Mathematical treatment of signals and systems

AI Thread Summary
The discussion focuses on finding books that approach signals and systems from a mathematical perspective, specifically for second and third-year electrical engineering students. Key topics of interest include system characteristics such as causality, memory, stability, LTI systems, linearization, feedback, state-space models, and various transforms (Laplace, Fourier, Z-transform). The user has identified a few potential books: "Signal Analysis" by Allen and Mills, which addresses signals in vector spaces but lacks coverage on systems; "Modern Signals and Systems" by Kwakernaak and Sivan, which is highly recommended but difficult to access; and "Signal Theory" by Franks, which also focuses only on signals. The user is seeking additional book recommendations and feedback on the mentioned titles.
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Hi there,

I am looking for books that treat signals and systems from a mathematical perspective. When I say "signals and systems", I am referring to the typical second/third year material taught in EE programs: system characteristics (causality, memory, stability), LTI systems, linearization, feedback, state-space models, continuous- and discrete-time signals, Laplace and Fourier transforms, Z- and discrete-time Fourier transforms, spectral densities, sampling and so on. The books I am in search of should ideally treat the aforementioned subjects from a linear algebra/functional analysis point-of-view.

Browsing through Amazon, book reviews and countless course webpages has turned up the following:

  • Signal Analysis (Allen and Mills) - looks at signals in vector spaces and even discusses some wavelets, but doesn't cover systems/basic controls
  • Modern Signals and Systems (Kwakernaak and Sivan) - reviews tell me that this is what I need, but I haven't been able to get hold of a preview or a library copy
  • Signal Theory (Franks) - once again, only looks at signals, and I can't come across a preview/copy

Does anyone have any other suggestions? Any comments on the books I listed above are also appreciated.

Thanks!
 
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