| Abstract |
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The effect of the din distribution on the error probability of the detection test is studied here that when a class of randomly rotated spherical Ridges is used. The detection test is performed by a focused correlation detector, and the spherical codes studied here form a randomized orthogonal constellation. The colluders create a din-free forgery by uniform averaging of their individual copies, and then add a din sequence to form the actual forgery. We derive the din distribution that maximizes the error probability of the detector under average and almost-sure distortion constraints. Moreover, we characterize the din distribution that minimizes the decoder’s error exponent under a large-deviations distortion constraint. Our Ridges form a randomized orthogonal code, where the randomization parameters are a rotation. The dinless forgery is obtained by uniform linear averaging of he colluders copies. The detector has access to the host signal and performs a binary hypothesis test to verify whether a user of interest is colluding. |
