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Mathematical analysis
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=== Signal processing === When processing signals, such as [[Sound|audio]], [[radio wave]]s, light waves, [[seismic waves]], and even images, Fourier analysis can isolate individual components of a compound waveform, concentrating them for easier detection or removal. A large family of signal processing techniques consist of Fourier-transforming a signal, manipulating the Fourier-transformed data in a simple way, and reversing the transformation.<ref>{{cite book |title=Theory and Application of Digital Signal Processing |last1=Rabiner |first1=L. R. |last2=Gold |first2=B. |location=Englewood Cliffs, New Jersey |publisher=[[Prentice-Hall]] |date=1975 |isbn=978-0139141010 |url=https://archive.org/details/theoryapplicatio00rabi |url-access=registration}}</ref>
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