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The asymptotic error probability for transmission of orthogonal signals over the generalized incoherent channel

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The probability of error for the transmission of one of M -orthogonal, equally likely, equal-energy signals over the white Gaussian noise channel is known. For large values of T it is shown that this result is asymptotically equivalent to the error probability for the same signal set transmitted over a different channel, termed here the generalized incoherent channel of order v . For v = 2 this channel is identical to the phase incoherent channel. This problem, for larger values of v , also arises in a number of other applications, some of which are given.

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Information Theory, IEEE Transactions on  (Volume:15 ,  Issue: 1 )