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- W2489918315 abstract "This chapter discusses the controversial claim that any continuous periodic signal could be represented by the sum of properly chosen sinusoidal waves. Fourier analysis forms the basis for much of digital signal processing. Simply stated, the Fourier transform (there are actually several members of this family) allows a time domain signal to be converted into its equivalent representation in the frequency domain. Conversely, if the frequency response of a signal is known, the inverse Fourier transform allows the corresponding time domain signal to be determined. In addition to frequency analysis, these transforms are useful in filter design, because the frequency response of a filter can be obtained by taking the Fourier transform of its impulse response. Conversely, if the frequency response is specified, the required impulse response can be obtained by taking the inverse Fourier transform of the frequency response. Digital filters can be constructed based on their impulse response, because the coefficients of an FIR filter and its impulse response are identical." @default.
- W2489918315 created "2016-08-23" @default.
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- W2489918315 date "2003-01-01" @default.
- W2489918315 modified "2023-09-26" @default.
- W2489918315 title "Fast Fourier Transforms" @default.
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- W2489918315 doi "https://doi.org/10.1016/b978-075067611-3/50005-0" @default.
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