Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Unambiguous Distance in a Phase-based Ranging System with Hopping
  Frequencies   It is a challenge to specify unambiguous distance (UD) in a phase-based
ranging system with hopping frequencies (PRSHF). In this letter, we propose to
characterize the UD in a PRSHF by the probability that it takes on its maximum
value. We obtain a very simple and elegant expression of the probability with
growth estimation techniques from analytic number theory. It is revealed that
the UD in a PRSHF usually takes on the maximum value with as few as 10
frequencies in measurement, almost independent of the specific distribution of
available bandwidth.

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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
26
The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: math
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The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci