## The Fourier Transform and Its Applications |

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### Contents

Introduction | 1 |

Conditions for the existence of Fourier transforms | 8 |

Significance of oddness and evenness | 14 |

Copyright | |

40 other sections not shown

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### Common terms and phrases

Abel transform amplitude antenna aperture applied approach autocorrelation behavior calculate central Chapter circuit coefficients complex components connection consider constant convolution corresponding defined derivative described direction discrete discussion distribution electrical energy equal equation equivalent example exists expression fact factor field filter finite follows Fourier transform frequency function Gaussian give given Hence illustrated imaginary important impulse infinite input integral interval known Laplace limit linear mean measured multiplication normalized notation obtain operation origin output pair particularly periodic phase physical plane positive possible probability problem Prove pulse quantity range reference relation represented response result sampling sequence shift Show shown signal simple sinc smoothing spaced spectrum step symbol Table taking theorem theory tion two-dimensional unit values Vi(t voltage wave waveform width zero