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Detecting the presence of a white Gaussian signal distorted by a noisy time-varying channel is addressed by means of three different detectors. First, the generalized likelihood ratio test (GLRT) is found for the case where the channel has no temporal structure, resulting in the well-known Bartlett's test. Then it is shown that, under the transformation group given by scaling factors, a locally most...
We propose an alternative formulation for an already known approach of continuum fusion of detectors. Our approach is based on min-max and max-min detectors that turn out to be equivalent to continuum fused detectors. The new formulation is easier for analytical purposes. We prove a theorem about the relationship between min-max and max-min detectors that would have been difficult to obtain using...
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