Signals and Systems by Alan V. OppenheimWell, its not as embracing in terms of theory as some other books on the same subject, but its text is very concise, and at least I couldnt find any errors on any of the examples, so I would say that you can take every word of this book very seriously. Theres also a series of videos recorded in a professional studio, where the author gives lectures about the contents of the books chapters that you can find easily on youtube. Its not the best book youll find, but its definatly worth trying.
Signals and Systems, 2nd Edition
This authoritative book, highly regarded for its intellectual quality and contributions provides a solid foundation and life-long reference for anyone studying the most important methods of modern signal and system analysis. The major changes of the revision are reorganization of chapter material and the addition of a much wider range of difficulties. Relatively self-contained, the book assumes no prior experience with system analysis, convolution, Fourier analysis, or Laplace and z-transforms. Develops continuous-time and discrete-time concepts in parallel -- highlighting the similarities and differences. Introduces some of the important uses of the basic methods that are developed -- e. NEW --Material on Fourier analysis has been reorganized significantly to provide an easier path for the reader to master and appreciate the importance of this topic.
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Time-domain illustration of upsampling from Lec Image courtesy of Professor Alan Oppenheim.