Development of technologies for high accuracy signal matching based on directional statistics and phase-only correlation functions

2016 Fiscal Year Final Research Report

• Project/Area Number: 26420336
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Communication/Network engineering
• Research Institution: Tohoku University
• Principal Investigator: Yamaki Shunsuke 東北大学, サイバーサイエンスセンター, 助教 (10534076)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Keywords: 位相限定相関関数 / 方向統計学 / 信号マッチング

Outline of Final Research Achievements

For signal matching technologies based on Phase-Only Correlation functions, we have clarified various mathematical properties of the POC functions from the viewpoint of directional statistics. We have first formulated statistical properties of the POC functions between two signals assuming their phase-spectra to be bivariate random variables. Next, we have evaluated fluctuation of the POC functions between two signals corrupted by white Gaussian noise. Furthermore, in order to give some criteria for discriminant between the peak and sidelobe in the POC functions, we have derived probability density functions of the POC functions with stochastic phase-spectrum differences.

Free Research Field

工学