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Linear Systems
ISBN-13:
9783031212406
Veröffentl:
2023
Seiten:
410
Autor:
Gordon Blower
Serie:
Mathematical Engineering
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
This textbook provides a mathematical introduction to linear systems, with a focus on the continuous-time models that arise in engineering applications such as electrical circuits and signal processing. The book introduces linear systems via block diagrams and the theory of the Laplace transform, using basic complex analysis.
- 1. Linear Systems and Their Description. - 2. Solving Linear Systems by Matrix Theory. - 3. Eigenvalues and Block Decompositions of Matrices. - 4. Laplace Transforms. - 5. Transfer Functions, Frequency Response, Realization and Stability. - 6. Algebraic Characterizations of Stability. - 7. Stability and Transfer Functions via Linear Algebra. - 8. Discrete Time Systems. - 9. Random Linear Systems and Green's Functions. - 10. Hilbert Spaces. - 11. Wireless Transmission and Wavelets. - 12. Solutions to Selected Exercises.
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