- 304 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
About this book
This pocket book serves as an immediate reference for the various formulae encountered in linear systems, control systems, probability, communication engineering, signal processing, quantum mechanics, and electromagnetic field theory. It includes novel results on complex convolutions; clearly explains real and complex matrix differentiation methods; provides an unusual amount of orthogonal functions; and presents properties of Fourier series, Fourier transforms, Hilbert transforms, Laplace transforms, and z-transforms. Singular value decomposition techniques for matrix inversion are also clearly presented.
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Information
Table of contents
- Cover
- Half Title
- Title Page
- Copyright Page
- Preface
- Dedication Page
- Contents
- 1. Mathematical Formulae
- 2. Impulse Function Modeling
- 3. Signal Properties
- 4. Continuous Time Convolution
- 5. Discrete Linear and Circular Convolution
- 6. Eigenfunctions and Orthogonal Polynomials
- 7. Useful Orthogonal Polynomials
- 8. Gram-Schmidt Orthogonalization Procedure
- 9. Properties of Continuous Fourier Series
- 10. Fourier Transform from Fourier Series
- 11. Properties of Continuous Fourier Transforms
- 12. Continuous Fourier Transform Pairs
- 13. Inverse Fourier Transforms (Contour Integration)
- 14. Derivation of Hilbert Transforms
- 15. Convergence of Bilateral Laplace Transforms
- 16. Properties of Bilateral Laplace Transforms
- 17. Unilateral Laplace Transform Pairs
- 18. Complex Convolution (Laplace Transforms)
- 19. Properties of Discrete-Time Fourier Series
- 20. Properties of Discrete-Time Fourier Transforms
- 21. Properties of Discrete Fourier Transforms
- 22. Graphical Derivation of DFT from CFT
- 23. Analytical Derivation of FFT Algorithm
- 24. Convergence of Bilateral z-Transforms
- 25. Properties of Bilateral z-Transforms
- 26. Unilateral z-Transform Pairs
- 27. Complex Convolution (z-Transforms)
- 28. Truncation Windows
- 29. Linear Spaces
- 30. Basic Theory of Matrices
- 31. Eigenvalues and Eigenvectors of Matrices
- 32. Singular Value Decomposition (SVD)
- 33. Vector and Matrix Differentiation
- 34. State Space Techniques
- References
- Index
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Yes, you can access Linear Systems Properties by Venkatarama Krishnan in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Electrical Engineering & Telecommunications. We have over one million books available in our catalogue for you to explore.