High-SNR Capacity of MIMO Optical Intensity Channels: A Sphere-Packing Perspective

作者：Yang, Sufang; Li, Longguang^*; Wang, Jintao

来源：IEEE Communications Letters, 2022, 26(10): 2302-2306.

DOI：10.1109/LCOMM.2022.3191756

• Optical intensity channel
• channel capacity
• peak
• and average-power constraints
• sphere packing

This letter investigates the capacity for the multiple-input multiple-output (MIMO) optical intensity channels in the high signal-to-noise ratio (SNR) regime from a sphere-packing (SP) perspective. In such a channel, the inputs represent optical intensities, hence are nonnegative. Considering the peak- and average-power constraints for the inputs, the high-SNR capacity can be expressed in terms of the volume of an image signal space through an SP argument. When the number of transmit antennas n(T) and receive antennas n(R) satisfies n(T) <= n(R), the image-space volume is derived in terms of singular values of the channel matrix. While for n(T) > n(R), the image-space volume is derived by decomposing the image space into multiple non-overlapping subpolytopes, whose volumes can be conveniently calculated.

• 单位
  清华大学