Detailed noise statistics for an optically preamplified direct detection receiver

Søren Lykke Danielsen; Benny Mikkelsen; Terji Durhuus; Carsten Jørgensen; Kristian Stubkjær

doi:10.1109/50.387817

Detailed noise statistics for an optically preamplified direct detection receiver

Søren Lykke Danielsen, Benny Mikkelsen, Terji Durhuus, Carsten Jørgensen, Kristian Stubkjær

Technical University of Denmark

Research output: Contribution to journal › Journal article › Research › peer-review

530 Downloads (Pure)

Abstract

We describe the exact statistics of an optically preamplified direct detection receiver by means of the moment generating function. The theory allows an arbitrary shaped electrical filter in the receiver circuit. The moment generating function (MGF) allows for a precise calculation of the error rate by using the inverse Fast Fourier transform (FFT). The exact results are compared with the usual Gaussian approximation (GA), the saddlepoint approximation (SAP) and the modified Chernoff bound (MCB). This comparison shows that the noise is not Gaussian distributed for all values of the optical amplifier gain. In the region from 20-30 dB gain, calculations show that the GA underestimates the receiver sensitivity while the SAP is very close to the results of our exact model. Using the MGF derived in the article we then find the optimal bandwidth of the electrical filter in the receiver circuit and calculate the sensitivity degradation due to inter symbol interference (ISI)

Original language	English
Journal	Journal of Lightwave Technology
Volume	13
Issue number	5
Pages (from-to)	977-981
ISSN	0733-8724
DOIs	https://doi.org/10.1109/50.387817
Publication status	Published - 1995

Bibliographical note

Copyright: 1995 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

Access to Document

10.1109/50.387817

DanielsenFinal published version, 492 KB

OpenUrl availability

Full text

Cite this

@article{f714ab60094e4e869f52d3f1e905b147,

title = "Detailed noise statistics for an optically preamplified direct detection receiver",

abstract = "We describe the exact statistics of an optically preamplified direct detection receiver by means of the moment generating function. The theory allows an arbitrary shaped electrical filter in the receiver circuit. The moment generating function (MGF) allows for a precise calculation of the error rate by using the inverse Fast Fourier transform (FFT). The exact results are compared with the usual Gaussian approximation (GA), the saddlepoint approximation (SAP) and the modified Chernoff bound (MCB). This comparison shows that the noise is not Gaussian distributed for all values of the optical amplifier gain. In the region from 20-30 dB gain, calculations show that the GA underestimates the receiver sensitivity while the SAP is very close to the results of our exact model. Using the MGF derived in the article we then find the optimal bandwidth of the electrical filter in the receiver circuit and calculate the sensitivity degradation due to inter symbol interference (ISI)",

author = "Danielsen, {S{\o}ren Lykke} and Benny Mikkelsen and Terji Durhuus and Carsten J{\o}rgensen and Kristian Stubkj{\ae}r",

note = "Copyright: 1995 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE",

year = "1995",

doi = "10.1109/50.387817",

language = "English",

volume = "13",

pages = "977--981",

journal = "Journal of Lightwave Technology",

issn = "0733-8724",

publisher = "Institute of Electrical and Electronics Engineers",

number = "5",

}

TY - JOUR

T1 - Detailed noise statistics for an optically preamplified direct detection receiver

AU - Danielsen, Søren Lykke

AU - Mikkelsen, Benny

AU - Durhuus, Terji

AU - Jørgensen, Carsten

AU - Stubkjær, Kristian

N1 - Copyright: 1995 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

PY - 1995

Y1 - 1995

N2 - We describe the exact statistics of an optically preamplified direct detection receiver by means of the moment generating function. The theory allows an arbitrary shaped electrical filter in the receiver circuit. The moment generating function (MGF) allows for a precise calculation of the error rate by using the inverse Fast Fourier transform (FFT). The exact results are compared with the usual Gaussian approximation (GA), the saddlepoint approximation (SAP) and the modified Chernoff bound (MCB). This comparison shows that the noise is not Gaussian distributed for all values of the optical amplifier gain. In the region from 20-30 dB gain, calculations show that the GA underestimates the receiver sensitivity while the SAP is very close to the results of our exact model. Using the MGF derived in the article we then find the optimal bandwidth of the electrical filter in the receiver circuit and calculate the sensitivity degradation due to inter symbol interference (ISI)

AB - We describe the exact statistics of an optically preamplified direct detection receiver by means of the moment generating function. The theory allows an arbitrary shaped electrical filter in the receiver circuit. The moment generating function (MGF) allows for a precise calculation of the error rate by using the inverse Fast Fourier transform (FFT). The exact results are compared with the usual Gaussian approximation (GA), the saddlepoint approximation (SAP) and the modified Chernoff bound (MCB). This comparison shows that the noise is not Gaussian distributed for all values of the optical amplifier gain. In the region from 20-30 dB gain, calculations show that the GA underestimates the receiver sensitivity while the SAP is very close to the results of our exact model. Using the MGF derived in the article we then find the optimal bandwidth of the electrical filter in the receiver circuit and calculate the sensitivity degradation due to inter symbol interference (ISI)

U2 - 10.1109/50.387817

DO - 10.1109/50.387817

M3 - Journal article

SN - 0733-8724

VL - 13

SP - 977

EP - 981

JO - Journal of Lightwave Technology

JF - Journal of Lightwave Technology

IS - 5

ER -

Detailed noise statistics for an optically preamplified direct detection receiver

Abstract

Bibliographical note

Access to Document

OpenUrl availability

Fingerprint

Cite this