Capacity Bounds and High-SNR Capacity of MIMO Intensity-Modulation Optical Channels

Handle URI:
http://hdl.handle.net/10754/624895
Title:
Capacity Bounds and High-SNR Capacity of MIMO Intensity-Modulation Optical Channels
Authors:
Chaaban, Anas ( 0000-0002-8713-5084 ) ; Rezki, Zouheir; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
Abstract:
The capacity of the intensity modulation direct detection multiple-input multiple-output channel is studied. Therein, the nonnegativity constraint of the transmit signal limits the applicability of classical schemes, including precoding. Thus, new ways are required for deriving capacity lower and upper bounds for this channel. To this end, capacity lower bounds are developed by deriving the achievable rates of two precoding-free schemes: Channel inversion and QR decomposition. The achievable rate of a DC-offset SVD-based scheme is also derived as a benchmark. Then, capacity upper bounds are derived and compared against the lower bounds. As a result, the capacity at high signal-to-noise ratio (SNR) is characterized for the case where the number of transmit apertures is not larger than the number of receive apertures, and is shown to be achievable by the QR decomposition scheme. This is shown for a channel with average intensity or peak intensity constraints. For a channel with both constraints, the high-SNR capacity is approximated within a small gap. Extensions to a channel with more transmit apertures than receive apertures are discussed, and capacity bounds for this case are derived.
KAUST Department:
CEMSE Division
Issue Date:
Jun-2017
Type:
Technical Report
Appears in Collections:
Technical Reports

Full metadata record

DC FieldValue Language
dc.contributor.authorChaaban, Anasen
dc.contributor.authorRezki, Zouheiren
dc.contributor.authorAlouini, Mohamed-Slimen
dc.date.accessioned2017-06-11T09:01:30Z-
dc.date.available2017-06-11T09:01:30Z-
dc.date.issued2017-06-
dc.identifier.urihttp://hdl.handle.net/10754/624895-
dc.description.abstractThe capacity of the intensity modulation direct detection multiple-input multiple-output channel is studied. Therein, the nonnegativity constraint of the transmit signal limits the applicability of classical schemes, including precoding. Thus, new ways are required for deriving capacity lower and upper bounds for this channel. To this end, capacity lower bounds are developed by deriving the achievable rates of two precoding-free schemes: Channel inversion and QR decomposition. The achievable rate of a DC-offset SVD-based scheme is also derived as a benchmark. Then, capacity upper bounds are derived and compared against the lower bounds. As a result, the capacity at high signal-to-noise ratio (SNR) is characterized for the case where the number of transmit apertures is not larger than the number of receive apertures, and is shown to be achievable by the QR decomposition scheme. This is shown for a channel with average intensity or peak intensity constraints. For a channel with both constraints, the high-SNR capacity is approximated within a small gap. Extensions to a channel with more transmit apertures than receive apertures are discussed, and capacity bounds for this case are derived.en
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleCapacity Bounds and High-SNR Capacity of MIMO Intensity-Modulation Optical Channelsen
dc.typeTechnical Reporten
dc.contributor.departmentCEMSE Divisionen
dc.contributor.institutionECE Department, University of Idaho, Moscow, ID, USAen
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