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Book ; Online: Feedback Capacity of OU-Colored AWGN Channels

Su, Jun / Han, Guangyue / Shamai, Shlomo

2023

Abstract: We derive an explicit feedback capacity formula for the OU-Colored AWGN channel. Among many others, this result shows that at least in some cases, the continuous-time Schalkwijk-Kailath coding scheme achieves the feedback capacity for such a channel, and ...

Abstract	We derive an explicit feedback capacity formula for the OU-Colored AWGN channel. Among many others, this result shows that at least in some cases, the continuous-time Schalkwijk-Kailath coding scheme achieves the feedback capacity for such a channel, and feedback may not increase the capacity of a continuous-time ACGN channel even if the noise process is colored.
Keywords	Computer Science - Information Theory
Publishing date	2023-02-25
Publishing country	us
Document type	Book ; Online
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Article ; Online: On Continuous-Time Gaussian Channels.

Liu, Xianming / Han, Guangyue

Entropy (Basel, Switzerland)

2019 Volume 21, Issue 1

Abstract: A continuous-time white Gaussian channel can be formulated using a white Gaussian noise, and a conventional way for examining such a channel is the sampling approach based on the Shannon-Nyquist sampling theorem, where the original continuous-time ... ...

Abstract	A continuous-time white Gaussian channel can be formulated using a white Gaussian noise, and a conventional way for examining such a channel is the sampling approach based on the Shannon-Nyquist sampling theorem, where the original continuous-time channel is converted to an equivalent discrete-time channel, to which a great variety of established tools and methodology can be applied. However, one of the key issues of this scheme is that continuous-time feedback and memory cannot be incorporated into the channel model. It turns out that this issue can be circumvented by considering the Brownian motion formulation of a continuous-time white Gaussian channel. Nevertheless, as opposed to the white Gaussian noise formulation, a link that establishes the information-theoretic connection between a continuous-time channel under the Brownian motion formulation and its discrete-time counterparts has long been missing. This paper is to fill this gap by establishing causality-preserving connections between continuous-time Gaussian feedback/memory channels and their associated discrete-time versions in the forms of sampling and approximation theorems, which we believe will play important roles in the long run for further developing continuous-time information theory. As an immediate application of the approximation theorem, we propose the so-called approximation approach to examine continuous-time white Gaussian channels in the point-to-point or multi-user setting. It turns out that the approximation approach, complemented by relevant tools from stochastic calculus, can enhance our understanding of continuous-time Gaussian channels in terms of giving alternative and strengthened interpretation to some long-held folklore, recovering "long-known" results from new perspectives, and rigorously establishing new results predicted by the intuition that the approximation approach carries. More specifically, using the approximation approach complemented by relevant tools from stochastic calculus, we first derive the capacity regions of continuous-time white Gaussian multiple access channels and broadcast channels, and we then analyze how feedback affects their capacity regions: feedback will increase the capacity regions of some continuous-time white Gaussian broadcast channels and interference channels, while it will not increase capacity regions of continuous-time white Gaussian multiple access channels.
Language	English
Publishing date	2019-01-14
Publishing country	Switzerland
Document type	Journal Article
ZDB-ID	2014734-X
ISSN	1099-4300 ; 1099-4300
ISSN (online)	1099-4300
ISSN	1099-4300
DOI	10.3390/e21010067
Database	MEDical Literature Analysis and Retrieval System OnLINE

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Article ; Online: Surveillance of SARS-CoV-2 in wastewater by quantitative PCR and digital PCR: a case study in Shijiazhuang city, Hebei province, China.

Chai, Xiaoru / Liu, Shiyou / Liu, Chao / Bai, Jiaxuan / Meng, Juntao / Tian, Hong / Han, Xu / Han, Guangyue / Xu, Xiangdong / Li, Qi

Emerging microbes & infections

2024 Volume 13, Issue 1, Page(s) 2324502

Abstract: In this study, we reported the first long-term monitoring of SARS-CoV-2 in wastewater in Mainland China from November 2021 to October 2023. The city of Shijiazhuang was employed for this case study. We developed a triple reverse transcription droplet ... ...

Abstract	In this study, we reported the first long-term monitoring of SARS-CoV-2 in wastewater in Mainland China from November 2021 to October 2023. The city of Shijiazhuang was employed for this case study. We developed a triple reverse transcription droplet digital PCR (RT-ddPCR) method using triple primer-probes for simultaneous detection of the N1 gene, E gene, and Pepper mild mottle virus (PMMoV) to achieve accurate quantification of SARS-CoV-2 RNA in wastewater. Both the RT-ddPCR method and the commercial multiplex reverse transcription quantitative polymerase chain reaction (RT-qPCR) method were implemented for the detection of SARS-CoV-2 in wastewater in Shijiazhuang City over a 24-month period. Results showed that SARS-CoV-2 was detected for the first time in the wastewater of Shijiazhuang City on 10 November 2022. The peak of COVID-19 cases occurred in the middle of December 2022, when the concentration of SARS-CoV-2 in the wastewater was highest. The trend of virus concentration increases and decreases forming a "long-tailed" shape in the COVID-19 outbreak and recession cycle. The results indicated that both multiplex RT-ddPCR and RT-qPCR are effective in detecting SARS-CoV-2 in wastewater, but RT-ddPCR is capable of detecting low concentrations of SARS-CoV-2 in wastewater which is more efficient. The SARS-CoV-2 abundance in wastewater is correlated to clinical data, outlining the public health utility of this work.HighlightsFirst long-term monitoring of SARS-CoV-2 in wastewater in Mainland ChinaCOVID-19 outbreak was tracked in Shijiazhuang City from outbreak to containmentWastewater was monitored simultaneously using RT-ddPCR and RT-qPCR methodsTriple primer-probe RT-ddPCR detects N1 and E genes of SARS-CoV-2 and PMMoV.
MeSH term(s)	Humans ; SARS-CoV-2/genetics ; Wastewater ; COVID-19/diagnosis ; COVID-19/epidemiology ; RNA, Viral/genetics ; China/epidemiology ; Multiplex Polymerase Chain Reaction ; COVID-19 Testing ; Tobamovirus
Chemical Substances	Wastewater ; RNA, Viral
Language	English
Publishing date	2024-03-11
Publishing country	United States
Document type	Journal Article
ZDB-ID	2681359-2
ISSN	2222-1751 ; 2222-1751
ISSN (online)	2222-1751
ISSN	2222-1751
DOI	10.1080/22221751.2024.2324502
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Book ; Online: Isometries and MacWilliams Extension Property for Weighted Poset Metric

Xu, Yang / Kan, Haibin / Han, Guangyue

2022

Abstract: Let $\mathbf{H}$ be the cartesian product of a family of left modules over a ring $S$, indexed by a finite set $\Omega$. We are concerned with the $(\mathbf{P},\omega)$-weight on $\mathbf{H}$, where $\mathbf{P}=(\Omega,\preccurlyeq_{\mathbf{P}})$ is a ... ...

Abstract	Let $\mathbf{H}$ be the cartesian product of a family of left modules over a ring $S$, indexed by a finite set $\Omega$. We are concerned with the $(\mathbf{P},\omega)$-weight on $\mathbf{H}$, where $\mathbf{P}=(\Omega,\preccurlyeq_{\mathbf{P}})$ is a poset and $\omega:\Omega\longrightarrow\mathbb{R}^{+}$ is a weight function. We characterize the group of $(\mathbf{P},\omega)$-weight isometries of $\mathbf{H}$, and give a canonical decomposition for semi-simple subcodes of $\mathbf{H}$ when $\mathbf{P}$ is hierarchical. We then study the MacWilliams extension property (MEP) for $(\mathbf{P},\omega)$-weight. We show that the MEP implies the unique decomposition property (UDP) of $(\mathbf{P},\omega)$, which further implies that $\mathbf{P}$ is hierarchical if $\omega$ is identically $1$. For the case that either $\mathbf{P}$ is hierarchical or $\omega$ is identically $1$, we show that the MEP for $(\mathbf{P},\omega)$-weight can be characterized in terms of the MEP for Hamming weight, and give necessary and sufficient conditions for $\mathbf{H}$ to satisfy the MEP for $(\mathbf{P},\omega)$-weight when $S$ is an Artinian simple ring (either finite or infinite). When $S$ is a finite field, in the context of $(\mathbf{P},\omega)$-weight, we compare the MEP with other coding theoretic properties including the MacWilliams identity, Fourier-reflexivity of partitions and the UDP, and show that the MEP is strictly stronger than all the rest among them. Comment: arXiv admin note: text overlap with arXiv:2201.10828
Keywords	Computer Science - Information Theory
Subject code	006
Publishing date	2022-02-03
Publishing country	us
Document type	Book ; Online
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Book ; Online: Reflexivity of Partitions Induced by Weighted Poset Metric and Combinatorial Metric

Xu, Yang / Kan, Haibin / Han, Guangyue

2022

Abstract: Let $\mathbf{H}$ be the Cartesian product of a family of finite abelian groups. Via a polynomial approach, we give sufficient conditions for a partition of $\mathbf{H}$ induced by weighted poset metric to be reflexive, which also become necessary for ... ...

Abstract	Let $\mathbf{H}$ be the Cartesian product of a family of finite abelian groups. Via a polynomial approach, we give sufficient conditions for a partition of $\mathbf{H}$ induced by weighted poset metric to be reflexive, which also become necessary for some special cases. Moreover, by examining the roots of the Krawtchouk polynomials, we establish non-reflexive partitions of $\mathbf{H}$ induced by combinatorial metric. When $\mathbf{H}$ is a vector space over a finite field $\mathbb{F}$, we consider the property of admitting MacWilliams identity (PAMI) and the MacWilliams extension property (MEP) for partitions of $\mathbf{H}$. With some invariance assumptions, we show that two partitions of $\mathbf{H}$ admit MacWilliams identity if and only if they are mutually dual and reflexive, and any partition of $\mathbf{H}$ satisfying the MEP is in fact an orbit partition induced by some subgroup of $\Aut_{\mathbb{F}}(\mathbf{H})$, which is necessarily reflexive. As an application of the aforementioned results, we establish partitions of $\mathbf{H}$ induced by combinatorial metric that do not satisfy the MEP, which further enable us to provide counter-examples to a conjecture proposed by Pinheiro, Machado and Firer in \cite{39}.
Keywords	Computer Science - Information Theory
Subject code	006
Publishing date	2022-01-26
Publishing country	us
Document type	Book ; Online
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Book ; Online: Renyi Entropy Rate of Stationary Ergodic Processes

Wu, Chengyu / Li, Yonglong / Xu, Li / Han, Guangyue

2022

Abstract: In this paper, we examine the Renyi entropy rate of stationary ergodic processes. For a special class of stationary ergodic processes, we prove that the Renyi entropy rate always exists and can be polynomially approximated by its defining sequence; ... ...

Abstract	In this paper, we examine the Renyi entropy rate of stationary ergodic processes. For a special class of stationary ergodic processes, we prove that the Renyi entropy rate always exists and can be polynomially approximated by its defining sequence; moreover, using the Markov approximation method, we show that the Renyi entropy rate can be exponentially approximated by that of the Markov approximating sequence, as the Markov order goes to infinity. For the general case, by constructing a counterexample, we disprove the conjecture that the Renyi entropy rate of a general stationary ergodic process always converges to its Shannon entropy rate as {\alpha} goes to 1.
Keywords	Computer Science - Information Theory
Publishing date	2022-07-15
Publishing country	us
Document type	Book ; Online
Database	BASE - Bielefeld Academic Search Engine (life sciences selection)

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Book ; Online: The Langberg-M\'{e}dard Multiple Unicast Conjecture

Cai, Kai / Han, Guangyue

Stable $3$-Pair Networks

2020

Abstract: The Langberg-M\'{e}dard multiple unicast conjecture claims that for a strongly reachable $k$-pair network, there exists a multi-flow with rate $(1,1,\dots,1)$. In this paper, we show that the conjecture holds true for {\em stable} $3$-pair networks. ...

Abstract	The Langberg-M\'{e}dard multiple unicast conjecture claims that for a strongly reachable $k$-pair network, there exists a multi-flow with rate $(1,1,\dots,1)$. In this paper, we show that the conjecture holds true for {\em stable} $3$-pair networks.
Keywords	Computer Science - Information Theory ; Mathematics - Combinatorics
Publishing date	2020-01-07
Publishing country	us
Document type	Book ; Online
Database	BASE - Bielefeld Academic Search Engine (life sciences selection)

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Article ; Online: Expression of angiotensin converting enzyme 2 mRNA in different SARS-CoV-2 infection states and times.

Guo, Nana / Li, Xue / Han, Zhanying / Yu, Qiuli / Zhang, Yanbo / Liu, Shiyou / Xu, Han / Han, Guangyue / Li, Qi

Journal of biomolecular structure & dynamics

2023 Volume 41, Issue 20, Page(s) 11255–11261

Abstract: To measure the expression of angiotensin converting enzyme 2 (ACE2) mRNA in SARS-CoV-2 infection with different infection status and at different stages during infection, we used RT-qP CR to measure the expression of ACE2 mRNA. Measurements were analyzed ...

Abstract	To measure the expression of angiotensin converting enzyme 2 (ACE2) mRNA in SARS-CoV-2 infection with different infection status and at different stages during infection, we used RT-qP CR to measure the expression of ACE2 mRNA. Measurements were analyzed by two-way repeated measures analysis of variance (RMANOVA). Expression of ACE2 mRNA was downregulated in initial stages of SARS-CoV-2 infection both in the asymptomatic infection (ASY) group and the confirmed cases (CON) group (t=-8.0845, P < 0.0001; t=-8.1904, P < 0.0001, respectively). The expression of ACE2 mRNA in the incubation period of CON group was lower compared with the intinal period of ASY group (F = 6.084, p = 0.016, partialη2 = 0.070). Relative expression of ACE2 mRNA was upregulated at the late stage of SARS-CoV-2 infection in the ASY and CON groups (F = 23.489, p = 0.000, partialη2 = 0.225; F = 46.555, p = 0.000, partialη2 = 0.365, respectively). The relative expression of ACE2 mRNA was down-regulated (mean ± SEM:0.69 ± 0.03) after inoculation with SARSCoV- 2 Spike pseudovirus, and there was a statistical difference (one-way t test, mean diffience =-0.31, 95%CI: -0.37˜-0.24, t=-8.1904, P < 0.0001). The expression of ACE2 mRNA is downregulated in the initial stage of SARS-CoV-2 infection, and then upregulated in the late stage of SARS-CoV-2 infection. The lower expression of ACE2 mRNA during the incubation period can lead to clinical symptoms. Downregulation of ACE2 mRNA was related to the interaction between SARS-CoV-2 S protein and ACE2.Communicated by Ramaswamy H. Sarma.
MeSH term(s)	Humans ; COVID-19/genetics ; Angiotensin-Converting Enzyme 2/genetics ; SARS-CoV-2/genetics ; RNA, Messenger/genetics ; RNA, Messenger/metabolism ; Peptidyl-Dipeptidase A/genetics ; Peptidyl-Dipeptidase A/metabolism
Chemical Substances	spike protein, SARS-CoV-2 ; Angiotensin-Converting Enzyme 2 (EC 3.4.17.23) ; RNA, Messenger ; Peptidyl-Dipeptidase A (EC 3.4.15.1)
Language	English
Publishing date	2023-01-10
Publishing country	England
Document type	Journal Article ; Research Support, Non-U.S. Gov't
ZDB-ID	49157-3
ISSN	1538-0254 ; 0739-1102
ISSN (online)	1538-0254
ISSN	0739-1102
DOI	10.1080/07391102.2022.2160821
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Book ; Online: A New Proof of Hopf's Inequality Using a Complex Extension of the Hilbert Metric

Han, Wendi / Han, Guangyue

2019

Abstract: It is well known from the Perron-Frobenius theory that the spectral gap of a positive square matrix is positive. In this paper, we give a more quantitative characterization of the spectral gap. More specifically, using a complex extension of the Hilbert ... ...

Abstract	It is well known from the Perron-Frobenius theory that the spectral gap of a positive square matrix is positive. In this paper, we give a more quantitative characterization of the spectral gap. More specifically, using a complex extension of the Hilbert metric, we show that the so-called spectral ratio of a positive square matrix is upper bounded by its Birkhoff contraction coefficient, which in turn yields a lower bound on its spectral gap.
Keywords	Mathematics - Spectral Theory ; Computer Science - Information Theory
Publishing date	2019-06-11
Publishing country	us
Document type	Book ; Online
Database	BASE - Bielefeld Academic Search Engine (life sciences selection)

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Article ; Online: Field Evaluation of a Duplex RT-RAA Assay for Rapid Detection of SARS-CoV-2 - Hebei Province, China, January 2021.

Zhang, Ruiqing / Qi, Shunxiang / Li, Jiandong / Liu, Shiyou / Han, Guangyue / Shen, Xinxin / Li, Qi / Xu, Wenbo / Ma, Xuejun

China CDC weekly

2022 Volume 4, Issue 23, Page(s) 504–508

Abstract: Introduction: Recently, a local cluster epidemic has occurred in Shijiazhuang City, Hebei Province. Failure to promptly identify patients with fever in rural areas was the major reason for this epidemic.: Methods: We presented the field evaluation of ...

Abstract	Introduction: Recently, a local cluster epidemic has occurred in Shijiazhuang City, Hebei Province. Failure to promptly identify patients with fever in rural areas was the major reason for this epidemic. Methods: We presented the field evaluation of a new real-time reverse transcription recombinase-aided amplification (RT-RAA) kit incorporating an endogenous internal control in a single-tube format, completed at the Hebei CDC from January 17, 2021 to January 27, 2021. Results: We evaluated the diagnostic performance of RT-RAA assay using automatic extracted RNA of 808 clinical samples. Compared with reverse transcriptase real-time quantitative PCR (qRT-PCR), RT-RAA kit achieved 92.41% sensitivity, 98.78% specificity and a 96.29% coincidence rate, demonstrating an excellent agreement between the RT-RAA assay and qRT-PCR assay. Furthermore, 58 samples were extracted using a manual extraction method within 5 minutes, but only samples with high nucleic acid concentration (cycle threshold value not higher than 32) could be stably detected. Discussion: The RT-RAA is more suitable to meet the needs of rapid, sensitive, and accurate detection in community-level medical institutions.
Language	English
Publishing date	2022-05-19
Publishing country	China
Document type	Journal Article
ISSN	2096-7071
ISSN (online)	2096-7071
DOI	10.46234/ccdcw2022.111
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