Here you can download the free lecture Notes of Signals and Systems Pdf Notes – SS Pdf Notes materials with multiple file links to download. Signals and Systems Notes Pdf – SS Notes Pdf book starts with the topics SAMPLING Sampling theorem,Z–TRANSFORMS Fundamental difference between continuous and discrete time signals, SIGNAL TRANSMISSION THROUGH LINEAR SYSTEMS Linear system.

## Signals and Systems Pdf Notes – SS Pdf Notes

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**According to R13 Syllabus Notes**

**Unit 1: Part A**

**Download SS Notes Pdf Unit -1a**

**Unit 1 – Part B **

**Download SS Notes Pdf unit-1b**

**Unit 2 **

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**Unit 3 **

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**Unit 4 **

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**Unit 5 **

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### Signals and Systems Notes Pdf – SS Notes Pdf

**UNIT I**

SIGNAL ANALYSIS Analogy between vectors and signals, Orthogonal signal space, Signal approximation using orthogonal functions, Mean square error, Closed or complete set of orthogonal functions, Orthogonality in complex functions, Exponential and sinusoidal signals, Concepts of Impulse function, Unit step function, Signum function.

**UNIT II**

FOURIER SERIES REPRESENTATION OF PERIODIC SIGNALS Representation of Fourier series, Continuous time periodic signals, properties of Fourier series, Dirichlet’s conditions, Trigonometric Fourier series and Exponential Fourier series, Complex Fourier spectrum

**UNIT III**

FOURIER TRANSFORMS Deriving Fourier transform from Fourier series, Fourier transform of the 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.

**UNIT IV**

SIGNAL TRANSMISSION THROUGH LINEAR SYSTEMS Linear system, impulse response, Response of a linear system, Linear time-invariant (LTI) system, Linear time variant (LTV) system, the Transfer function of an LTI system. Filter characteristics of linear systems. Distortionless transmission through a system, Signal bandwidth, system bandwidth, Ideal LPF, HPF, and BPF characteristics, Causality and Poly-Wiener criterion for physical realization, the relationship between bandwidth and rise time.

**UNIT V**

CONVOLUTION AND CORRELATION OF SIGNALS Concept of convolution in the time domain and frequency domain, Graphical representation of convolution, Convolution property of Fourier transforms. Cross-correlation and autocorrelation of functions, properties of the correlation function, Energy density spectrum, Parseval’s theorem, Power density spectrum, Relation between autocorrelation function and energy/power spectral density function.A relation between convolution and correlation, Detection of periodic signals in the presence of noise by correlation, Extraction of the signal from noise by filtering.

### Signals and Systems Pdf Notes – SS Pdf Notes

**UNIT VI**

SAMPLING Sampling theorem – Graphical and analytical proof for Band-Limited Signals, impulse sampling, Natural and Flat top Sampling, Reconstruction of the signal from its samples, effect of undersampling – Aliasing, Introduction to Band Pass sampling.

**UNIT VII**

LAPLACE TRANSFORMS Review of Laplace transforms, Partial fraction expansion, Inverse Laplace transform, Concept of the 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. Laplace transform of certain signals using waveform synthesis.

**UNIT VIII**

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. The distinction between Laplace, Fourier, and Z transforms. The region of convergence in Z-Transform, constraints on ROC for various classes of signals, Inverse Z-transform, properties of Z-transforms.

**TEXTBOOKS: Signals and Systems Notes Pdf – SS Notes Pdf **

1. Signals, Systems & Communications – B.P. Lathi, BS Publications, 2003.

2. Signals and systems-A.Rama Krishna Rao-2008, TMH

3. Signals and Systems – A.V. Oppenheim, A.S. Willsky and S.H. Nawab, PHI, 2nd Edn.

**REFERENCES: Signals and Systems Notes – SS Notes – SS Pdf Notes**

1. Signals & Systems – Simon Haykin and Van Veen, Wiley, 2nd Edition.

2. Introduction to signal and system analysis – K.Gopalan 2009, CENGAGE Learning.

3.Fundamentals of signals and systems-Michel J Robert 2008 MGH International Edition.

4. Signals, Systems and Transforms – C. L. Philips, J.M.Parr and Eve A.Riskin, Pearson education., 3rd Edition, 2004.

**Note:- These notes are according to the r09 Syllabus book of**** ****JNTUH.In R13, 8-units of R09 syllabus are combined into 5-units in the r13 syllabus. Click here to check all the JNTU Syllabus books **

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