TY - GEN

T1 - Broadcasting correlated Gaussians

AU - Bross, Shraga

AU - Lapidoth, Amos

AU - Tinguely, Stephan

PY - 2008

Y1 - 2008

N2 - We consider a one-to-two Gaussian broadcasting problem where the transmitter observes a memoryless bi-variate Gaussian source and each receiver wishes to estimate one of the source components. The transmitter describes the source pair by means of an average-power-constrained signal and each receiver observes this signal corrupted by a different additive white Gaussian noise. From its respective observation, Receiver 1 wishes to estimate the first source component and Receiver 2 wishes to estimate the second. We seek to characterize the pairs of expected squared-error distortions that are simultaneously achievable at the two receivers. Our result is that below a certain SNR-threshold an "uncoded scheme" that sends a linear combination of the source components is optimal. We present a lower bound on this threshold in terms of the source correlation and the distortion at the receiver with weaker channel noise.

AB - We consider a one-to-two Gaussian broadcasting problem where the transmitter observes a memoryless bi-variate Gaussian source and each receiver wishes to estimate one of the source components. The transmitter describes the source pair by means of an average-power-constrained signal and each receiver observes this signal corrupted by a different additive white Gaussian noise. From its respective observation, Receiver 1 wishes to estimate the first source component and Receiver 2 wishes to estimate the second. We seek to characterize the pairs of expected squared-error distortions that are simultaneously achievable at the two receivers. Our result is that below a certain SNR-threshold an "uncoded scheme" that sends a linear combination of the source components is optimal. We present a lower bound on this threshold in terms of the source correlation and the distortion at the receiver with weaker channel noise.

UR - http://www.scopus.com/inward/record.url?scp=52349090023&partnerID=8YFLogxK

U2 - 10.1109/isit.2008.4595177

DO - 10.1109/isit.2008.4595177

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AN - SCOPUS:52349090023

SN - 9781424422579

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 1198

EP - 1202

BT - Proceedings - 2008 IEEE International Symposium on Information Theory, ISIT 2008

T2 - 2008 IEEE International Symposium on Information Theory, ISIT 2008

Y2 - 6 July 2008 through 11 July 2008

ER -