Noun
the sum of a series of trigonometric expressions; used in the analysis of periodic functions
Source: WordNetA Fourier series, however, can be used only for periodic functions, or for functions on a bounded (compact) interval. Source: Internet
Another commonly used frequency domain representation uses the Fourier series coefficients to modulate a Dirac comb : : where f represents a continuous frequency domain. Source: Internet
As we increase the length of the interval on which we calculate the Fourier series, then the Fourier series coefficients begin to look like the Fourier transform and the sum of the Fourier series of f begins to look like the inverse Fourier transform. Source: Internet
Due to the properties of sine and cosine, it is possible to recover the amplitude of each wave in a Fourier series using an integral. Source: Internet
For such a function, we can calculate its Fourier series on any interval that includes the points where f is not identically zero. Source: Internet
At the end of the 19th century, Oliver Heaviside used formal Fourier series to manipulate the unit impulse. Source: Internet