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FOURIER SERIES I
CORRELATION AND CORRELATION FUNCTIONS
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amplitude assume autocorrelation function Chapter complex consider convolution correlation coefficient correlation function defined density function derivative determine distribution effective bandwidth effective time duration ellipse energy spectral density envelope detector envelope function equal Equation estimate evaluate example expected value expression fi(t Fourier expansion Fourier series Fourier transform frequency domain frequency modulation gaussian function gaussian pulse gaussian variable identical impulse response input integral in Eq interval large number limited linear matched filter nco0t obtain odd components odd function orthogonal output signal parameters peak periodic phase characteristic phase term plotted polarity reversal power spectral density radar random variable range and velocity ratio received signal rect rectangular function rectangular pulse relationship result sample function shown in Fig signal energy simple sine function spectral autocorrelation function spectrum square-law statistically independent summation symmetry target transmitted waveform unity variance voltage waveform width