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FOURIER SERIES I
CORRELATION AND CORRELATION FUNCTIONS
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ambiguity function 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 limited linear matched filter nco0t normalized correlation obtain odd components odd function orthogonal output signal 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 statistically independent summation symmetry target thermal noise transmitted waveform variance voltage waveform width