Editing Signal processing (section)

==Mathematical methods applied==
* [[Differential equations]]<ref name="Gaydecki2004">{{cite book|author=Patrick Gaydecki|title=Foundations of Digital Signal Processing: Theory, Algorithms and Hardware Design|url=https://books.google.com/books?id=6Qo7NvX3vz4C&q=%22differential+equation%22+OR+%22differential+equations%22&pg=PA40|year=2004|publisher=IET|isbn=978-0-85296-431-6|pages=40–}}</ref>{{spaced ndash}} for modeling system behavior, connecting input and output relations in linear time-invariant systems. For instance, a low-pass filter such as an [[RC circuit]] can be modeled as a differential equation in signal processing, which allows one to compute the continuous output signal as a function of the input or initial conditions.
* [[Recurrence relation]]s<ref name="Engelberg2008">{{cite book|author=Shlomo Engelberg|title=Digital Signal Processing: An Experimental Approach|url=https://books.google.com/books?id=z3CpcCHbtgIC|date=8 January 2008|publisher=Springer Science & Business Media|isbn=978-1-84800-119-0}}</ref>
* [[Transform theory]]
* [[Time-frequency analysis]]{{spaced ndash}} for processing non-stationary signals<ref>{{cite book|title=Time frequency signal analysis and processing a comprehensive reference|year=2003|publisher=Elsevier|location=Amsterdam|isbn=0-08-044335-4|edition=1|editor=Boashash, Boualem}}</ref><!--[[User:Kvng/RTH]]-->
* [[Linear canonical transformation]]
* [[Spectral estimation]]{{spaced ndash}} for determining the spectral content (i.e., the distribution of power over frequency) of a [[time series]]<ref>{{cite book|first1=Petre|last1=Stoica|first2=Randolph|last2=Moses|title=Spectral Analysis of Signals|year=2005|publisher=Prentice Hall|location=NJ|url=http://user.it.uu.se/%7Eps/SAS-new.pdf}}</ref> 
*[[Statistical signal processing]]{{spaced ndash}} analyzing and extracting information from signals and noise based on their stochastic properties
*[[Linear time-invariant system]] theory, and [[transform theory]]
*[[Polynomial signal processing]]{{spaced ndash}} analysis of systems which relate input and output using polynomials
*[[System identification]]<ref name="Billings"/> and classification
*[[Calculus]]
*[[Code]]
*[[Complex analysis]]<ref name="SchreierScharf2010">{{cite book|author1=Peter J. Schreier|author2=Louis L. Scharf|title=Statistical Signal Processing of Complex-Valued Data: The Theory of Improper and Noncircular Signals|url=https://books.google.com/books?id=HBaxLfDsAHoC&q=%22complex+analysis%22|date=4 February 2010|publisher=Cambridge University Press|isbn=978-1-139-48762-7}}</ref>
*[[Vector spaces]] and [[Linear algebra]]<ref name="Little2019">{{cite book|author=Max A. Little|title=Machine Learning for Signal Processing: Data Science, Algorithms, and Computational Statistics|url=https://books.google.com/books?id=ejGoDwAAQBAJ&q=%22vector+space%22|date=13 August 2019|publisher=OUP Oxford|isbn=978-0-19-102431-3}}</ref>
*[[Functional analysis]]<ref name="DamelinJr2012">{{cite book|author1=Steven B. Damelin|author2=Willard Miller, Jr|title=The Mathematics of Signal Processing|url=https://books.google.com/books?id=MtPLYXQ9d9MC&q=%22functional+analysis%22|year=2012|publisher=Cambridge University Press|isbn=978-1-107-01322-3}}</ref>
*[[Probability]] and [[stochastic processes]]<ref name="Scharf"/>
*[[Detection theory]]
*[[Estimation theory]]
*[[Optimization]]<ref name="PalomarEldar2010">{{cite book|author1=Daniel P. Palomar|author2=Yonina C. Eldar|title=Convex Optimization in Signal Processing and Communications|url=https://books.google.com/books?id=UOpnvPJ151gC|year=2010|publisher=Cambridge University Press|isbn=978-0-521-76222-9}}</ref>
*[[Numerical methods]]
*[[Time series]]
*[[Data mining]]{{spaced ndash}} for statistical analysis of relations between large quantities of variables (in this context representing many physical signals), to extract previously unknown interesting patterns