Broadband Detection of Gaussian Signals
NAVAL UNDERSEA WARFARE CENTER DIV NEWPORT RI
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The well-known deflection coefficient for a stationary Gaussian signal in additive independent, stationary Gaussian noise is derived. The optimal predetection, or Eckart, filter is also derived. It is shown that the least detectable Gaussian signal of specified power is proportional to the normalized square of the noise spectrum. It is also shown that maximally detectable Gaussian signals of specified power must have at least one spectral component of finite power and very narrow bandwidth.
- Statistics and Probability