JNTUK R20 B.Tech ECE 2-1 Signals and Systems Material/ Notes PDF Download: Explore JNTUK R20 B.Tech ECE 2-1 Signals and Systems Material to grasp the fundamentals easily. Our resources cover everything from understanding signals and systems to analyzing their spectral characteristics using Fourier series and transforms. Dive into the sampling process concept and learn about different transform techniques for detailed analysis. Elevate your understanding with our PDF downloads and excel in your B.Tech ECE studies effortlessly.
JNTUK R20 B.Tech ECE 2-1 Signals and Systems Material – Units
| No. Of Units | Name of the Unit |
| Unit – 1 | Introduction |
| Unit – 2 | Fourier Series And Fourier Transform |
| Unit – 3 | Analysis Of Linear Systems |
| Unit – 4 | Correlation, Sampling Theorem |
| Unit – 5 | Laplace Transforms, Z–Transforms |
Unit 1 Syllabus PDF Download | JNTUK R20 B.Tech ECE 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 with classification and characteristics of Signals and Systems. Complex exponential and sinusoidal signals, Singularity functions, and related functions: impulse function, step function signum function, and a 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. Related Problems.
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Unit 2 Syllabus PDF Download | JNTUK R20 B.Tech ECE 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, Relation between 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.RelatedProblems.
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Unit 3 Syllabus PDF Download | JNTUK R20 B.Tech ECE Signals and Systems Material
Analysis Of Linear Systems: Introduction, 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, Related problems. 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.
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Unit 4 Syllabus PDF Download | JNTUK R20 B.Tech ECE Signals and Systems Material
Correlation: Auto-correlation and cross-correlation of functions, properties of the 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 of signal from noise by filtering.
Sampling Theorem: Graphical and analytical proof for Band Limited Signals, impulse sampling, Natural and Flat Sampling, Reconstruction of signal from its samples, the effect of under-sampling – Aliasing, Introduction to Band Pass sampling, Related problems.
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Unit 5 Syllabus PDF Download | JNTUK R20 B.Tech ECE Signals and Systems Material
Laplace Transforms: Introduction, Concept of the region of convergence (ROC) for Laplace transforms, constraints on ROC for various classes of signals, Properties of L.T’s, Inverse Laplace transform, Relation between L.T’s, and F.T. of a signal. Laplace transform of certain signals using waveform 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. The distinction between Laplace, Fourier and Z transforms.
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JNTUK R20 B.Tech Signals and Systems Material – Outcomes
- Understand the distinctions between different types of signals and systems.
- Use Fourier concepts to examine signals’ frequency domain representations.
- Classify systems based on their properties and analyze the response of Linear Time-Invariant (LTI) Systems.
- Learn about the sampling process and explore various sampling techniques.
- Apply Laplace and z-transforms for analyzing both continuous and discrete signals and systems.
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