On quantum detection and the square-root measurement

Eldar, Yonina C.; Forney, G. David

doi:10.1109/18.915636

Cited by 211 publications

(303 citation statements)

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“…This problem has also been solved in the context of quantum detection [9] and in the context of general inner product shaping [6]; the solution in [6,9] is equal to the OMF signals corresponding to the set transformation given by (11). We may then interpret the OMF demodulator as a correlation demodulator matched to a set of orthonormal signals that are closest in the least-squares sense to the signals s k (t).…”

Section: Omf Signalsmentioning

confidence: 99%

“…Thus, the POMF demodulator consists of a MF demodulator followed by an optimal subspace whitening transformation given by (9). Note, that in Fig.…”

Section: The Projected Orthogonal Matched ÿLter Demodulatormentioning

confidence: 99%

“…Finally, we note that based on results derived in the context of quantum detection [9] it can be shown that in many cases the OMF and POMF demodulators have an additional property, analogous to the SNR property of the MF demodulator.…”

Section: Theorem 4 (Pomf Demodulator)mentioning

confidence: 99%

“…andŴ s is the optimal MMSE whitening transformation given by (9). We refer to the signalsf k (t) as the POMF signals.…”

Section: Pomf Signalsmentioning

confidence: 99%

“…In Section 6 we show that if the transmitted signals have a strong symmetry property called geometric uniformity [6,9,17], then the OMF and POMF demodulators maximize the total output SNR subject to the constraint that the outputs of the demodulator are uncorrelated on the appropriate space. This provides some additional justiÿcation for this class of receivers.…”

Section: Introductionmentioning

confidence: 99%

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Orthogonal and projected orthogonal matched filter detection

2004

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This paper considers the generic problem of detecting in the presence of additive noise, which one from a set of known signals has been received. In place of the classical matched ÿlter (MF) receiver we propose a modiÿed receiver. When the transmitted signals are linearly independent this receiver is referred to as an orthogonal matched ÿlter (OMF) receiver, and when the transmitted signals are linearly dependent it is referred to as a projected orthogonal matched ÿlter (POMF) receiver. Two equivalent representations of the receiver are developed with di erent implications in terms of implementation. In the ÿrst, the demodulator consists of a MF demodulator followed by an optimal whitening transformation on a space formed by the transmitted signals, that optimally decorrelates the MF outputs prior to detection. In the second, the demodulator consists of a bank of correlators with correlating signals that are projections of a set of orthogonal signals, and are closest in a least-squares sense to the transmitted signals. We provide simulation results that suggest that in certain cases the OMF and POMF receivers can signiÿcantly increase the probability of correct detection over the MF receiver in non-Gaussian noise with only a minor impact on performance in Gaussian noise. ?

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