Age of Channel State Information for Collaborative Beamforming

M Lipski, C Kam, S Kompella… - Proceedings of the Twenty …, 2024 - dl.acm.org
M Lipski, C Kam, S Kompella, T Ephremides
Proceedings of the Twenty-fifth International Symposium on Theory …, 2024dl.acm.org
We examine a simplified distributed collaborative beamforming (DCB) system with two
transmitters sending data over independent channels with significant time-varying phase
distortion. The transmitters sample the state of their respective channels using a periodic
sounding waveform sent by the receiver and use the last sensed state along with the sample
age to correct for the channel phase distortion. As the age of the last sampled channel state
increases, the transmitters are correctly estimating the current state with decreasing …
We examine a simplified distributed collaborative beamforming (DCB) system with two transmitters sending data over independent channels with significant time-varying phase distortion. The transmitters sample the state of their respective channels using a periodic sounding waveform sent by the receiver and use the last sensed state along with the sample age to correct for the channel phase distortion. As the age of the last sampled channel state increases, the transmitters are correctly estimating the current state with decreasing likelihood, leading to reduced beamforming gain. However, because sensing and transmitting must occur on the same channel, the transmitters cannot both send data and sample the channel at the same time. As a result, the cost associated with channel sensing is the transmitters not sending data for some duration; this compromise is embodied by the frame-averaged expected beamforming gain. Expressions for instantaneous and averaged expected gain are developed, and an example is presented to demonstrate finding the optimal sensing period and how the optimal sensing period can change depending on the last sensed states of the channels.
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