Some special signals of importance: the unit step, the unit impulse, the sinusoid, the complex exponential, some special time-limited signals • Continuous and discrete time signals • Continuous and discrete amplitude signals • System properties: linearity: additivity and homogeneity, shift-invariance, causality, stability, realizability • Examples
Unit 2.0: Behavior of Continuous and Discrete-time LTI Systems
Impulse response and step response • Convolution • Input-output behavior with aperiodic convergent inputs • Cascade interconnections • Characterization of causality and stability of LTI systems • System representation through differential equations and difference equations • State space representation of systems • State-Space analysis • Multi-input multi-output representation • State Transition Matrix and its Role • Periodic inputs to an LTI system • The notion of a frequency response and its relation to the impulse response
Unit 3.0: Fourier Series and Fourier Transform
Fourier series representation of periodic signals • Waveform Symmetries • Calculation of Fourier Coefficients • Fourier Transform • Convolution/multiplication and their effect in the frequency domain • Magnitude and phase response • Fourier domain duality • The Discrete-Time Fourier Transform (DTFT) and the Discrete Fourier Transform (DFT) • Parseval's Theorem
Unit 4.0: Laplace Transform
Review of the Laplace Transform for continuous time signals and systems • System functions • Poles and zeros of system functions and signals • Laplace domain analysis • Solution to differential equations and system behavior
Unit 5.0: Sampling and Reconstruction
The Sampling theorem and its implications • Spectra of sampled signals • Reconstruction: ideal interpolator, zero-order hold, first-order hold • Aliasing and its effects • Relation between continuous and discrete time systems • Introduction to the applications of signal and system theory: modulation for communication, filtering, feedback control systems