Chapter: Eigenfunctions and Orthogonal Polynomials

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Home > Linear Systems Properties: A Quick Reference > Eigenfunctions and Orthogonal Polynomials

Linear Systems Properties: A Quick Reference |

Venkatarama Krishnan

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Linear Systems Properties: A Quick Reference

Eigenfunctions and Orthogonal Polynomials

Chapter Info

Authors

Venkatarama Krishnan

ARI Id

1665799844696_13782957

Access

Not Available Free

Pages

23-40

DOI

10.1201/9780429332951-6

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Chapters/Headings	Author(s)	Pages	Info
Mathematical Formulae	Venkatarama Krishnan	1-3
Impulse Function Modeling	Venkatarama Krishnan	5-6
Signal Properties	Venkatarama Krishnan	7-9
Continuous Time Convolution	Venkatarama Krishnan	11-12
Discrete Linear and Circular Convolution	Venkatarama Krishnan	13-21
Eigenfunctions and Orthogonal Polynomials	Venkatarama Krishnan	23-40
Useful Orthogonal Polynomials Chebysev Polynomials – First Kind	Venkatarama Krishnan	41-54
Gram-Schmidt Orthonormalization Procedure	Venkatarama Krishnan	55-67
Properties of Continuous Fourier Series (CFS)	Venkatarama Krishnan	69-72
Fourier Transform as Limiting Form of Fourier Series	Venkatarama Krishnan	73-73
Properties of Continuous Fourier Transforms (CFT)	Venkatarama Krishnan	75-76
Continuous Fourier Transform (CFT) Pairs	Venkatarama Krishnan	77-80
Inverse Fourier Transform by Contour Integration	Venkatarama Krishnan	81-86
Derivation of Continuous Hilbert Transforms (CHT)	Venkatarama Krishnan	87-94
Convergence of Bilateral Laplace Transforms	Venkatarama Krishnan	95-97
Properties of Bilateral Laplace Transforms	Venkatarama Krishnan	99-100
Unilateral Laplace Transform (ULT) Pairs	Venkatarama Krishnan	101-102
COMPLEX CONVOLUTION (Laplace Transform)	Venkatarama Krishnan	103-108
Properties of Discrete-Time Fourier Series (DTFS)	Venkatarama Krishnan	109-111
Properties of Discrete-Time Fourier Transforms (DTFT)	Venkatarama Krishnan	113-116
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