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| ECE 2-1 S&S | ||
|---|---|---|
| S.No | Chapters / Units | Download Link |
| 1 | Unit 1 | Download |
| 2 | Unit 2 | Download |
| 3 | Unit 3 | Download |
| 4 | Unit 4 | Download |
| 5 | Unit 5 | Download |
ECE S&S Important Topics Questions
UNIT- I:
INTRODUCTION: Definition of Signals and Systems, Classification of
Signals, Classification of Systems, Operations on signals: time-shifting, time-scaling,
amplitude-shifting, amplitude-scaling. Problems on classification and characteristics of
Signals and Systems. Complex exponential and sinusoidal signals, Singularity functions
and related functions: impulse function, step function signum function and ramp function.
Analogy between vectors and signals, orthogonal signal space, Signal approximation
using orthogonalfunctions, Mean square error, closed or complete set of orthogonal
functions, Orthogonality incomplex functions. Related problems.
UNIT–II:
FOURIER SERIES AND FOURIER TRANSFORM:
Fourier series representation of continuous time periodic signals, properties of Fourier
series, Dirichlet’s conditions, Trigonometric Fourier series and Exponential Fourier
series, Relationbetween Trigonometric and Exponential Fourier series, Complex Fourier
spectrum. Deriving Fourier transform from Fourier series, Fourier transform of arbitrary
signal, Fourier transform of standard signals, Fourier transform of periodic signals,
properties of Fourier transforms, Fourier transforms involving impulse function and
Signum function. Introduction to Hilbert Transform, Related problems.
UNIT-III:
ANALYSIS OF LINEAR SYSTEMS: Introduction, Linear system,
impulseresponse, Response of a linear system, Linear time invariant (LTI) system, Linear
time variant (LTV)system, Concept of convolution in time domain and frequency
domain, Graphical representation of convolution, Transfer function of a LTIsystem,
Related problems. Filter characteristics of linear systems. Distortion less transmission
through asystem, Signal bandwidth, system bandwidth, Ideal LPF, HPF and BPF
characteristics, Causality and Poly-Wiener criterion for physical realization, relationship
between bandwidthand risetime.
UNIT–IV:
CORRELATION: Auto-correlation and cross-correlation of functions, properties of
correlation function, Energy density spectrum, Parseval’s theorem, Power density
spectrum, Relation between Convolution and correlation, Detection of periodic signals in
the presence of noise by correlation, Extraction ofsignal from noise by filtering.
SAMPLING THEOREM: Graphical and analytical proof for Band Limited Signals,
impulse sampling, Natural and Flat top Sampling, Reconstruction of signal from its
samples, effect of under sampling –Aliasing, Introduction to Band Pass sampling,
Relatedproblems.
UNIT–V:
LAPLACE TRANSFORMS: Introduction, Concept of region of convergence (ROC)
forLaplace transforms, constraints on ROC for various classes of signals, Properties of
L.T’s,Inverse Laplace transform, Relation betweenL.T’s, and F.T. of a signal. Laplace
transformofcertain signals usingwaveform synthesis.
Z–TRANSFORMS: Concept of Z-Transform of a discrete sequence. Region of
convergence in Z-Transform, constraints on ROC for various classes of signals, Inverse
Z-transform, properties of Z-transforms. Distinction between Laplace, Fourierand Z
transforms.
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