Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New Upper Bounds on the Error Probability under ML Decoding for Spinal
  Codes and the Joint Transmission-Decoding System Design   Spinal codes are a type of capacity-achieving rateless codes that have been
proved to approach the Shannon capacity over the additive white Gaussian noise
(AWGN) channel and the binary symmetric channel (BSC). In this paper, we aim to
analyze the bounds on the error probability of Spinal codes and design a joint
transmission-decoding system. First, in the finite block-length regime, we
derive new upper bounds on the Maximum Likelihood (ML) decoding error
probability for Spinal codes over both the AWGN channel and the BSC. Then,
based on the derived bounds, we formulate a rate maximization problem. As the
solution exhibits an incremental-tail-transmission pattern, we propose an
improved transmission scheme, referred to as the thresholded incremental tail
transmission (TITT) scheme. Moreover, we also develop a dynamic TITT-matching
decoding algorithm, called the bubble decoding with memory (BD-M) algorithm, to
reduce the decoding time complexity. The TITT scheme at the transmitter and the
BD-M algorithm at the receiver jointly constitute a dynamic
transmission-decoding system for Spinal code, improving its rate performance
and decoding throughput. Theoretical analysis and simulation results are
provided to verify the superiority of the derived bounds and the proposed joint
transmission-decoding system design.

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The categories of this paper are: alg-geom
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
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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: stat
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th