## Signal Theory and Random Processes |

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### Contents

A Review of Fourier Transforms | 1 |

Linear TimeInvariant Systems | 35 |

Complex Signal Representation | 65 |

Copyright | |

16 other sections not shown

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### Common terms and phrases

autocorrelation function bandpass bandpass signal bandwidth Bayes characteristic function complex envelope consider correlation covariance matrix crosscorrelation crosscorrelation function defined delta function derivative detection energy Equation error probability Example expressed finite Fourier transform func Gaussian process Gaussian random process Gaussian random variables gi(t given Hilbert transform hypothesis impulse response input integral inverse joint probability density jointly Gaussian random Let x(t likelihood function likelihood ratio linear functional lowpass matched filter maximum likelihood estimator mean square mean value noise ratio obtained output power density spectrum pre-envelope probability density function probability distribution function Problem properties quadrature modulation random vector relative level Rx(t sample function Section sense stationary random shows signal to noise signal x(t ſº stationary random process statistically independent Sx(f test statistic theorem tion transfer function variance wide sense stationary write xc(t xs(t zero mean