Stability Analysis of Interacting Wireless Repeaters
arxiv(2024)
摘要
We consider a wireless network with multiple single-antenna repeaters that
amplify and instantaneously re-transmit the signals they receive to improve the
channel rank and system coverage. Due to the positive feedback formed by
inter-repeater interference, stability could become a critical issue. We
investigate the problem of determining the maximum amplification gain that the
repeaters can use without breaking the system stability. Specifically, we
obtain a bound by using the Gershgorin disc theorem, which reveals that the
maximum amplification gain is restricted by the sum of channel amplitude gains.
We show by case studies the usefulness of the so-obtained bound and provide
insights on how the repeaters should be deployed.
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