nLab signal processing

Idea

Wikipedia defines signal processing as

the analysis, synthesis, and modification of signals, which are broadly defined as functions conveying “information about the behavior or attributes of some phenomenon”

Related concepts

• Fourier transform

• Laplace transform, Fourier-Laplace transforms

• discrete Fourier transforms, quantum Fourier transform

• sampling theory

• time series

• information geometry

• information theory

• coding theory

• noise, white noise

• error correction, quantum error correction

• machine learning

• topological signal processing

References

• H. Akaike. Information theory and an extension of the maximum likelihood principle, in hoc. 2nd Int. Symp. Inform.392 Theory, suppl. Problems of Control and Inform. Theory, 1973.

• M. Wax, T. Kailath. Detection of signals by information theoretic criteria, IEEE Transactions on Acoustics, Speech, and Signal Processing 33:2, 1985 doi

• Isabela F. Apolinário, Paulo S.R. Diniz. Chapter 1 - Introduction to Signal Processing Theory, 2014 doi

• Markus Püschel, José M. F. Moura. Algebraic Signal Processing Theory, 2019 arXiv

category: applications, probability