JNTUK R19 B.Tech 2-2 Signals and Systems Material/Notes PDF Download

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JNTUK R19 B.Tech 2-2 Signals and Systems Material/ Notes PDF Download: Discover essential JNTUK R19 B.Tech 2-2 Signals and Systems Notes, meticulously designed to aid B.Tech EEE students. Dive into fundamental concepts like signals and systems terminology, Fourier tools, sampling, and reconstruction techniques. Gain insights into analyzing linear systems in time and frequency domains, along with mastering the z-transform for dissecting discrete-time signals and systems. Download our JNTUK R19B.Tech 2-2 Signals and Systems Material PDF for a comprehensive learning experience.

JNTUK R19 B.Tech 2-2 Signals and Systems Material – Units

Unit 1 Syllabus PDF Download | JNTUK R19 B.Tech 2-2 Signals and Systems Material

Introduction Definition of Signals and Systems, Classification of Signals, Classification of Systems, Operations on signals: time-shifting, time-scaling, amplitude-shifting, amplitude-scaling. Problems based 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. The analogy between vectors and signals, orthogonal signal space, Signal approximation using orthogonal functions, Mean square error, closed or complete set of orthogonal functions, and Orthogonality in complex functions.

Unit 2 Syllabus PDF Download | JNTUK R19 B.Tech 2-2 Signals and Systems Material

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, 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.

Unit 3 Syllabus PDF Download | JNTUK R19 B.Tech 2-2 Signals and Systems Material

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

Unit 4 Syllabus PDF Download | JNTUK R19 B.Tech 2-2 Signals and Systems Material

Analysis of Linear Systems Linear system, impulse response, Response of a linear system, Linear time-invariant (LTI) system, Linear time-variant (LTV) system, Concept of convolution in the time domain and frequency domain, Graphical representation of convolution, the Transfer function of an LTI system. Filter characteristics of linear systems. Distortion less transmission through a system, Signal bandwidth, system bandwidth, Ideal LPF, HPF and BPF characteristics, Causality and Poly-Wiener criterion for physical realization, relationship between bandwidth and rise time. Cross-correlation and auto-correlation 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. Relation between convolution and correlation.

Unit 5 Syllabus PDF Download | JNTUK R19 B.Tech 2-2 Signals and Systems Material

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.

Z–Transforms Fundamental difference between continuous-time 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. Region of convergence in Z-Transform, constraints on ROC for various classes of signals, Inverse Z-transform, properties of Z-transforms.

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JNTUK R19 B.Tech 2-2 Signals and Systems Notes – Outcomes:

• Describe the nature of signals and systems along with the fundamental principles of vector spaces, as well as the concept of orthogonality.
• Examine continuous-time signals and systems by employing Fourier series, Fourier transform, and Laplace transform for analysis.
• Utilize the sampling theorem to convert continuous-time signals into discrete-time signals and reconstruct them afterward.
• Comprehend the interconnections among different representations of Linear Time-Invariant (LTI) systems.
• Grasp the concepts of convolution, correlation, energy, and power density spectrum, and elucidate their interrelationships.
• Employ the Z-transform for analyzing discrete-time signals and systems effectively.