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Jun 28, 2018
06/18

by
Assaf Ben-Yishai; Ofer Shayevitz

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We study the problem of communication over an additive white Gaussian noise (AWGN) channel with an AWGN feedback channel. When the feedback channel is noiseless, the classic Schalkwijk-Kailath (S-K) scheme is known to achieve capacity in a simple sequential fashion, while attaining reliability superior to non-feedback schemes. In this work, we show how simplicity and reliability can be attained even when the feedback is noisy, provided that the feedback channel is sufficiently better than the...

Topics: Information Theory, Computing Research Repository, Mathematics

Source: http://arxiv.org/abs/1509.03085

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13

Jun 27, 2018
06/18

by
Assaf Ben-Yishai; Ofer Shayevitz

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We consider the problem of communication over a two-user Additive White Gaussian Noise Broadcast Channel (AWGN-BC) with an AWGN Multiple Access (MAC) active feedback. We describe a constructive reduction from this setup to the well-studied setup of linear-feedback coding over the AWGN-BC with noiseless feedback (and different parameters). This reduction facilitates the design of linear-feedback coding schemes in the (passive) noiseless feedback regime, which can then be easily and...

Topics: Information Theory, Computing Research Repository, Mathematics

Source: http://arxiv.org/abs/1503.05297

10
10.0

Jun 26, 2018
06/18

by
Assaf Ben-Yishai; Ofer Shayevitz

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Consider a pair of terminals connected by two independent (feedforward and feedback) Additive White Gaussian Noise (AWGN) channels, and limited by individual power constraints. The first terminal would like to reliably send information to the second terminal at a given rate. While the reliability in the cases of no feedback and of noiseless feedback is well studied, not much is known about the case of noisy feedback. In this work, we present an interactive scheme that significantly improves the...

Topics: Computing Research Repository, Mathematics, Information Theory

Source: http://arxiv.org/abs/1501.06671

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5.0

Jun 30, 2018
06/18

by
Assaf Ben-Yishai; Ofer Shayevitz

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Consider a pair of terminals connected by two independent additive white Gaussian noise channels, and limited by individual power constraints. The first terminal would like to reliably send information to the second terminal, within a given error probability. We construct an explicit interactive scheme consisting of only (non-linear) scalar operations, by endowing the Schalkwijk-Kailath noiseless feedback scheme with modulo arithmetic. Our scheme achieves a communication rate close to the...

Topics: Mathematics, Computing Research Repository, Information Theory

Source: http://arxiv.org/abs/1407.8022