## An Application of the Theory of Games to Radar Reception Problems |

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### Contents

A mathematical model of a matched filter radar | 5 |

Performance criteria of the receiver model | 19 |

ratio | 28 |

6 other sections not shown

### Common terms and phrases

2rrW assume autocorrelation function available bands average power bandwidth basic signal considered constant density correlation interval delta function doppler shift echo signal equal expected value expression function space G CD game theory games played given by Eq impulse response interaction spectrum Jammers choose Jamming noise Jamming power limit matched filter radar matched filter receiver mean square doppler mean square value mixed-bilinear noise power optimum mixed strategies optimum probability density optimum pure strategies optimum spectra optimum strategy output noise output voltage payoff matrix peak played in function player power spectral density probability density functions pulse radar operators choose radar receiver radar signal radians per second rectangular game reduced game saddle-point signal function signal power signal spectra signal-to-noise power ratio solution solving games spectral density function spectrum G square doppler error square time error strategy for team t)dT theorem total power variable waveform yields zero