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Signals and Systems (Baraniuk et al.)

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    This textbook provides a comprehensive introduction to signals and systems, covering both continuous-time and discrete-time domains. It begins with foundational concepts such as signal classification, operations, and system properties, then moves into time-domain analysis using impulse responses, convolution, and linear differential or difference equations. The text explores Fourier analysis in depth, including Fourier series and transforms for periodic and aperiodic signals, and examines their properties and applications in signal representation. Topics like sampling, aliasing, and reconstruction bridge continuous and discrete processing. Advanced chapters introduce the Laplace and Z-transforms for system design and analysis, including pole-zero plots and filter design. A final capstone covers practical signal processing tools like the FFT and matched filtering. Appendices provide essential background in linear algebra, Hilbert spaces, and mathematical analysis, along with guidance for viewing interactive content.

    Thumbnail: Nine symmetric samples of a cosine function are shifted from the finite Fourier transform domain [-4,4] to the DFT domain [0,8], causing its DTFT to become complex-valued, except at the frequencies of an 8-length DFT. (Public Domain; Bob K via Wikipedia)

    This page titled Signals and Systems (Baraniuk et al.) is shared under a CC BY 3.0 license and was authored, remixed, and/or curated by Richard Baraniuk et al. via source content that was edited to the style and standards of the LibreTexts platform.