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Properties of Self-recoverable Mechanoluminescence Phosphor Ca_(5)Ga_(6)O_(14)∶Eu^(3+) and Its Information Encryption Application
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作者 ZHANG Ting WANG Zhijun +3 位作者 WANG Dawei ZHAO Jinxin YANG Zhiping LI Panlai 《发光学报》 EI CAS CSCD 北大核心 2024年第9期1445-1455,共11页
A novel self-recoverable mechanoluminescent phosphor Ca_(5)Ga_(6)O_(14)∶Eu^(3+) was developed by the high-tem-perature solid-state reaction method,and its luminescence properties were investigated.Ca_(5)Ga_(6)O_(14)... A novel self-recoverable mechanoluminescent phosphor Ca_(5)Ga_(6)O_(14)∶Eu^(3+) was developed by the high-tem-perature solid-state reaction method,and its luminescence properties were investigated.Ca_(5)Ga_(6)O_(14)∶Eu^(3+)can produce red mechanoluminescence,and importantly,it shows good repeatability.The mechanoluminescence of Ca_(5)Ga_(6)O_(14)∶Eu^(3+) results from the piezoelectric field generated inside the material under stress,rather than the charge carriers stored in the traps,which can be confirmed by the multiple cycles of mechanoluminescence tests and heat treatment tests.The mechanoluminescence color can be turned from red to green by co-doping varied concentrations of Tb^(3+),which may be meaningful for encrypted letter writing.The encryption scheme for secure communication was devised by harnessing mechanoluminescence patterns in diverse shapes and ASCII codes,which shows good encryption performance.The results suggest that the mechanoluminescence phosphor Ca_(5)Ga_(6)O_(14)∶Eu^(3+),Tb^(3+)may be applied to the optical information encryption. 展开更多
关键词 PHOSPHOR MECHANOLUMINESCENCE self-recoverable information encryption
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New subspace algorithm for blind channel estimation in OFDM systems
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作者 黄学军 余松煜 毕厚杰 《Journal of Southeast University(English Edition)》 EI CAS 2005年第2期132-135,共4页
In order to increase the transmission efficiency,a subspace-based algorithm for blind channel estimation using second-order statistics is proposed in orthogonal frequency division multiplexing (OFDM) systems.Because t... In order to increase the transmission efficiency,a subspace-based algorithm for blind channel estimation using second-order statistics is proposed in orthogonal frequency division multiplexing (OFDM) systems.Because the transmission equation of OFDM systems does not exactly have the desired structure to directly derive a subspace algorithm,the algorithm first divides the OFDM signals into three parts,then,by exploiting the redundancy introduced by the cyclic prefix (CP) in OFDM signals,a new equation with Toeplitz channel matrix is derived.Based on the equation,a new blind subspace algorithm is developed.Toeplitz structure eases the derivation of the subspace algorithm and practical computation.Moreover the algorithm does not change the existing OFDM system,is robust to channel order overdetermination,and the channel zero locations.The performances are demonstrated by simulation results. 展开更多
关键词 orthogonal frequency division multiplexing (OFDM) blind channel estimation subspace algorithm
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An enhanced iterative joint channel estimation and symbol detection algorithm for OFDM systems 被引量:1
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作者 韩冰 高西奇 尤肖虎 《Journal of Southeast University(English Edition)》 EI CAS 2003年第2期103-107,共5页
For orthogonal frequency division multiplexing (OFDM) wireless communication, the system throughput and data rate are usually limited by pilots, especially in a high mobility environment. In this paper, an enhanced it... For orthogonal frequency division multiplexing (OFDM) wireless communication, the system throughput and data rate are usually limited by pilots, especially in a high mobility environment. In this paper, an enhanced iterative joint channel estimation and symbol detection algorithm is proposed to enhance the system throughput and data rate. With lower pilot power, the proposed scheme increases system throughput firstly, and then the channel estimation and symbol detection proceed iteratively within one OFDM symbol to improve the BER performance. In the proposed algorithm, the original channel estimate of each OFDM symbol is based on the channel estimate of the previous OFDM symbol, thus the variation of the mobile channel is traced efficiently, so the number of pilots in the time domain can be reduced greatly. Besides reducing the system overhead, the proposed algorithm is also shown by simulation to give much better BER performance than the conventional iterative algorithm does. 展开更多
关键词 OFDM channel estimation ITERATION multipath fading channel
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Recovery of Transient Signals in Noise by OptimalThresholding in Wavelet Domain
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作者 梅文博 《Journal of Beijing Institute of Technology》 EI CAS 1997年第3期274-279,共6页
:研究用离散子波变换复原被加性高斯白噪声污染的瞬态信号.在子波域中提出了一种最佳门限方法,该方法涉及到对于波系数的假设检验,利用似然比、奈曼,皮尔逊准则和最小均方差设计该门限,计算机仿真证明,该方法在较低信噪比下复原... :研究用离散子波变换复原被加性高斯白噪声污染的瞬态信号.在子波域中提出了一种最佳门限方法,该方法涉及到对于波系数的假设检验,利用似然比、奈曼,皮尔逊准则和最小均方差设计该门限,计算机仿真证明,该方法在较低信噪比下复原信号的有效性. 展开更多
关键词 n (Department of Electrical and Electronic Enginhaerhg University of Central Lancashire Preston PR1 2HE England) Abstract: The recovery of transient signals corrupted by additive white Gaussian noise by means of the discrete wavelet transform was studi
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Structural Complexity Analysis of Information Systems Based on Petri Nets 被引量:3
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作者 王景光 甘仞初 《Journal of Beijing Institute of Technology》 EI CAS 1999年第4期416-423,共8页
Aim To present a quantitative method for structural complexity analysis and evaluation of information systems. Methods Based on Petri net modeling and analysis techniques and with the aid of mathematical tools in ge... Aim To present a quantitative method for structural complexity analysis and evaluation of information systems. Methods Based on Petri net modeling and analysis techniques and with the aid of mathematical tools in general net theory(GNT), a quantitative method for structure description and analysis of information systems was introduced. Results The structural complexity index and two related factors, i.e. element complexity factor and connection complexity factor were defined, and the relations between them and the parameters of the Petri net based model of the system were derived. Application example was presented. Conclusion The proposed method provides a theoretical basis for quantitative analysis and evaluation of the structural complexity and can be applied in the general planning and design processes of the information systems. 展开更多
关键词 information system Petri Nets structural complexity element complexity factor connection complexity factor
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Implementation of a 6 GHz band TDD RF transceiver for the next generation mobile communication system 被引量:4
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作者 于志强 周健义 +2 位作者 赵丽 周飞 李江 《Journal of Southeast University(English Edition)》 EI CAS 2012年第3期276-281,共6页
The development of a high performance wideband radio frequency (RF) transceiver used in the next generation mobile communication system is presented. The developed RF transceiver operates in the 6 to 6.3 GHz band an... The development of a high performance wideband radio frequency (RF) transceiver used in the next generation mobile communication system is presented. The developed RF transceiver operates in the 6 to 6.3 GHz band and the channel bandwidth is up to 100 MHz. It operates in the time division duplex (TDD) mode and supports the multiple-input multipleoutput (MIMO) technique for the international mobile telecommunications (IMT)-advanced systems. The classical superheterodyne scheme is employed to achieve optimal performance. Design issues of the essential components such as low noise amplifier, power amplifier and local oscillators are described in detail. Measurement results show that the maximum linear output power of the RF transceiver is above 23 dBm, and the gain and noise figure of the low noise amplifier is around 24 dB and below 1 dB, respectively. Furthermore, the error vector magnitude (EVM) measurement shows that the performance of the developed RF transceiver is well beyond the requirements of the long term evolution (LTE)-advanced system. With up to 8 x 8 MIMO configuration, the RF transceiver supports more than a 1 Gbit/s data rate in field tests. 展开更多
关键词 radio frequency (RF) transceiver orthogonal frequency division multiplexing (OFDM) IMT-advanced system phase noise low noise amplifier power amplifier LTE-advanced system
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Adaptive channel estimation based on pilot signals and transform-domain processing in SISO/MIMO OFDM systems
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作者 宋铁成 尤肖虎 +1 位作者 沈连丰 宋晓晋 《Journal of Southeast University(English Edition)》 EI CAS 2005年第3期249-253,共5页
Based on the transform-domain characteristics of pilot signals,a band suppression filter is used as a transform-domain filter to restrain the interference of noise in channel estimation.The performance effect on chann... Based on the transform-domain characteristics of pilot signals,a band suppression filter is used as a transform-domain filter to restrain the interference of noise in channel estimation.The performance effect on channel estimation for an orthogonal frequency division multiplex (OFDM) system by different energy coefficients in the transform domain and the energy coefficient under the different signal-to-noise ratios (SNR) are also analyzed.A new energy coefficient expression is deduced.It is theoretically proven that dynamically selecting an energy coefficient can significantly improve the performance of channel estimation.Simulation results show that the proposed algorithm can achieve better performance close to the theoretic bounds of perfect channel estimation. The algorithm is adapted to single-input single-output (SISO) OFDM and multi-input multi-output (MIMO) OFDM systems. 展开更多
关键词 adaptive channel estimation orthogonal frequency division multiplex (OFDM) transmit diversity
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Improved Kalman filter channel estimation method for OFDM systems in fast time-varying environment
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作者 宋晓晋 宋铁成 +1 位作者 沈连丰 陆苏 《Journal of Southeast University(English Edition)》 EI CAS 2005年第4期389-392,共4页
Under analyzing several characteristics of frequency-selective fast fading channels, such as large Doppler spread and multi-path interference, a low-dimensional Kalman filter method based on pilot signals is presented... Under analyzing several characteristics of frequency-selective fast fading channels, such as large Doppler spread and multi-path interference, a low-dimensional Kalman filter method based on pilot signals is presented for the channel estimation of orthogonal frequency division multiplexing (OFDM) systems. For simplicity, a one-dimensional autoregressive (AR) process is used to model the time-varying channel, and the least square (LS) algorithm based on pilot signals is adopted to track the time-varying channel fading factor a. The low-dimensional Kalman filter estimator greatly reduces the complexity of the high-dimensional Kalman filter. To utilize the relationship of fading channel in frequency domain, a minimum mean-square-error (MMSE) combiner is used to refine the estimation results. The simulation results in the frequency band of 5.5 GHz show that the proposed method achieves a good symbol error rate (SER) performance close to the theoretical bound of ideal channel estimation. 展开更多
关键词 channel estimation orthogonal frequency division multiplexing (OFDM) least square (LS) minimum mean-square-error (MMSE)
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Research advance in forest restoration on the burned blanks 被引量:3
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作者 孔繁花 李秀珍 +1 位作者 赵善伦 尹海伟 《Journal of Forestry Research》 SCIE CAS CSCD 2003年第2期180-184,共5页
How to restore the destroyed forest after forest fire is a key question that man must face. This paper reviewed the research situation and history on the forest restoration burned blanks and summed up the research met... How to restore the destroyed forest after forest fire is a key question that man must face. This paper reviewed the research situation and history on the forest restoration burned blanks and summed up the research methods used into four scales: seed-bank scale, community scale, ecosystem scale and landscape scale. The new technologies such as GIS & Remote Sensing used to vegetation restoration were also summarized. The strategies and developing trend of vegetation restoration research on burned blanks were discussed. 展开更多
关键词 Burned blanks Forest restoration Research advance Questions and countermeasures
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Study on Design of Interplex Method for GNSS Signal 被引量:2
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作者 FENG Youjun WANG Zhong CHEN Dandan 《China Communications》 SCIE CSCD 2014年第A02期23-29,共7页
In order to satisfy sending multi-channel navigation signals in one frequency for modern GNSS(Global Navigation Satellite System), the principle of Interplex multiplexing were introduced. And the three-way multiplex... In order to satisfy sending multi-channel navigation signals in one frequency for modern GNSS(Global Navigation Satellite System), the principle of Interplex multiplexing were introduced. And the three-way multiplexing structure and the four-way multiplexing method were also optimized. The Galileo E1 signal, as the example of Interplex reuse, was analyzed in detail. The power configuration of the multiplexing efficiency and the minimum of the multiplexing efficiency were obtained. 展开更多
关键词 satellite navigation constant envelope Interplex multiplexing efficiency
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A modified time domain interpolation method for LS channel estimation in OFDM systems 被引量:4
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作者 Zhang Yenan Xu Feiyun Jia Minping 《Journal of Southeast University(English Edition)》 EI CAS 2022年第3期219-226,共8页
A modified time domain interpolation method is proposed for orthogonal frequency division multiplexing(OFDM)systems to address the problem that time domain interpolation in the least square(LS)channel estimation metho... A modified time domain interpolation method is proposed for orthogonal frequency division multiplexing(OFDM)systems to address the problem that time domain interpolation in the least square(LS)channel estimation method based on comb-type pilots cannot choose the pilot spacing flexibly.Firstly,the estimated channel frequency response(CFR)at pilot positions in the frequency domain is obtained by LS channel estimation based on comb-type pilots,and the estimated channel impulse response(CIR)in the time domain is obtained by linear interpolation and inverse fast Fourier transform(IFFT).Secondly,the error of the estimated CIR obtained by linear interpolation is analyzed by theoretical deduction,and a method for correcting it is proposed.Finally,an estimated CFR at all subcarrier positions in the frequency domain is obtained by performing zero padding in the time domain and fast Fourier transform(FFT)on the modified CIR.The simulation results suggest that the proposed method gives similar performance to time domain interpolation,yet it does not need to meet the condition of time domain interpolation that the number of subcarriers must be an integral multiple of pilot spacing to use it.The proposed method allows for flexible pilot spacing,reducing the number of pilots and the consumption of subcarriers used for channel estimation. 展开更多
关键词 orthogonal frequency division multiplexing(OFDM) channel estimation linear interpolation time domain interpolation
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Apoptosis signaling pathways and lymphocyte homeostasis 被引量:14
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作者 Guangwu Xu Yufang Shi 《Cell Research》 SCIE CAS CSCD 2007年第9期759-771,共13页
It has been almost three decades since the term "apoptosis" was first coined to describe a unique form of cell death that involves orderly, gene-dependent cell disintegration. It is now well accepted that apoptosis ... It has been almost three decades since the term "apoptosis" was first coined to describe a unique form of cell death that involves orderly, gene-dependent cell disintegration. It is now well accepted that apoptosis is an essential life process for metazoan animals and is critical for the formation and function of tissues and organs. In the adult mammalian body, apoptosis is especially important for proper functioning of the immune system. In recent years, along with the rapid advancement of molecular and cellular biology, great progress has been made in understanding the mechanisms leading to apoptosis. It is generally accepted that there are two major pathways ofapoptotic cell death induction: extrin- sic signaling through death receptors that leads to the formation of the death-inducing signaling complex (DISC), and intrinsic signaling mainly through mitochondria which leads to the formation of the apoptosome. Formation of the DISC or apoptosome, respectively, activates initiator and common effector caspases that execute the apoptosis process. In the immune system, both pathways operate; however, it is not known whether they are sufficient to maintain lymphocyte homeostasis. Recently, new apoptotic mechanisms including caspase-independent pathways and granzyme-initiated pathways have been shown to exist in lymphocytes. This review will summarize our understanding of the mechanisms that control the homeostasis of various lymphocyte populations. 展开更多
关键词 APOPTOSIS lymphocyte homeostasis death-inducing signaling complex APOPTOSOME signaling
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Does Amplify-and-Forward Cooperative Relay Improve OFDM/OFDMA Ergodic Capacity? 被引量:1
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作者 HUANGFU Wei ZHANG Zhongshan +1 位作者 ZHANG Dandan LONG Keping 《China Communications》 SCIE CSCD 2014年第2期83-89,共7页
The ergodic information rate for Orthogonal Frequency-Division Multiplexing / Orthogonal Frequency-Division Multiple Access with amplify-and-forward (AF) relaying systems in the presence of frequency offsets is eval... The ergodic information rate for Orthogonal Frequency-Division Multiplexing / Orthogonal Frequency-Division Multiple Access with amplify-and-forward (AF) relaying systems in the presence of frequency offsets is evaluated. Unlike previous work, per-subcarrier adaptive power allocation is performed on each relay to optimize the system ergodic information rate. For a given frequency offset and total number of relays M, the AF ergodic information rate is proven to be a monotonically increasing function of α (the ratio of the power allocated to the source node and the total transmit power), implying that the maximum ergodic information rate can be obtained at α=1 (i.e., there is no cooperative relay). Furthermore, the proof of "cooperative relays cannot improve the AF ergodic information rate in a quasi-static wireless channel" is also provided in this letter. 展开更多
关键词 cooperation amplify-ano-forward (AF) ergodic information rate frequency offset Orthogonal Frequency-Division Multiplexing (OFDM) OrthogonalFrequency-Division Multiple Access(OFDMA)
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INFORMATION RETRIEVAL FOR SHORT DOCUMENTS 被引量:2
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作者 Qi Haoliang Li Mu +1 位作者 Gao Jianfeng Li Sheng 《Journal of Electronics(China)》 2006年第6期933-936,共4页
The major problem of the most current approaches of information models lies in that individual words provide unreliable evidence about the content of the texts. When the document is short, e.g. only the abstract is av... The major problem of the most current approaches of information models lies in that individual words provide unreliable evidence about the content of the texts. When the document is short, e.g. only the abstract is available, the word-use variability problem will have substantial impact on the Information Retrieval (IR) performance. To solve the problem, a new technology to short document retrieval named Reference Document Model (RDM) is put forward in this letter. RDM gets the statistical semantic of the query/document by pseudo feedback both for the query and document from reference documents. The contributions of this model are three-fold: (1) Pseudo feedback both for the query and the document; (2) Building the query model and the document model from reference documents; (3) Flexible indexing units, which can be ally linguistic elements such as documents, paragraphs, sentences, n-grams, term or character. For short document retrieval, RDM achieves significant improvements over the classical probabilistic models on the task of ad hoc retrieval on Text REtrieval Conference (TREC) test sets. Results also show that the shorter the document, the better the RDM performance. 展开更多
关键词 Information retrieval Short documents Reference Document Model (RDM)
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CARRIER FREQUENCY OFFSET ESTIMATION FOR INTERLEAVED OFDMA UPLINK BASED ON SUBSPACE PROCESSING 被引量:1
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作者 Fan Da Cao Zhigang 《Journal of Electronics(China)》 2007年第4期433-438,共6页
This paper investigates Carrier Frequency Offset (CFO) estimation in the uplink of the Orthogonal Frequency-Division Multiple Access (OFDMA) systems with the interleaved subcarrier assignment. CFOs between the transmi... This paper investigates Carrier Frequency Offset (CFO) estimation in the uplink of the Orthogonal Frequency-Division Multiple Access (OFDMA) systems with the interleaved subcarrier assignment. CFOs between the transmitters and the uplink receiver will destroy orthogonality among different subcarriers, hence resulting in inter-carrier interference and multiuser interference. A two-stage frequency offset estimation algorithm based on subspace processing is proposed. The main advantage of the proposed method is that it can obtain the CFOs of all users simultaneously using only one OFDMA block. Compared with the previously known methods, it not only has a relatively low implementation complexity but is also suitable for random subchannel assignment. 展开更多
关键词 Orthogonal Frequency-Division Multiple Access (OFDMA) Carrier Frequency Offset (CFO) Subspace processing Normalized Root Mean Square Error (NRMSE)
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Polynomial rooting based frequency offset estimation for MIMO OFDM systems
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作者 蒋雁翔 尤肖虎 高西奇 《Journal of Southeast University(English Edition)》 EI CAS 2008年第4期397-401,共5页
Based on the frequency domain training sequences, the polynomial-based carrier frequency offset (CFO) estimation in multiple-input multiple-output ( MIMO ) orthogonal frequency division multiplexing ( OFDM ) sys... Based on the frequency domain training sequences, the polynomial-based carrier frequency offset (CFO) estimation in multiple-input multiple-output ( MIMO ) orthogonal frequency division multiplexing ( OFDM ) systems is extensively investigated. By designing the training sequences to meet certain conditions and exploiting the Hermitian and real symmetric properties of the corresponding matrices, it is found that the roots of the polynomials corresponding to the cost functions are pairwise and that both meger CFO and fractional CFO can be estimated by the direct polynomial rooting approach. By analyzing the polynomials corresponding to the cost functions and their derivatives, it is shown that they have a common polynomial factor and the former can be expressed in a quadratic form of the common polynomial factor. Analytical results further reveal that the derivative polynomial rooting approach is equivalent to the direct one in estimation at the same signal-to-noise ratio(SNR) value and that the latter is superior to the former in complexity. Simulation results agree well with analytical results. 展开更多
关键词 MIMO OFDM frequency selective fading channels frequency offset estimation polynomial rooting
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Evolution of COP9 Signalosome and Proteasome Lid Complex
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作者 苏红文 瞿礼嘉 +1 位作者 陈章良 顾红雅 《Acta Botanica Sinica》 CSCD 2003年第5期523-529,共7页
The COP9 signalosome and the regulatory lid of the 26S proteasome are both eight-subunit protein complexes which are present in most eukaryotes. There is a one-to-one relationship between the corresponding subunits of... The COP9 signalosome and the regulatory lid of the 26S proteasome are both eight-subunit protein complexes which are present in most eukaryotes. There is a one-to-one relationship between the corresponding subunits of the two protein complexes in terms of their size and amino acid sequences. Eight groups of subunits from the COP9 signalosome and the proteasome lid complex of different organisms are collected from all the databases at the NCBI website. The corresponding subunits of COP9 signalosome and proteasome lid complex share at least 12% amino acid identity and some conserved regions, and the conserved sites spread evenly over the entire length of the subunits, suggesting that the two complexes have a common evolutionary ancestor. Phylogenetic analyses based on the amino acid sequences of the corresponding subunits of two protein complexes indicate that every tree consists of two clades. The subunits from one of the two protein complexes of different organisms are grouped into one of the two clades respectively. The sequences of single-cell organisms are always the basal groups to that of multi-cell animal and plant species. These results imply that the duplication/divergence events of COP9 signalosome and regulatory lid of the proteasome genes have occurred before the divergence of single-cell and multi-cell eukaryotes, and the genes of the two complexes are independently evolved. The analyses of dN/dS correlation show significant Pearson's correlations between 21 and 15 pairs of subunit-encoding sequences within the COP9 signalosome and the proteasome lid complex respectively, suggesting that those subunits pairs might have related functions and interacted with one another, and resulted in co-evolution. 展开更多
关键词 COP9 signalosome proteasome lid complex molecular evolution Pearson's correlation
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A simple channel estimator for space-time coded OFDM systems in rapid fading channels 被引量:2
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作者 单淑伟 罗汉文 宋文涛 《Journal of Zhejiang University Science》 CSCD 2004年第1期45-49,共5页
A simple channel estimator for space-time coded orthogonal frequency division multiplexing (OFDM) systems in rapid fading channels is proposed. The channels at the training bauds are estimated using the EM (expectatio... A simple channel estimator for space-time coded orthogonal frequency division multiplexing (OFDM) systems in rapid fading channels is proposed. The channels at the training bauds are estimated using the EM (expectation-maximization) algorithm, while the channels at the data bauds are estimated based on the method for modelling the time-varying channel as the linear combination of several time-invariant " Doppler channels". Computer simulations showed that this estimator outperforms the decision-directed tracking in rapid fading channels and that the performance of this method can be improved by iteration. 展开更多
关键词 Space time coding OFDM Channel estimation EM algorithm Doppler channel
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Power Equilibrium in Dense Wavelength Division Multiplexing Optical Communication Systems 被引量:1
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作者 LIU Mu lin, WU Zheng mao, XIA Guang qiong (Dept.of Phys.,Southwest Normal University,Chongqing 400715,CHN) 《Semiconductor Photonics and Technology》 CAS 2003年第3期148-152,共5页
The disequilibrium of the optical power among different channels is analyzed for the dense wavelength division multiplexing optical communication systems. And the new technologies and devices for optical amplifying, f... The disequilibrium of the optical power among different channels is analyzed for the dense wavelength division multiplexing optical communication systems. And the new technologies and devices for optical amplifying, filtering, adding /dropping,etc,have been reviewed, which can be used to equalize dynamically the optical power in optical networks. 展开更多
关键词 Power equilibrium DWDM Optical communication
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A Novel and Fast Model of Erbium-doped Fiber Amplifiers 被引量:4
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作者 ZHUZhi-peng JIANGFeng-xian 《Semiconductor Photonics and Technology》 CAS 2000年第1期1-7,共7页
A novel and fast model of erbium-doped fiber amplifiers (EDFAs) is presented. By calculating a typical EDFA, numerical results are compared with the results obtained by spectral-solved method. The results of compariso... A novel and fast model of erbium-doped fiber amplifiers (EDFAs) is presented. By calculating a typical EDFA, numerical results are compared with the results obtained by spectral-solved method. The results of comparison show that such a model can improve the computational speed and preserve the precision. Some characteristics of the EDFA are then analyzed using this model. The results are consistent with those of the experiments. 展开更多
关键词 Erbium-doped fiber amplifier Rate equation Optical communications
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