# Communications over the broadcast channel with limited and delayed feedback : fundamental limits and novel encoders and decoders

Abstract : In many multiuser wireless communications scenarios, good feedback is a crucial ingredient that facilitates improved performance. While being useful, perfect feedback is also hard and time-consuming to obtain. With this challenge as a starting point, the main work of thesis seeks to address the simple yet elusive and fundamental question of HOW MUCH QUALITY of feedback, AND WHEN, must one send to achieve a certain degrees-of-freedom (DoF) performance''. The work manages to concisely describe the DoF region in a very broad setting corresponding to a general feedback process that, at any point in time, may or may not provide channel state information at the transmitter (CSIT) - of some arbitrary quality - for any past, current or future channel (fading) realization. Under standard assumptions, and under the assumption of sufficiently good delayed CSIT, the work concisely captures the effect of the quality of CSIT offered at any time, about any channel. This was achieved for the two user MISO-BC, and was then immediately extended to the MIMO BC and MIMO IC settings. Further work also considers different aspects of communicating with limited feedback, such as the aspect of global CSI at receivers, and the aspect of diversity. In addition to the theoretical limits and novel encoders and decoders, the work applies towards gaining insights on many practical questions.
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• HAL Id : tel-01848798, version 1

### Citation

Jinyuan Chen. Communications over the broadcast channel with limited and delayed feedback : fundamental limits and novel encoders and decoders. Networking and Internet Architecture [cs.NI]. Télécom ParisTech, 2013. English. ⟨NNT : 2013ENST0035⟩. ⟨tel-01848798⟩

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