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# Book Details # Signals & Systems (Signal Analysis & Fourier Series, Fourier Transforms & Sampling, Signal Transmission Through Linear Systems, Convolution And Correlation Of Signals)

 Course Code : ULZ0323 Author : uLektz University : General for All University Regulation : 2017 Categories : Electronics & Communication Format : ePUB3 (DRM Protected) Type : eBook

FREE

Description :Signals & Systems (Signal Analysis & Fourier Series, Fourier Transforms & Sampling, Signal Transmission Through Linear Systems, Convolution And Correlation Of Signals) of ULZ0323 covers the latest syllabus prescribed by General for All University for regulation 2017. Author: uLektz, Published by uLektz Learning Solutions Private Limited.

Note : No printed book. Only ebook. Access eBook using uLektz apps for Android, iOS and Windows Desktop PC.

##### Topics
###### UNIT I SIGNAL ANALYSIS & FOURIER SERIES

1.1 Signal Analysis & Fourier Series : Analogy between vectors and signals-Orthogonal signal space-Signal approximation using orthogonal functions-Mean square error

1.2 Closed or complete set of orthogonal functions-Orthogonality in complex functions-Exponential and sinusoidal signals-Concepts of Impulse function

1.3 Unit step function-Signum function-Representation of Fourier series-Continuous time periodic signals, Properties of Fourier series

1.4 Dirichlet’s conditions-Trigonometric Fourier series and Exponential Fourier series-Complex Fourier spectrum

###### UNIT II FOURIER TRANSFORMS & SAMPLING

2.1 Fourier Transforms & Sampling: Deriving Fourier transform from Fourier series-Fourier transform of arbitrary signal-Fourier transform of standard signals

2.2 Fourier transform of periodic signals-Properties of Fourier transforms-Fourier transforms involving impulse function and Signum function

2.3 Introduction to Hilbert Transform- Sampling theorem -Graphical and analytical proof for Band Limited Signals-Impulse sampling

2.4 Natural and Flat top Sampling-Reconstruction of signal from its samples-Effect of under sampling – Aliasing- Introduction to Band Pass sampling

###### UNIT III SIGNAL TRANSMISSION THROUGH LINEAR SYSTEMS

3.1 Signal Transmission Through Linear Systems : Linear system-Impulse response-Response of a linear system-Linear time invariant (LTI) system

3.2 Linear time variant (LTV) system-Transfer function of a LTI system - Filter characteristics of linear systems-Distortion less transmission through a system

3.3 Signal bandwidth-System bandwidth-Ideal LPF, HPF and BPF characteristics

3.4 Causality and Paley-Wiener criterion for physical realization-Relationship between bandwidth and rise time

###### UNIT IV CONVOLUTION AND CORRELATION OF SIGNALS

4.1 Convolution And Correlation Of Signals : Concept of convolution in time domain and frequency domain- Graphical representation of convolution-Convolution property of Fourier transforms

4.2 Cross correlation and auto correlation of functions-Properties of correlation function- Energy density spectrum-Parseval’s theorem-Power density spectrum

4.3 Relation between auto correlation function and energy/power spectral density function-Relation between convolution and correlation-Detection of periodic signals in the presence of noise by correlation-Extraction of signal from noise by filtering

###### UNIT V LAPLACE TRANSFORMS

5.1 Laplace Transforms :Review of Laplace transforms- Partial fraction expansion- Inverse Laplace transform

5.2 Concept of region of convergence (ROC) for Laplace transforms-Constraints on ROC for various classes of signals-Properties of L.T’s, Relation between L.T’s, and F.T. of a signal

5.3 Laplace transform of certain signals using waveform synthesis

###### UNIT VI Z–TRANSFORMS

6.1 Z–Transforms: Fundamental difference between continuous and discrete time signals-Discrete time signal representation using complex exponential and sinusoidal components-Periodicity of discrete time using complex exponential signal-Concept of Z- Transform of a discrete sequence

6.2 Distinction between Laplace, Fourier and Z transforms-Region of convergence in Z-Transform, Constraints on ROC for various classes of signals

6.3 Inverse Z-transform - Properties of Z-transforms

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