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Detection of Gaussian Signals in White Gaussian Noise
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additive noise ambiguity function approximate Assume bandpass bandwidth block diagram Canonical Realization channel Chapter colored noise complex envelope complex Gaussian process complex Gaussian random compute Consider the model covariance function Cramer-Rao bound define denote density Derive detection problem developed discussion Doppler doubly-spread target Draw a block dual eigenvalues envelope detector estimation problem evaluate example expression Find the optimum frequency Gaussian noise Gaussian process Gaussian random process Gaussian random variable hypotheses IEEE Trans Information Theory integral equation IRE Trans LEC condition likelihood function likelihood ratio test linear matched filter matrix model in Problem Notice obtain optimum receiver output performance pulse Radar received signal received waveform reverberation sample function scattering function Section sequence shown in Fig signal design signal process solution spectral height spectrum SPLOT state-variable stationary process statistically independent suboptimum receiver techniques transmitted signal variance vector white Gaussian white noise zero