Improved modulation format identification based on Stokes parameters using combination of fuzzy c-means and hierarchical clustering in coherent optical communication system

Longxue Cheng; Lixia Xi; Donghe Zhao; Xianfeng Tang; Wenbo Zhang; Xiaoguang Zhang

doi:10.3788/COL201513.100604

Chinese Optics Letters, Volume. 13, Issue 10, 100604(2015)

Improved modulation format identification based on Stokes parameters using combination of fuzzy c-means and hierarchical clustering in coherent optical communication system

Longxue Cheng¹, Lixia Xi^1、*, Donghe Zhao¹, Xianfeng Tang¹, Wenbo Zhang², and Xiaoguang Zhang¹

Author Affiliations

¹State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China

²School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

show less

Figures & Tables(10)

Fig. 1. Stokes cluster inside the Poincaré sphere. (a) PM-BPSK, (b) PM-QPSK, (c) PM-8PSK, (d) PM-16-QAM, and (e) PM-32-QAM.

Download full size

View in Article

Fig. 2. Constellation diagram of 16-QAM.

Download full size

View in Article

Fig. 3. Stokes cluster with nonnegative coordinate values inside the Poincaré sphere. (a) PM-16-QAM and (b) PM-32-QAM.

Download full size

View in Article

Fig. 4. Simulation setup and decision flowchart.

Download full size

View in Article

Fig. 5. γmax versus OSNR for various modulation formats.

Download full size

View in Article

Fig. 6. Probability of correct identification versus OSNR.

Download full size

View in Article

Fig. 7. Probability of correct identification versus DGD.

Download full size

View in Article

Table 1. Amplitude and Phase of 16-QAM
View table
View in Article
Table 1. Amplitude and Phase of 16-QAM
Amplitude ( $A_{x}$ or $A_{y}$ ) Phase ( $φ_{x}$ or $φ_{y}$ )
$\sqrt{2}$ $\pm \frac{π}{4}, \pm \frac{3 π}{4}$
$\sqrt{10}$ $\pm \frac{π}{10}, \pm \frac{4 π}{10}, \pm \frac{6 π}{10}, \pm \frac{9 π}{10}$
$3 \sqrt{2}$ $\pm \frac{π}{4}, \pm \frac{3 π}{4}$

Table 2. Possible Values of (s1,s2,s3)

View table

View in Article

Table 2. Possible Values of (s1,s2,s3)

$(A_{x}, A_{y})$	$δ$	$(s_{1}, s_{2}, s_{3})$
$(\sqrt{2}, \sqrt{2})$	$0, \pm \frac{π}{2}, π$	$(0, 0, \pm 4), (0, \pm 4, 0)$ .
$(\sqrt{10}, \sqrt{10})$	$0, \pm \frac{2 π}{10}, \pm \frac{3 π}{10}, \pm \frac{5 π}{10}, \pm \frac{7 π}{10}, \pm \frac{8 π}{10}, π$	$(0, 0, \pm 20), (0, \pm 20, 0)$ , $(0, \pm 20 \cos \frac{2 π}{10}, \pm 20 \sin \frac{2 π}{10})$ , $(0, \pm 20 \cos \frac{3 π}{10}, \pm 20 \sin \frac{3 π}{10})$ .
$(3 \sqrt{2}, 3 \sqrt{2})$	$0, \pm \frac{π}{2}, π$	$(0, 0, \pm 36), (0, \pm 36, 0)$ .
$(\sqrt{2}, \sqrt{10})$	$\pm \frac{3 π}{20}, \pm \frac{7 π}{20}, \pm \frac{13 π}{20}, \pm \frac{17 π}{20}$	$(\pm 8, \pm 2 \sqrt{20} \cos \frac{3 π}{20}, \pm 2 \sqrt{20} \sin \frac{3 π}{20})$ , $(\pm 8, \pm 2 \sqrt{20} \cos \frac{7 π}{20}, \pm 2 \sqrt{20} \sin \frac{7 π}{20})$ .
$(\sqrt{2}, 3 \sqrt{2})$	$0, \pm \frac{π}{2}, π$	$(\pm 16, 0, \pm 12), (\pm 16, \pm 12, 0)$ .
$(\sqrt{10}, 3 \sqrt{2})$	$\pm \frac{3 π}{20}, \pm \frac{7 π}{20}, \pm \frac{13 π}{20}, \pm \frac{17 π}{20}$	$(\pm 8, \pm 6 \sqrt{20} \cos \frac{3 π}{20}, \pm 6 \sqrt{20} \sin \frac{3 π}{20})$ , $(\pm 8, \pm 6 \sqrt{20} \cos \frac{7 π}{20}, \pm 6 \sqrt{20} \sin \frac{7 π}{20})$ .

Table 3. Optimal Cluster Number
View table
View in Article
Table 3. Optimal Cluster Number
BPSK QPSK 8PSK 16-QAM 32-QAM
Theoretical Value 2 4 8 14 43
Decision Metric [1,2] [4,5] [7,11] [12,28] [29,51]

Tools

Get Citation

Copy Citation Text

Longxue Cheng, Lixia Xi, Donghe Zhao, Xianfeng Tang, Wenbo Zhang, Xiaoguang Zhang, "Improved modulation format identification based on Stokes parameters using combination of fuzzy c-means and hierarchical clustering in coherent optical communication system," Chin. Opt. Lett. 13, 100604 (2015)

Download Citation

EndNote(RIS)BibTex Plain Text

Set citation alerts for article

Save article for my favorites