sine Fourier series

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• Fourier series — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms …   Wikipedia

• Discrete Fourier series — A Fourier series is a representation of a function in terms of a summation of an infinite number of harmonically related sinusoids with different amplitudes and phases. The amplitude and phase of a sinusoid can be combined into a single complex… …   Wikipedia

• Fourier series — noun Etymology: Baron J.B.J. Fourier Date: 1877 an infinite series in which the terms are constants multiplied by sine or cosine functions of integer multiples of the variable and which is used in the analysis of periodic functions …   New Collegiate Dictionary

• Fourier series — noun A series of cosine and sine functions or complex exponentials resulting from the decomposition of a periodic function …   Wiktionary

• Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… …   Wikipedia

• Fourier optics — is the study of classical optics using techniques involving Fourier transforms and can be seen as an extension of the Huygens Fresnel principle. The underlying theorem that light waves can be described as made up of sinusoidal waves, in a manner… …   Wikipedia

• Sine wave — Sinusoid redirects here. For the blood vessel, see Sinusoid (blood vessel). The graphs of the sine and cosine functions are sinusoids of different phases. The sine wave or sinusoid is a mathematical function that describes a smooth repetitive… …   Wikipedia

• Series (mathematics) — A series is the sum of the terms of a sequence. Finite sequences and series have defined first and last terms, whereas infinite sequences and series continue indefinitely.[1] In mathematics, given an infinite sequence of numbers { an } …   Wikipedia

• Fourier analysis — In mathematics, Fourier analysis is a subject area which grew out of the study of Fourier series. The subject began with trying to understand when it was possible to represent general functions by sums of simpler trigonometric functions. The… …   Wikipedia

• Fourier theorem — In mathematics, the Fourier theorem is a theorem stating that a periodic function f ( x ), which is reasonably continuous, may be expressed as the sum of a series of sine and cosine terms (called the Fourier series), each of which has specific… …   Wikipedia

• Fourier analysis — Physics, Math. 1. the expression of any periodic function as a sum of sine and cosine functions, as in an electromagnetic wave function. Cf. Fourier series. 2. See harmonic analysis. [1925 30; named after J.B.J. FOURIER] * * * …   Universalium