Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reciprocal Sequences as CM Sequences   The conditionally Markov (CM) sequence contains several classes, including
the reciprocal sequence. Reciprocal sequences have been widely used in many
areas of engineering, including image processing, acausal systems, intelligent
systems, and intent inference. In this paper, the reciprocal sequence is
studied from the CM sequence point of view, which is different from the
viewpoint of the literature and leads to more insight into the reciprocal
sequence. Based on this viewpoint, new results, properties, and easily
applicable tools are obtained for the reciprocal sequence. The nonsingular
Gaussian (NG) reciprocal sequence is modeled and characterized from the CM
viewpoint. It is shown that an NG sequence is reciprocal if and only if it is
both $CM_L$ and $CM_F$ (two special classes of CM sequences). New dynamic
models are presented for the NG reciprocal sequence. These models (unlike the
existing one, which is driven by colored noise) are driven by white noise and
are easily applicable. As a special reciprocal sequence, the Markov sequence is
also discussed. Finally, it can be seen how all CM sequences, including Markov
and reciprocal, are unified.

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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga