Detection and Initial Tracking of Narrow-Band Signals in Noise.
TECHNOLOGY SERVICE CORP SANTA MONICA CALIF
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Suppose a signal is observed for a time Tsec. It consists of white Gaussian noise and possibly the presence of one or more sine waves or narrow-band signals. It is desired to decide whether any sine waves or narrow-band signals are present If they are present, their amplitudes and frequencies are of interest if one wishes to track them past the time T. Also they may be of interest for identification purposes. Modeling the sine waves or narrow-band signals as sine waves in all cases, this report presents a tutorial on the subject of detecting the presence of the sine waves and estimating their frequencies and amplitudes. It is shown that the use of a bank of narrow-band filters, each of bandwidth 1T Hz and separated somewhat closer than 1T, comes close to detecting the presence of the sine waves in an optimum manner. Near-optimum estimates of the amplitude and frequencies of the sine waves when present can be obtained from this same bank of filters. Author