Measuring the complete complex correlation matrix of a partially coherent vector beam via self-referencing holography

2021 ◽  
Vol 119 (11) ◽  
pp. 111101
Author(s):  
Zhuoyi Wang ◽  
Xingyuan Lu ◽  
Wenrui Huang ◽  
A. P. Konijnenberg ◽  
Hao Zhang ◽  
...  
Keyword(s):  
Correlation Matrix ◽  
Vector Beam ◽  
Partially Coherent ◽  
Complex Correlation

scholarly journals Measuring complex correlation matrix of partially coherent vector light via a generalized Hanbury Brown–Twiss experiment

2020 ◽  
Vol 28 (14) ◽  
pp. 20634
Author(s):  
Zhen Dong ◽  
Zhaofeng Huang ◽  
Yahong Chen ◽  
Fei Wang ◽  
Yangjian Cai
Keyword(s):  
Correlation Matrix ◽  
Partially Coherent ◽  
Measuring Complex ◽  
Complex Correlation

Generation and propagation of a partially coherent vector beam with special correlation functions

2014 ◽  
Vol 89 (1) ◽  
Author(s):  
Yahong Chen ◽  
Fei Wang ◽  
Lin Liu ◽  
Chengliang Zhao ◽  
Yangjian Cai ◽  
...  
Keyword(s):  
Correlation Functions ◽  
Vector Beam ◽  
Partially Coherent

scholarly journals A counterexample to the Drury permanent conjecture

2017 ◽  
Vol 5 (1) ◽  
pp. 301-302
Author(s):  
George Hutchinson
Keyword(s):  
Correlation Matrix ◽  
Positive Semidefinite ◽  
Positive Semidefinite Matrices ◽  
Complex Correlation

Abstract We offer a counterexample to a conjecture concerning the permanent of positive semidefinite matrices. The counterexample is a 4 × 4 complex correlation matrix.

scholarly journals Characteristics of Principal Components in Stock Price Correlation

2021 ◽  
Vol 9 ◽  
Author(s):  
Wataru Souma
Keyword(s):  
Stock Returns ◽  
Correlation Matrix ◽  
Stock Price ◽  
Matrix Theory ◽  
Null Model ◽  
Principal Component ◽  
Data Set ◽  
Complex Correlation ◽  
Key Aspects ◽  
Business Sectors

The following methods are used to analyze correlations among stock returns. 1) The meaningful part of the correlation is obtained by applying random matrix theory to the equal-time cross-correlation matrix of assets returns. 2) Null-model randomness is implemented via rotational random shuffling. 3) Principal component analysis and Helmholtz-Hodge decomposition are used to extract leading and lagging relationships among assets from the complex correlation matrix constructed from the Hilbert-transformed data set of asset returns. These methods are applied to price data for 445 assets from the S&P 500 from 2010 to 2019 (2,510 business days). Additional analysis and discussion clarify key aspects of leading and lagging relationships among business sectors in the market. Numerical investigation of these dataset reveals the possibility that leading and lagging relationships among business sectors may depend on gross market conditions.

scholarly journals Scintillation properties of a partially coherent vector beam with vortex phase in turbulent atmosphere

2019 ◽  
Vol 27 (19) ◽  
pp. 26676 ◽  
Author(s):  
Jiayi Yu ◽  
Yan Huang ◽  
Fei Wang ◽  
Xianlong Liu ◽  
Greg Gbur ◽  
...  
Keyword(s):  
Turbulent Atmosphere ◽  
Vortex Phase ◽  
Vector Beam ◽  
Partially Coherent

scholarly journals An Efficient Parallel Architecture for Sub Band Processor in Broad Band MVDR Beamformer for Medical Ultrasound Applications

2021 ◽  
Vol 11 (6) ◽  
pp. 27-39
Author(s):  
Sreejeesh SG ◽  
◽  
Sakthivel R ◽  
Keyword(s):  
Real Time ◽  
Ultrasound Imaging ◽  
Correlation Matrix ◽  
Pulse Repetition Frequency ◽  
Broad Band ◽  
Parallel Architecture ◽  
Adaptive Beamforming ◽  
Medical Ultrasound ◽  
Medical Ultrasound Imaging ◽  
Complex Correlation

Minimum Variance Distortion less Response (MVDR) algorithm is the key adaptive beamforming algorithm in high resolution Medical Ultrasound Imaging systems. MVDR Beamformer is a frequency domain beamformer, and each frequency sub band need to be processed to generate covariance matrix and the same is computationally costly. Though many VLSI architectures have been proposed for MVDR Beamformer, currently no Complex Correlation matrix generation architecture for frequency sub band has been devised which supports real time implementation of broad band MVDR Beamformer for Medical Ultrasound Imaging. In this paper we show real time MVDR sub array, sub band processor realization for an array with number of elements N=32 and sub array length L=8. To satisfy the narrow band condition of the array we employed 1K point FFT, with 12.5 % overlap. The entire design of MVDR Sub band processor is tested on the Field Programmable Gate Array (FPGA) platform. The implementation results show that the through put of the developed architecture is 600K Complex Correlation matrix generation per second which is equivalent to 65.57 fps to image a 20cm depth target at a Pulse Repetition Frequency (PRF) of 4 KHz, 600 Field of View and 10 lateral resolution and makes the MVDR a viable solution for practical systems.

Expressed Emotion in the Client-Professional Dyad

2004 ◽  
Vol 20 (4) ◽  
pp. 237-246 ◽  
Author(s):  
G. Van Humbeeck ◽  
Ch. Van Audenhove ◽  
G. Storms ◽  
M. De Hert ◽  
G. Pieters ◽  
...  
Keyword(s):  
Therapeutic Relationship ◽  
Correlation Matrix ◽  
Concurrent Validity ◽  
Positive Relationship ◽  
Expressed Emotion ◽  
Family Interview ◽  
Insufficient Time ◽  
Perceived Criticism

Summary: Background: This article reports on a study of the concurrent validity between the standard expressed emotion instrument, the Camberwell Family Interview (CFI), and two alternative EE measures, the Level of Expressed Emotion (LEE) and the Perceived Criticism Scale (PCS). Methods: The research sample consisted of 56 schizophrenic clients, who were residing in sheltered residences, and 56 professionals. Results: Based on the results of the correlation matrix between all the subscales of the instruments, a significantly positive relationship was found between the criticism scale of the CFI, the total score of the LEE, and the client version of the PCS. These correlations, however, were rather weak, which implies that the three instruments have little in common with each other. The professionals' version of the PCS does not appear to be an EE instrument. Conclusions: The results suggest that the CFI still remains the best instrument for assessing EE in a therapeutic relationship (between a professional and a client). If there is insufficient time to administer the CFI, then the client version of the PCS and the LEE can be used with the qualification that the PCS and LEE also measure other aspects and thus cannot completely replace the CFI. Nevertheless, the research indicates that asking the clients would seem to provide a better indication of the level of the professionals' criticism rather than asking the professionals themselves directly.

The Structure Among Measures of Personality, Social Attitudes, Values, and Social Norms

2007 ◽  
Vol 28 (4) ◽  
pp. 240-251 ◽  
Author(s):  
Lazar Stankov
Keyword(s):  
Factor Analysis ◽  
Individual Differences ◽  
Social Norms ◽  
Social Interactions ◽  
Correlation Matrix ◽  
Social Attitudes ◽  
Group Differences ◽  
Factor Scores ◽  
Ethnic Group Differences ◽  
Inside Out

Abstract. This paper presents the results of a study that employed measures of personality, social attitudes, values, and social norms that have been the focus of recent research in individual differences. These measures were given to a sample of participants (N = 1,255) who were enrolled at 25 US colleges and universities. Factor analysis of the correlation matrix produced four factors. Three of these factors corresponded to the domains of Personality/Amoral Social Attitudes, Values, and Social Norms; one factor, Conservatism, cut across the domains. Cognitive ability showed negative correlation with conservatism and amoral social attitudes. The study also examined gender and ethnic group differences on factor scores. The overall interpretation of the findings is consistent with the inside-out view of human social interactions.

Lecture demonstrations on the interference of partially coherent light

1979 ◽  
Vol 129 (9) ◽  
pp. 151
Author(s):  
G.S. Egorov ◽  
S.N. Mensov ◽  
Nikolai S. Stepanov
Keyword(s):  
Coherent Light ◽  
Partially Coherent ◽  
Partially Coherent Light
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