Exact Performance of Filtered and Weighted Energy Detector with Mismatched Frequency and Time Locations and Characteristics.

摘要

The characteristic function of the output of a filtered and weighted energy detector, subjected to a nonstationary Gaussian input signal in the presence of colored Gaussian noise, is derived in closed form. This result allows and accounts for mismatch in the receiving filter frequency characteristics relative to the received signal and noise spectra. It also allows for uncertainty in the time location and/or duration of the received signal, by way of arbitrary time weighting of the squared filter output. Programs for evaluation of the receiver operating characteristics, for white noise inputs as well as colored noise inputs, are furnished in BASIC and exercised for a number of examples. This approach allows for precise quantitative investigation of the degradation associated with filtered energy detection in the presence of uncertainties.