## Acoustic Imaging with Electronic Circuits |

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### Contents

Introduction | 1 |

Image Generation by Linear Transformations | 18 |

Implementation of the Fourier Transform | 41 |

Copyright | |

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16 hydrophones according to Eq according to Fig acoustic imaging amplitude analog analog circuits analog-to-digital converter bandwidth beam former beam forming beam pattern cartesian coordinates circuit of Fig delay circuits denoted diffraction pattern digital circuits electronic circuits equal equation equipment error fast Fourier transform filter finite four voltages Fourier series Fourier transform circuit Hence holography hydrophone array implementation input terminals input voltages insonification inverse transform light-emitting diode linear microphones multiplexing multipliers object plane obtain operational amplifiers optics output terminals output voltages phase shifts printed circuit cards processing produce projector pulse q 0 q radiation reception plane replaced resistors resolution resolvable points scattering points sensors shift register shown in Fig shows sidelobe signal signal-to-noise ratio sinusoidal function sinusoidal waves sound waves spread spectrum switches synthetic aperture Table target two-dimensional values voltage v(i wavefront wavelength yields zero