Powered by OpenAIRE graph
Found an issue? Give us feedback
addClaim

Channel Probing under a Power Budget

Authors: Jasvinder Singh; Christopher Rose;

Channel Probing under a Power Budget

Abstract

Consider a multi-channel system between a transmitter and receiver where each channel undergoes independent block fading. At the beginning of each fading block, a certain number of slots are used for sending probing signals (training period) allowing the receiver to learn some information about the fading gains. The receiver uses this information to figure out the best channel for transmission (which maximizes the expected SNR at the receiver) and conveys this choice to the transmitter through a delay free noiseless feedback link. One can then ask the following question: given a fixed power budget and number of slots for probing, how should these resources be divided among the channels so as to maximize the expected SNR at receiver? In this paper, we formulate this general problem and analyze it for some simple cases. For a single probing slot and channels with Gaussian fading gains and additive Gaussian noise, we show that the probing strategy varies from probing a single channel to probing all the channels depending on the probe power budget. Since the exact analytical characterization of the optimal probe power distribution is difficult to obtain, we only present partial analytical results and numerical simulations to illustrate the behavior of the optimal probe power distribution. For the multiple slots case, we show that if probing is done in parallel, then there is no additional benefit to be gained over the single slot case. The problem of sequential probing is very similar to the multi-armed bandit problem and is very difficult to analyze. Here we consider a heuristic scheme and numerically compare its performance to the single slot probing case.

Related Organizations
  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    2
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!