## Sophisticated signals and the uncertainty principle in radar |

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### Contents

Pulse Compression Signals 1 Optimal Reception of SignalsMatched Filter | 1 |

2 Response of a Pulsed Signal to a Matched Filter Correlation Method | 6 |

3 Optimal Reception of FrequencyModulated Pulse Signals | 10 |

Copyright | |

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### Common terms and phrases

accuracy and resolution ambiguity function amplitude antenna pattern approximation arbitrary assumed autocorrelation function Barker codes circuit coefficients complex components compression ratio condition Consequently considered coordinates correlation function correlation integral corresponds criterion cross section defined depends determined eigenvalue envelope equation estimate expression factor finite FM signal Fourier transform frequency band frequency characteristic frequency modulation func Gaussian given input signal instantaneous frequency integral interval linear magnitude matched filter matrix maximum negentropy noise obtain optimal receiver parameters particle phase errors polynomial possible power spectrum properties pulse duration quantum physics quasi-optimal radar range and range realizable received signal rectangular reflected signal result S(co shown side lobes side-lobe level signal energy signal form signal s(t signal spectrum signal-to-noise ratio solution sophisticated signals spectra spectral density spectrum width spheroidal functions stationary phase method substantially target theorem tion uncertainty principle uncertainty relationship values vector wave function