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ISBN 10: 8177583808
ISBN 13: 9788177583809
Author: Smarajit Ghosh
This Book Provides Comprehensive Coverage Of All Topics Within The Signals And Systems Paper Offered To Undergraduates Of Electrical And Electronics Engineering.
1: Introduction to Signals
1.1: Signal Classifications and Properties
1.2: Signal Size and Norms
1.3: Signal Operations
1.4: Common Continuous Time Signals
1.5: Common Discrete Time Signals
1.6: Continuous Time Impulse Function
1.7: Discrete Time Impulse Function
1.8: Continuous Time Complex Exponential
1.9: Discrete Time Complex Exponential
2: Introduction to Systems
2.1: System Classifications and Properties
2.2: Linear Time Invariant Systems
3: Time Domain Analysis of Continuous Time Systems
3.1: Continuous Time Systems
3.2: Continuous Time Impulse Response
3.3: Continuous Time Convolution
3.4: Properties of Continuous Time Convolution
3.5: Eigenfunctions of Continuous Time LTI Systems
3.6: BIBO Stability of Continuous Time Systems
3.7: Linear Constant Coefficient Differential Equations
3.8: Solving Linear Constant Coefficient Differential Equations
4: Time Domain Analysis of Discrete Time Systems
4.1: Discrete Time Systems
4.2: Discrete Time Impulse Response
4.3: Discrete Time Convolution
4.4: Properties of Discrete Time Convolution
4.5: Eigenfunctions of Discrete Time LTI Systems
4.6: BIBO Stability of Discrete Time Systems
4.7: Linear Constant Coefficient Difference Equations
4.8: Solving Linear Constant Coefficient Difference Equations
5: Introduction to Fourier Analysis
5.1: Introduction to Fourier Analysis
6: Continuous Time Fourier Series (CTFS)
6.1: Continuous Time Periodic Signals
6.2: Continuous Time Fourier Series (CTFS)
6.3: Common Fourier Series
6.4: Properties of the CTFS
6.5: Continuous Time Circular Convolution and the CTFS
6.6: Convergence of Fourier Series
6.7: Gibbs Phenomena
7: Discrete Time Fourier Series (DTFS)
7.1: Discrete Time Periodic Signals
7.2: Discrete Time Fourier Series (DTFS)
7.3: Common Discrete Fourier Series
7.4: Properties of the DTFS
7.5: Discrete Time Circular Convolution and the DTFS
8: Continuous Time Fourier Transform (CTFT)
8.1: Continuous Time Aperiodic Signals
8.2: Continuous Time Fourier Transform (CTFT)
8.3: Common Fourier Transforms
8.4: Properties of the CTFT
8.5: Continuous Time Convolution and the CTFT
9: Discrete Time Fourier Transform (DTFT)
9.1: Discrete Time Aperiodic Signals
9.2: Discrete Time Fourier Transform (DTFT)
9.3: Common Discrete Time Fourier Transforms
9.4: Properties of the DTFT
9.5: Discrete Time Convolution and the DTFT
10: Sampling and Reconstruction
10.1: Signal Sampling
10.2: Sampling Theorem
10.3: Signal Reconstruction
10.4: Perfect Reconstruction
10.5: Aliasing Phenomena
10.6: Anti-Aliasing Filters
10.7: Discrete Time Processing of Continuous Time Signals
11: Laplace Transform and Continuous Time System Design
11.1: Laplace Transform
11.2: Common Laplace Transforms
11.3: Properties of the Laplace Transform
11.4: Inverse Laplace Transform
11.5: Poles and Zeros in the S-Plane
11.6: Region of Convergence for the Laplace Transform
11.7: Rational Functions and the Laplace Transform
11.8: Differential Equations
11.9: Continuous Time Filter Design
12: Z-Transform and Discrete Time System Design
12.1: Z-Transform
12.2: Common Z-Transforms
12.3: Properties of the Z-Transform
12.4: Inverse Z-Transform
12.5: Poles and Zeros in the Z-Plane
12.6: Region of Convergence for the Z-Transform
12.7: Rational Functions and the Z-Transform
12.8: Difference Equations
12.9: Discrete Time Filter Design
13: Capstone Signal Processing Topics
13.1: DFT- Fast Fourier Transform
13.2: The Fast Fourier Transform (FFT)
13.3: Deriving the Fast Fourier Transform
13.4: Matched Filter Detector
14: Appendix A - Linear Algebra Overview
14.1: Basic Linear Algebra
14.2: Eigenvectors and Eigenvalues
14.3: Matrix Diagonalization
14.4: Eigen-Stuff in a Nutshell
14.5: Eigenfunctions of LTI Systems
15: Appendix B - Hilbert Spaces Overview
15.1: Fields and Complex Numbers
15.2: Vector Spaces
15.3: Norms
15.4: Inner Products
15.5: Hilbert Spaces
15.6: Cauchy-Schwarz Inequality
15.7: Common Hilbert Spaces
15.8: Types of Bases
15.9: Orthonormal Basis Expansions
15.10: Function Space
15.11: Haar Wavelet Basis
15.12: Orthonormal Bases in Real and Complex Spaces
15.13: Plancharel and Parseval's Theorems
15.14: Approximation and Projections in Hilbert Space
16: Appendix C - Analysis Topics Overview
16.1: Introduction to Metric Spaces
16.2: Convergence of Sequences
16.3: Convergence of Sequences of Vectors
16.4: Uniform Convergence of Function Sequences
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ec3354 signals and systems notes
Tags: Smarajit Ghosh, Signals, Systems
