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Complex Fourier series

Example The Fourier spectrum is a complex Fourier series  [Pg.353]

Cooley J W and ] W Tukey 1965. An Algorithm for the Machine Calculation of Complex Fourier Series Aiathemalics of Computation 19 297-301. [Pg.45]

J. W. Cooley and J.W. Tukey, An algorithm for the machine calculation of complex Fourier series. Math. Comput., 19 (1965) 297-301. [Pg.573]

Since is periodic, it can be represented as a complex Fourier series ... [Pg.622]

The discrete Fourier spectrum as given by the DFT is represented by the coefficients of a complex Fourier series. The inverse DFT is, of course, this series ... [Pg.277]

Bn coefficients of sine terms of discrete Fourier series c number of unique coefficients in complex Fourier series expression for... [Pg.289]

Chum HL, Ratcliff, Schroeder HA, Sopher DW (1984) Electrochemistry of biomass-derived materials Characterization, fractionation, and reductive electrolysis of ethanol extracted explosively depressurized aspen lignin J Wood Chem Technol 4 505-532 Compton DAC, Young JR, Kollar RG, Mooney JR, Grasselh JG (1987) In McClure GL (ed) Computerized quantitative infrared analysis ASTM, Philadelphia, 36-57 Cooley JW, Tukey JW (1965) An algorithm for the machine calculation of complex Fourier series Math Comput 19 297-301... [Pg.106]

If we write the Euler definitions for cosO and sin0, we obtain the complex form of the Fourier series known either as the Complex Fourier Series or the Exponential Fourier Series of f(x). It is represented as... [Pg.2484]

See other pages where Complex Fourier series is mentioned: [Pg.121]    [Pg.225]    [Pg.261]    [Pg.261]    [Pg.261]    [Pg.289]    [Pg.114]    [Pg.466]    [Pg.225]    [Pg.122]    [Pg.127]   
See also in sourсe #XX -- [ Pg.122 ]

See also in sourсe #XX -- [ Pg.353 ]



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Fourier series with complex basis functions

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