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Storage stability of SBS modified bitumen based on mixed-level orthogonal array design
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作者 杨群 何文华 《Journal of Southeast University(English Edition)》 EI CAS 2012年第3期337-343,共7页
The styrene-butadiene-styrene(SBS) modified bitumens with different contents of SBS modifiers are stored in different conditions to study the storage stability of SBS modified bitumen.Mixed-level orthogonal array de... The styrene-butadiene-styrene(SBS) modified bitumens with different contents of SBS modifiers are stored in different conditions to study the storage stability of SBS modified bitumen.Mixed-level orthogonal array design(OAD) is used and factors such as SBS modifier content,storage time,storage temperature and container size are chosen in a mixed-level OAD with an OA16(31×44) matrix.Parameters like the separation softening point difference(the separation difference of the ring and ball softening point of the top and bottom samples) and the average softening point(the arithmetic mean of the softening points of the top and bottom samples) are proposed to evaluate the separation and the ageing of modified bitumen during storage in this experiment,respectively.The results reveal that the separation and the ageing during storage exhibit a complicated variation for storage temperature and time.The separation softening point difference decreases with the storage temperature rising from 20 to 120 ℃ and increases with the temperature exceeding 120 ℃,and the average softening point drops with the storage time being prolonged.Different storage conditions have various effects on the storage stability of SBS modified bitumen. 展开更多
关键词 storage stability mixed-level orthogonal array design separation softening point difference average softening point
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An approach of constructing mixed-level orthogonal arrays of strength≥3 被引量:4
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作者 JIANG Ling YIN JianXing 《Science China Mathematics》 SCIE 2013年第6期1109-1115,共7页
Orthogonal arrays (OAs), mixed level or fixed level (asymmetric or symmetric), are useful in the design of various experiments. They are also a fundamental tool in the construction of various combinatorial configurati... Orthogonal arrays (OAs), mixed level or fixed level (asymmetric or symmetric), are useful in the design of various experiments. They are also a fundamental tool in the construction of various combinatorial configurations. In this paper, we establish a general "expansive replacement method" for constructing mixedlevel OAs of an arbitrary strength. As a consequence, a positive answer to the question about orthogonal arrays posed by Hedayat, Sloane and Stufken is given. Some series of mixed level OAs of strength ≥3 are produced. 展开更多
关键词 orthogonal array mixed-level STRENGTH CONSTRUCTIONS
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A REPLACEMENT SCHEME ON THE CONSTRUCTION OF ORTHOGONAL ARRAYS 被引量:1
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作者 PangShanqi ZhangYingshan LiuSanyang 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2002年第1期93-98,共6页
A method of constructing orthogonal arrays is presented by Zhang, Lu and Pang in 1999.In this paper,the method is developed by introducing a replacement scheme on the construction of orthogonal arrays ,and some new mi... A method of constructing orthogonal arrays is presented by Zhang, Lu and Pang in 1999.In this paper,the method is developed by introducing a replacement scheme on the construction of orthogonal arrays ,and some new mixed-level orthogonal arrays of run size 36 are constructed. 展开更多
关键词 mixed-level orthogonal array projection matrix Hadamard product.
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A Family of Asymmetrical Orthogonal Arrays with Run Sizes 4p^2 被引量:1
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作者 廖靖宇 张建军 张应山 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2007年第3期426-435,共10页
Nowadays orthogonal arrays play important roles in statistics, computer science, coding theory and cryptography. The usual difference matrices are essential for the construction of many mixed orthogonal arrays. But th... Nowadays orthogonal arrays play important roles in statistics, computer science, coding theory and cryptography. The usual difference matrices are essential for the construction of many mixed orthogonal arrays. But there are also many orthogonal arrays, especially mixed-level or asymmetrical which can not be obtained by the usual difference matrices. In order to construct these asymmetrical orthogonal arrays, a class of special matrices, so-called generalized difference matrices, were discovered by Zhang(1989, 1990, 1993) by the orthogonal decompositions of projective matrices. In this article, an interesting equivalent relationship between the orthogonal arrays and the generalized difference matrices is presented. As an application, a family of orthogonal arrays of run sizes 4p2, such as L36(6^13^42^10), are constructed. 展开更多
关键词 mixed-level orthogonal arrays generalized difference matrices projective matrices permutable matrices
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Optimization of the Assembly Efficiency for Lidamycin Chromophore Bound to its Apoprotein:A Case Study using Orthogonal Array 被引量:9
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作者 ZHONG Gen Shen GUO Xiao Fang +1 位作者 ZHANG Sheng Hua ZHEN Yong Su 《Biomedical and Environmental Sciences》 SCIE CAS CSCD 2011年第6期602-607,共6页
Objective Lidamycin (LDM) can be dissociated to an apoprotein (LDP) and an active enediyne chromophore (AE). The detached AE can reassemble with its LDP-containing fusion protein to endow the latter with potent ... Objective Lidamycin (LDM) can be dissociated to an apoprotein (LDP) and an active enediyne chromophore (AE). The detached AE can reassemble with its LDP-containing fusion protein to endow the latter with potent antitumor activity. However, the reassembly of AE with LDP is affected by several factors. Our aim was to optimize the assembly efficiency of the AE with a LDP-containing fusion protein and investigate the influence of several factors on the assembly efficacy. Methods A method based on RP-HPLC was developed to analyze the assembly rate, and an orthogonal experimental design L9 (3^4) was used to investigate the effects of temperature, assembly time, pH and molecular ratio of LDP-containing fusion protein to AE on the assembly rate. Furthermore, the determined optimum conditions for the assembly rate of the LDP-containing fusion protein with AE were applied and evaluated. Results A calibration curve based on the LDM micromolar concentration against the peak-area of AE by HPLC was obtained. The order in which individual factors in the orthogonal experiment affected the assembly rate were temperature〉time〉pH〉molar ratio of AE to protein and all were statistically significant (P〈0.01). The optimal assembly conditions were temperature at 10 ℃, time of 12 h, pH 7.0, and the molar ratio of AE: protein of 5:1. The assembly rate of AE with a LDP-containing fusion protein was improved by 23% after condition optimization. Conclusion The assembly rate of chromophore of lidamycin with its LDP-containing fusion protein was improved after condition optimization by orthogonal design, and the optimal conditions described herein should prove useful for the development of this type of LDP-containing fusion protein. 展开更多
关键词 LIDAMYCIN CHROMOPHORE HPLC orthogonal array Assembly rate Lidamycin CHROMOPHORE HPLC orthogonal array Assembly rate
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Polyphase orthogonal sequences design for opportunistic array radar via HGA 被引量:9
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作者 Shufeng Gong Weijun Long +2 位作者 Hao Huang De Ben Minghai Pan 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2013年第1期60-67,共8页
Opportunistic array radar (OAR) is a new generation radar system based on the stealth of the platform, which can improve the modern radar performance effectively. Designing the orthogonal code sets with low autocorr... Opportunistic array radar (OAR) is a new generation radar system based on the stealth of the platform, which can improve the modern radar performance effectively. Designing the orthogonal code sets with low autocorrelation and cross-correlation is a key issue for OAR. This paper proposes a novel hybrid genetic algorithm (HGA) and designs the polyphase orthogonal code sets with low autocorrelation and cross-correlation properties, which can be used in the OAR system. The novel algorithm combines with simulated annealing (SA) and genetic algorithm (GA), adds in keeping best individuals and competition in small scope, and introduces grey correlation evaluation to evaluate fitness function. These avoid the premature convergence problem existed in GA and enhance the global searching capability. At last, the genetic results are optimized to obtain the best solution by using greedy algorithm. The simulation results show that the proposed algorithm is effective for the design of orthogonal phase signals used in OAR systems. 展开更多
关键词 hybrid genetic algorithm (HGA) grey correlation evaluation opportunistic array radar (OAR) orthogonal signal.
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Optimization by orthogonal array design of ion-pair HPLC separation of the enzymatic hydrolysis products of yeast RNA 被引量:3
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作者 Jie Hua Ke Long Huang 《Chinese Chemical Letters》 SCIE CAS CSCD 2010年第12期1453-1456,共4页
The separation of enzymatic hydrolysis products of yeast RNA by ion-pair HPLC was studied.A modified chromatographic response function(MCRF) was proposed to appraise the effectiveness of chromatographic separation.T... The separation of enzymatic hydrolysis products of yeast RNA by ion-pair HPLC was studied.A modified chromatographic response function(MCRF) was proposed to appraise the effectiveness of chromatographic separation.This function takes the number of peaks,resolution and the retention time of the last peak into consideration.It shows advantages for optimization of HPLC separation of complex mixtures.An orthogonal array design was used to separate the hydrolysate of yeast RNA and the optimal chromatographic conditions were obtained. 展开更多
关键词 Chromatographic response function orthogonal array design 5'-Phosphodiesterase Barley roots NUCLEOTIDES
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Optimization for Microbial Degumming of Ramie with Bacillus subtilis DZ_(5) in Submerged Fermentation by Orthogonal Array Design and Response Surface Methodology 被引量:2
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作者 刘芬 陈杨栋 +2 位作者 朱鹏 曹张军 张兴群 《Journal of Donghua University(English Edition)》 CAS 2023年第5期475-481,共7页
As a kind of natural fiber,ramie fiber has distinctive advantages in textile application,but the application is limited due to the traditional degumming mode.Compared with the traditional degumming process,the microbi... As a kind of natural fiber,ramie fiber has distinctive advantages in textile application,but the application is limited due to the traditional degumming mode.Compared with the traditional degumming process,the microbial degumming process has many advantages.To obtain the optimal conditions for degumming ramie with Bacillus subtilis DZ_(5)(BS DZ_(5)),a combined statistical approach of orthogonal array design(OAD)and response surface methodology(RSM)was used.The influences of initial pH of the bacteria medium,culture temperature,shaking speed,degumming time and inoculum size on submerged fermentation degumming were evaluated by using fractional factorial design.The main factors in the analysis were culture temperature,shaking speed and initial pH.The residual gum mass fraction was used as the optimization index,and the optimal conditions for degumming were determined by central composite design and RSM.Thus with only a limited number of experiments,an optimal ramie microbial degumming condition was found as the culture temperature of 40℃,the initial pH in the culture medium of 8.5,the shaking speed of 205 r/min,the degumming time of 96 h and the inoculum size of 5%.After microbial degumming of ramie under the optimal conditions,there was only 10.6%residual gum by mass in the fiber.In addition,the effective degumming of BS DZ_(5)was also confirmed by a scanning electron microscope(SEM). 展开更多
关键词 microbial degumming OPTIMIZATION RAMIE orthogonal array design(OAD) response surface methodology(RSM)
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On a Grouping Method for Constructing Mixed Orthogonal Arrays 被引量:1
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作者 Chung-Yi Suen 《Open Journal of Statistics》 2012年第2期188-197,共10页
Mixed orthogonal arrays of strength two and size smn are constructed by grouping points in the finite projective geometry PG(mn-1, s). PG(mn-1, s) can be partitioned into [(smn-1)/(sn-1)](n-1)-flats such that each (n-... Mixed orthogonal arrays of strength two and size smn are constructed by grouping points in the finite projective geometry PG(mn-1, s). PG(mn-1, s) can be partitioned into [(smn-1)/(sn-1)](n-1)-flats such that each (n-1)-flat is associated with a point in PG(m-1, sn). An orthogonal array Lsmn((sn)(smn-)(sn-1) can be constructed by using (smn-1)/( sn-1) points in PG(m-1, sn). A set of (st-1)/(s-1) points in PG(m-1, sn) is called a (t-1)-flat over GF(s) if it is isomorphic to PG(t-1, s). If there exists a (t-1)-flat over GF(s) in PG(m-1, sn), then we can replace the corresponding [(st-1)/(s-1)] sn-level columns in Lsmn((sn)(smn-)(sn-1) by (smn-1)/( sn-1) st -level columns and obtain a mixed orthogonal array. Many new mixed orthogonal arrays can be obtained by this procedure. In this paper, we study methods for finding disjoint (t-1)-flats over GF(s) in PG(m-1, sn) in order to construct more mixed orthogonal arrays of strength two. In particular, if m and n are relatively prime then we can construct an Lsmn((sm)smn-1/sm-1-i(sn-1)/ (s-1)( sn) i(sm-1)/ s-1) for any 0i(smn-1)(s-1)/( sm-1)( sn-1) New orthogonal arrays of sizes 256, 512, and 1024 are obtained by using PG(7,2), PG(8,2), and PG(9,2) respectively. 展开更多
关键词 FINITE field FINITE PROJECTIVE geometry (t-1)-flat over GF(s) in PG(m-1 sn ) Geometric orthogonal array Matrix representation Minimal polynomial orthogonal main-effect plan PRIMITIVE element Tight.
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One Step Bioleaching of Sulphide Ore with Low Concentration of Arsenic by Aspergillus niger and Taguchi Orthogonal Array Optimization
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作者 Sadia Ilyas 池汝安 +1 位作者 Jae Chun Lee Haq Nawaz Bhatti 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2012年第5期923-929,共7页
A study was carried out to examine the possibility for Aspergillus niger strain KBS4 to bioleach metals from sulphide ore with low concentration of arsenic and to optimize the parameters that affect this process by or... A study was carried out to examine the possibility for Aspergillus niger strain KBS4 to bioleach metals from sulphide ore with low concentration of arsenic and to optimize the parameters that affect this process by orthogonal array optimization. Fungal sample was collected, purified and sequenced. The bioleaching process was optimized with L25 Taguchi orthogonal experimental array design. Five factors were investigated and 25 batch bioleaching tests were run at five levels for each factor. The parameters were initial pH, particle size, pulp density, initial inoculums and residence time for bioleaching. The experimental results showed that under optimized leaching conditions: pH 5.5, particle size 180 μm, initial inoculums size 3×10 7 spores per ml, pulp density 15% and residence time of 20 days, the bioleach ability of metals were 63% Fe, 68% Zn, 60% As, 79% Cu and 54% Al. The biosorption of metal ions by fungal biomass might occur during the bioleaching process but it did not hinder the removal of metal ions by bioleaching. 展开更多
关键词 Aspergillus niger BIOLEACHING sulphide ore orthogonal array
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Direction finding for two-dimensional incoherently distributed sources with Hadamard shift invariance in non-uniform orthogonal arrays
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作者 Zhengliang DAI Weijia CUI +3 位作者 Daming WANG Bin BA Chao WANG Yankui ZHANG 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2018年第12期2260-2269,共10页
This paper proposes a novel algorithm for Two-Dimensional(2D) central Directionof-Arrival(DOA) estimation of incoherently distributed sources. In particular, an orthogonal array structure consisting of two Non-uniform... This paper proposes a novel algorithm for Two-Dimensional(2D) central Directionof-Arrival(DOA) estimation of incoherently distributed sources. In particular, an orthogonal array structure consisting of two Non-uniform Linear Arrays(NLAs) is considered. Based on first-order Taylor series approximation, the Generalized Array Manifold(GAM) model can first be established to separate the central DOAs from the original array manifold. Then, the Hadamard rotational invariance relationships inside the GAMs of two NLAs are identified. With the aid of such relationships, the central elevation and azimuth DOAs can be estimated through a search-free polynomial rooting method. Additionally, a simple parameter pairing of the estimated 2D angular parameters is also accomplished via the Hadamard rotational invariance relationship inside the GAM of the whole array. A secondary but important result is a derivation of closed-form expressions of the Cramer-Rao lower bound. The simulation results show that the proposed algorithm can achieve a remarkably higher precision at less complexity increment compared with the existing low-complexity methods, which benefits from the larger array aperture of the NLAs. Moreover, it requires no priori information about the angular distributed function. 展开更多
关键词 array signal processing Cramer-Rao lower bound Direction-of-Arrival(DOA) estimation Hadamard rotational invariance Incoherently distributed sources Non-uniform orthogonal array
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Implementation of Synchronization Technology in Orthogonal Frequency Division Multiplex System Based on Field Programming Gate Array
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作者 YI Qing-ming XIE Sheng-li 《Semiconductor Photonics and Technology》 CAS 2008年第1期32-36,共5页
In this paper,analyzed is the symbol synchronization algorithm in orthogonal frequency division multiplex(OFDM)system,and accomplished are the hardware circuit design of coarse and elaborate synchronization algorithms... In this paper,analyzed is the symbol synchronization algorithm in orthogonal frequency division multiplex(OFDM)system,and accomplished are the hardware circuit design of coarse and elaborate synchronization algorithms.Based on the analysis of coarse and elaborate synchronization algorithms,multiplexed are,the module accumulator,division and output judgement,which can evidently save the hardware resource cost.The analysis of circuit sequence and wave form simulation of the design scheme shows that the proposed method efficiently reduce system resources and power consumption. 展开更多
关键词 orthogonal frequency division multiplex timing synchronization field programmable gate array
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Development of Efficient Fermentation Process at Bioreactor Level by Taguchi's Orthogonal Array Methodology for Enhanced Dextransucrase Production from <i>Weissella confusa</i>Cab3
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作者 Shraddha Shukla Arun Goyal 《Advances in Microbiology》 2012年第3期277-283,共7页
The influence of medium ingredients on extracellular dextransucrase production by a new bacterial strain Weissella confusa Cab3 (Genbank Accession Number JX649223) was evaluated using fractional factorial design of Ta... The influence of medium ingredients on extracellular dextransucrase production by a new bacterial strain Weissella confusa Cab3 (Genbank Accession Number JX649223) was evaluated using fractional factorial design of Taguchi's orthogonal array. Four metabolism influencing factors viz. sucrose, yeast extract, K2HPO4 and Tween80 were selected to optimize dextransucrase production by W. confusa Cab3 using fractional factorial design of Taguchi methodology. Based on the influence of interaction components of fermentation, least significant factors of individual level have higher interaction severity index and vice versa for enzyme production from Weissella confusa Cab3. Sucrose and yeast extract were found to be the most significant factors which positively influenced the dextransucrase production. The optimized medium composition consisted of sucrose—5%;yeast extract—2%;K2HPO4—1.0%;Tween80—0.5%, based on Taguchi orthogonal array method. The optimized composition gave an experimental value of dextransucrase activity of 17.9 U/ml at shake flask level which corresponded well with the predicted value of 17.54 U/ml by the model. The optimized medium by Taguchi method gave significant (3 fold) enhancement of dextransucrase activity as compared to unoptimised enzyme activity of 6.0 U/ml. The dextransucrase production was scaled up in lab scale bioreactor resulting in further enhancement of enzyme activity (22.0 U/ml). 展开更多
关键词 LACTIC Acid Bacteria WEISSELLA confusa DEXTRANSUCRASE Taguchi's orthogonal array Method BIOREACTOR
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Application of Taguchi’s Orthogonal Array in Multi Response Optimization of NO<sub>x</sub>Emission of Crude Rice Bran Oil Methyl Ester Blend as a CI Engine Fuel
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作者 Subramani Saravanan Govindan Nagarajan Santhanam Sampath 《Open Journal of Optimization》 2012年第2期25-33,共9页
In this work an attempt was made to minimize the NOx emission of a crude rice bran oil methyl ester (CRBME) blend with less sacrifice on smoke density and brake thermal efficiency. Three factors namely fuel injection ... In this work an attempt was made to minimize the NOx emission of a crude rice bran oil methyl ester (CRBME) blend with less sacrifice on smoke density and brake thermal efficiency. Three factors namely fuel injection timing, percentage EGR and fuel injection pressure were chosen as the influencing factors for the set objective. Experiments were designed by employing design of experiments method and Taguchi’s L9 orthogonal array was used to test the engine. MRSN ratio was calculated for the response variables and the optimum combination level of factors was obtained simultaneously using Taguchi’s parametric design. ANOVA was employed to analyze the variance of MRSN and the most influencing factor for the set objective was taken from the ANOVA table. Obtained combination was confirmed experimentally and significant improvement was observed in the response variables. 展开更多
关键词 Diesel Engine EMISSION CRUDE Rice BRAN Oil Biodiesel Taguchi’s orthogonal array MRSN DOE
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Orthogonal array design for the optimization of stripping Sr(Ⅱ) from ionic liquids using supercritical CO2
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作者 Tao Yang Jing Fu +1 位作者 Qingde Chen Xinghai Shen 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2017年第1期26-31,共6页
The strontium ions extracted from the aqueous phase into 1-ethyl-3-methylimidazolium bis(trifluoromethylsulfonyl)imide(C_2mimNTf2) with dicyclohexyl-18-crown-6(DCH18C6) was stripped effectively by supercritical CO_2(s... The strontium ions extracted from the aqueous phase into 1-ethyl-3-methylimidazolium bis(trifluoromethylsulfonyl)imide(C_2mimNTf2) with dicyclohexyl-18-crown-6(DCH18C6) was stripped effectively by supercritical CO_2(sc-CO_2).Hexafluoroacetylacetone(HFAA)-acetonitrile was found to be an excellent modifier of sc-CO_2 to enhance the stripping efficiency.In the orthogonal array design(OAD),OA_(25)(5~5)matrix was employed to optimize the stripping of Sr(Ⅱ) from the DCH 18C6-C_2mimNTf_2 system.Effects of five experimental factors:temperature,pressure,concentration of HFAA,static and dynamic extraction times as well as each factor at five-levels on the stripping of Sr(Ⅱ) were optimized.The effects of these parameters were treated by the analysis of variance(ANOVA).The results showed that Sr(II) could be nearly 100%extracted from the IL phase at 308 K,30 MPa,40 min of dynamic extraction and 60 mmol·L^(-1) HFAA in acetonitrile,respectively.Finally,the stripping mechanism was studied by ESI-MS. 展开更多
关键词 Supercritical CO2 stripping Ionic liquid Strontium orthogonal array design
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Test case generation based on orthogonal table for software black-box testing
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作者 刘久富 杨忠 +1 位作者 杨振兴 孙琳 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2008年第3期365-368,共4页
Software testing is an important means to assure the software quality. This paper presents a practicable method to generate test cases of software testing, which is operational and high efficient. We discuss the ident... Software testing is an important means to assure the software quality. This paper presents a practicable method to generate test cases of software testing, which is operational and high efficient. We discuss the identification of software specification categories and choices and make a classification tree. Based on the orthogonal array, it is easy to generate test cases. The number of this method is less than that of all combination of the choices. 展开更多
关键词 software quality software testing test case orthogonal array
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Real-Time Upstream Services Demonstration in Orthogonal Frequency Division Multiplexing- Passive Optical Network System
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作者 LI Ming Andrey Lukyanenko +1 位作者 Sasu Tarkoma Antti Yl-Jski 《China Communications》 SCIE CSCD 2014年第1期26-33,共8页
Abstract: Real-time digital service and mul- timedia service upstream transmission in Dig- ital Signal Processing (DSP)-based Orthogo- nal Frequency Division Multiplexing-Passive Optical Network (OFDM-PON) is exp... Abstract: Real-time digital service and mul- timedia service upstream transmission in Dig- ital Signal Processing (DSP)-based Orthogo- nal Frequency Division Multiplexing-Passive Optical Network (OFDM-PON) is experimen- tally demonstrated with Centralised Light Sou- rce (CLS) configuration in this paper. After transmitted over 25 km Standard Single Mode Fibre (SSMF) with -16.5 dBm optical power at receiver, the Bit Error Rate (BER) is 9.5 ×10^-11. The implementations of digital domain up-conversion and down-conversion based on Field Programmable Gate Array (FPGA) are int- roduced, which can reduce the cost of In-ph- ase and Quadrature (IQ) radio frequency mix- ers utilised at transmitter and receiver. A car- rier synchronization algorithm is implemented for compensating carrier offset. A channel eq- ualization algorithm is adopted for compen- sating the damage of channel. A new structure of Frequency Synchronization Unit (FSU) des- igned in FPGA is also proposed to cope with the frequency shifting at receiver. 展开更多
关键词 orthogonal frequency division multiplexing-passive optical network REAL-TIME field programmable gate array wavelength division multiplexing-OFDM-PON frequency synchronization
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Recursive constructions for t-covering arrays
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作者 查日军 张德平 徐宝文 《Journal of Southeast University(English Edition)》 EI CAS 2011年第3期340-342,共3页
A t-covering array of size N, degree k, order v and strength t is an N x k array with entries from a set of v symbols such that any N x t subarray contains a t-tuple of v symbols at least once as a row. This paper pre... A t-covering array of size N, degree k, order v and strength t is an N x k array with entries from a set of v symbols such that any N x t subarray contains a t-tuple of v symbols at least once as a row. This paper presents a new algebraic recursive method for constructing covering arrays based on difference matrices. The method can extend parameter factors on the existing covering arrays and cover all the combinations of any t parameter factors (t≥2). The method, which recursively generates high strength covering arrays, is practical. Meanwhile, the theoretical derivation and realization of the proposed algebraic recursive algorithm are given. 展开更多
关键词 covering array orthogonal array difference matrix
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Group Strong Orthogonal Arrays with Appealing Two-Dimensional Space-Filling Property
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作者 WANG Chunyan YANG Jinyu 《Journal of Systems Science & Complexity》 2025年第4期1747-1765,共19页
Space-filling designs are popular for computer experiments.Therein space-filling designs with good two-dimensional projection are preferred as two-factor interactions are more likely to be important than three-or high... Space-filling designs are popular for computer experiments.Therein space-filling designs with good two-dimensional projection are preferred as two-factor interactions are more likely to be important than three-or higher-order interactions in practice.Considering two-dimensional projection,the authors propose a new class of designs called group strong orthogonal arrays.A group strong orthogonal array enjoys attractive two-dimensional space-filling property in the sense that it can be partitioned into groups,where any two columns can achieve stratifications on s^(u_(1))×s^(u_(2))grids for any positive integers u_(1),u_(2) with u_(1)+u_(2)=3,and any two columns from different groups can achieve stratifications on s^(v_(1))×s^(v_(2))grids for any positive integers v_(1),v_(2) with v_(1)+v_(2)=4.Few existing designs enjoy such a.ppealing two-dimensional stratification property in the literature.And the level numbers of the obtained designs can be s^(3)or s^(4).In addition to the attractive stratification property,the proposed designs perform very well under orthogonality and uniform projection criteria,and are flexible in run sizes,rendering them highly suitable for computer experiments. 展开更多
关键词 Computer experiment group strong orthogonal array orthogonalITY UNIFORM
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On construction of strong orthogonal arrays and column-orthogonal strong orthogonal arrays of strength two plus
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作者 Bochuan Jiang Yaping Wang Fasheng Sun 《Science China Mathematics》 2025年第5期1219-1242,共24页
Computer experiments require space-filling designs with good low-dimensional projection properties.Strong orthogonal arrays are a type of space-filling design that provides better stratifications in low dimensions tha... Computer experiments require space-filling designs with good low-dimensional projection properties.Strong orthogonal arrays are a type of space-filling design that provides better stratifications in low dimensions than ordinary orthogonal arrays.In this paper,we address the problem of constructing strong orthogonal arrays and column-orthogonal strong orthogonal arrays of strength two plus.Existing methods typically rely on regular designs or specific nonregular designs as base orthogonal arrays,limiting the sizes of the final designs.Instead,we propose two general methods that are easy to implement and applicable to a wide range of base orthogonal arrays.These methods produce space-filling designs that can accommodate a large number of factors,provide significant flexibility in terms of run sizes,and possess appealing low-dimensional projection properties.Therefore,these designs are ideal for computer experiments. 展开更多
关键词 computer experiment difference scheme strong orthogonal array column-orthogonality space-filling property
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