Statistical analysis of phase-only correlation functions between two signals with stochastic bivariate phase-spectra

Shunsuke Yamaki; Ryo Suzuki; Masayuki Kawamata; Makoto Yoshizawa

doi:10.1109/APSIPA.2016.7820892

Statistical analysis of phase-only correlation functions between two signals with stochastic bivariate phase-spectra

Shunsuke Yamaki, Ryo Suzuki, Masayuki Kawamata, Makoto Yoshizawa

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

This paper proposes statistical analysis of phase-only correlation functions between two signals with stochastic phase-spectra. We derive the expectation and variance of the phase-only correlation functions assuming phase-spectra of two input signals to be bivariate probability variables. As a result, we give expressions for the expectation and variance of phase-only correlation functions in terms of joint characteristic functions of the bivariate probability density function of the phase-spectra.

Original language	English
Title of host publication	2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9789881476821
DOIs	https://doi.org/10.1109/APSIPA.2016.7820892
Publication status	Published - 2017 Jan 17
Event	2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2016 - Jeju, Korea, Republic of Duration: 2016 Dec 13 → 2016 Dec 16

Publication series

Name	2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2016

Other

Other	2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2016
Country/Territory	Korea, Republic of
City	Jeju
Period	16/12/13 → 16/12/16

ASJC Scopus subject areas

Artificial Intelligence
Computer Science Applications
Information Systems
Signal Processing

Access to Document

10.1109/APSIPA.2016.7820892

Cite this

Yamaki, S., Suzuki, R., Kawamata, M., & Yoshizawa, M. (2017). Statistical analysis of phase-only correlation functions between two signals with stochastic bivariate phase-spectra. In 2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2016 [7820892] (2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/APSIPA.2016.7820892

Statistical analysis of phase-only correlation functions between two signals with stochastic bivariate phase-spectra. / Yamaki, Shunsuke; Suzuki, Ryo; Kawamata, Masayuki et al.
2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2016. Institute of Electrical and Electronics Engineers Inc., 2017. 7820892 (2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2016).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Yamaki, S, Suzuki, R, Kawamata, M & Yoshizawa, M 2017, Statistical analysis of phase-only correlation functions between two signals with stochastic bivariate phase-spectra. in 2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2016., 7820892, 2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2016, Institute of Electrical and Electronics Engineers Inc., 2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2016, Jeju, Korea, Republic of, 16/12/13. https://doi.org/10.1109/APSIPA.2016.7820892

Yamaki S, Suzuki R, Kawamata M, Yoshizawa M. Statistical analysis of phase-only correlation functions between two signals with stochastic bivariate phase-spectra. In 2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2016. Institute of Electrical and Electronics Engineers Inc. 2017. 7820892. (2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2016). doi: 10.1109/APSIPA.2016.7820892

Yamaki, Shunsuke ; Suzuki, Ryo ; Kawamata, Masayuki et al. / Statistical analysis of phase-only correlation functions between two signals with stochastic bivariate phase-spectra. 2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2016. Institute of Electrical and Electronics Engineers Inc., 2017. (2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2016).

@inproceedings{da1a78093ae744eabb3efad4fe038dad,

title = "Statistical analysis of phase-only correlation functions between two signals with stochastic bivariate phase-spectra",

abstract = "This paper proposes statistical analysis of phase-only correlation functions between two signals with stochastic phase-spectra. We derive the expectation and variance of the phase-only correlation functions assuming phase-spectra of two input signals to be bivariate probability variables. As a result, we give expressions for the expectation and variance of phase-only correlation functions in terms of joint characteristic functions of the bivariate probability density function of the phase-spectra.",

author = "Shunsuke Yamaki and Ryo Suzuki and Masayuki Kawamata and Makoto Yoshizawa",

year = "2017",

month = jan,

day = "17",

doi = "10.1109/APSIPA.2016.7820892",

language = "English",

series = "2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2016",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2016",

note = "2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2016 ; Conference date: 13-12-2016 Through 16-12-2016",

}

TY - GEN

T1 - Statistical analysis of phase-only correlation functions between two signals with stochastic bivariate phase-spectra

AU - Yamaki, Shunsuke

AU - Suzuki, Ryo

AU - Kawamata, Masayuki

AU - Yoshizawa, Makoto

PY - 2017/1/17

Y1 - 2017/1/17

N2 - This paper proposes statistical analysis of phase-only correlation functions between two signals with stochastic phase-spectra. We derive the expectation and variance of the phase-only correlation functions assuming phase-spectra of two input signals to be bivariate probability variables. As a result, we give expressions for the expectation and variance of phase-only correlation functions in terms of joint characteristic functions of the bivariate probability density function of the phase-spectra.

AB - This paper proposes statistical analysis of phase-only correlation functions between two signals with stochastic phase-spectra. We derive the expectation and variance of the phase-only correlation functions assuming phase-spectra of two input signals to be bivariate probability variables. As a result, we give expressions for the expectation and variance of phase-only correlation functions in terms of joint characteristic functions of the bivariate probability density function of the phase-spectra.

UR - http://www.scopus.com/inward/record.url?scp=85013783783&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85013783783&partnerID=8YFLogxK

U2 - 10.1109/APSIPA.2016.7820892

DO - 10.1109/APSIPA.2016.7820892

M3 - Conference contribution

AN - SCOPUS:85013783783

T3 - 2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2016

BT - 2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2016

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2016

Y2 - 13 December 2016 through 16 December 2016

ER -

Statistical analysis of phase-only correlation functions between two signals with stochastic bivariate phase-spectra

Abstract

Publication series

Other

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this