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Non-coherent wireless communications : fundamental limits and system design

Abstract : In wireless communication over fading channels, especially multiple-antenna communication, the instantaneous knowledge of channel coefficients, so-called channel state information (CSI), is critical because it enables to adapt the transmission and reception to current channel conditions. The communication with a priori CSI at the receiver is said to be coherent. In practice, however, CSI is not granted for free prior to communication and needs to be estimated at a cost that should not be ignored, especially in a highly mobile environment. Thus, communication without a priori CSI, also known as noncoherent communication, is a more practical and general framework. This thesis contributes to the understanding of the theoretical limits of noncoherent communications, as well as the design of a practical noncoherent communication system in block fading. We consider three scenarios: the point-topoint (P2P) channel, the multiple-access channel (MAC), and the broadcast channel (BC).In the first part, we study the fundamental limits of noncoherent communications in terms of achievable data rate and degrees of freedom (DoF). We consider generic block fading in which the channel has finite differential entropy and finite second moment. First, we derive the optimal DoF for the noncoherent multiple-input multiple-output (MIMO) P2P channel by using the duality approach to bound the input-output mutual information. Second, using a similar duality approach, we derive the optimal DoF region for the two-user noncoherent single-input multiple-output (SIMO) MAC, which can be achieved by time sharing between simple pilot-based schemes. Third, we derive achievable rate and DoF regions for the noncoherent MIMO BC with spatially correlated fading by exploiting the transmit correlation diversity, which is the difference between the correlation experienced by different users. In doing so, we carefully design pilot-based transmission schemes based on rate splitting, product superposition, and a combination of them to effectively transmit signals in both the common and mutually exclusive parts of the correlation subspaces. In the second part, we design the constellation and efficient detection schemes for noncoherent communications over Rayleigh block fading channel. First, we propose a structured Grassmannian constellation for the SIMO P2P channel that is simple to generate, has high packing efficiency, admits a simple yet effective binary labeling, and allows for efficient soft and hard detection. Second, we investigate joint constellation design for the MIMO MAC. We introduce some simple and effective design criteria so as to minimize the joint detection error, and propose some simple constellation constructions. Third, we propose a noncoherent multi-user soft detection scheme for the SIMO MAC in spatially correlated Rayleigh fading based on expectation propagation approximate inference. This scheme has polynomial complexity in the channel dimension while producing accurate approximate per-user posterior marginals leading to near-optimal error performance.
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Submitted on : Thursday, July 16, 2020 - 10:24:13 AM
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Khac Hoang Ngo. Non-coherent wireless communications : fundamental limits and system design. Signal and Image processing. Université Paris-Saclay, 2020. English. ⟨NNT : 2020UPASC031⟩. ⟨tel-02900446⟩

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