光學類神經網路邏輯閘

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姓名

孫璟葆(Ching-Pao Sun) 查詢紙本館藏

畢業系所

光電科學與工程學系

論文名稱

光學類神經網路邏輯閘
(Logic Gates Formed by Optical Neurons)

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摘要(中)

邏輯閘在數位訊號處理中扮演重要的角色。在本研究中，我們使用光通訊軟體(OptSim)來設計以回聲狀態網路(Echo State Network, ESN)為類神經網路數學模型的光學架構。光源為一CW雷射，神經元中使用到的在光學元件包含：摻鉺光纖放大器、耦合器、光纖。輸入電信號經調制器調制光源CW雷射信號進入神經元。在本論文中，我們使用馬赫-曾德爾強度調制器與相位調制器，來調制輸入信號。在邏輯閘的輸出端，我們使用相位調制器來優化輸出結果，邏輯閘輸出信號的光強度由光偵測器接收，轉換為電信號。
邏輯閘的神經元中的耦合器提供了光干涉的效果，光干涉的輸出與輸入的為非線性的關係。我們利用此一關係來提供在ESN中所需的非線性函數效果。輸入信號偽亂數二進序列(Pseudo-Random Binary Sequence, PRBS)訊號作為訓練資料。神經元中的光纖提供了光延遲的效果，使得每一bit信號皆能與前一bit信號重疊。我們分別透過監督式與非監督式的學習方式來訓練類神經網路，最後透過誤碼率(Bit Error Rate, BER)及歸一化均方根誤差(Normalized Root Mean Square Error, NRMSE)來評估系統的表現。
在使用相位調制器調制2048位元PRBS信號的結構中，我們可得到XOR的邏輯閘(監督式學習系統誤碼率為0，NRMSE為0.20；非監督式學習系統誤碼率為0，NRMSE為0.16)。在使用強度調制器調制2048位元PRBS信號的結構中，OR邏輯閘亦呈現較低的誤碼率(誤碼率為0.0654，NRMSE為0.51)。
相位調制器與強度調制器比較起來，相位調制器的優點為: 成本較低、速度較快、元件較小、光耗損較少。以本研究結果來看，誤碼率也展現較優越的性能。因此選擇相位調制器用於光神經網路系統的輸入信號調制是比較好的選擇。

摘要(英)

Logic gates play an important role in digital signal processing. In this work, we use the software (OptSim) for optical fiber communication system to investigate an optical system based on the echo-state networks which is a kind of the neural networks.
A continuous wave laser is used as the light source of the system. The Optical neurons consists of erbium-doped fiber amplifiers, directional couplers and optical fibers. The continuous wave laser is modulated by the modulators with the input electrical signals. In this work, we use Mach-Zehnder intensity modulators and phase modulators to modulate the input signals. The performance of the optical logic gate is optimized by a phase modulator. The optical output signal received by a photodiode to convert to electrical signals.
The directional couplers in the optical neurons provide the effect of optical interference. The input and output relation in the effect of the optical interference is non-linear. This relation provides the necessary non-linearity for the neuron networks. We use the Pseudo-Random Binary Sequence (PRBS)s the input signals. The optical fibers offer a delay to combine each bit with previous bit. The bit error rate (BER) and the normalized root mean square error (NRMSE) is analyzed to study the performance of the system.
In the system, we use the phase modulator to modulate the 2048 PRBS input signals to test the performance of the logic gates. XOR logic gate can be obtained with BER to be 0, NRMSE to be 0.20 for supervised learning, and BER to be 0, NRMSE to be 0.16 for unsupervised learning. In the system using Mach-Zehnder modulator to modulate the 2048 PRBS input signals, OR logic gate can be obtained with BER to be 0.0654, NRMSE to be 0.51.
For the commercial modulators, the phase modulators are often more compact and cost-effective than intensity modulators. The operation speed of the phase modulators can be higher and the optical loss can be lower than those of the intensity modulators. From the results obtained in this work, we can also obtain lower BER for the systems using phase modulators. Therefore, the phase modulators are more suitable to modulate the input signals for the optical neural network system.

關鍵字(中)

★ 類神經網路

關鍵字(英)

★ neural networks

論文目次

目錄
中文摘要 i
Abstract iii
誌謝 v
目錄 vi
圖目錄 ix
表目錄 xii
第一章序論 1
1.1 研究動機 1
1.2 相關研究發展 3
1.3 研究目的 5
1.4 結論 6
第二章基礎理論與模擬方法介紹 7
2.1 監督學習與回聲狀態網路 7
2.2 非監督式學習 11
2.3 誤碼率 12
2.4 歸一化均方根誤差 15
2.5 偽亂數二進位序列 16
2.6 邏輯閘 17
2.7 光纖通訊軟體OptSim介紹 19
2.8 光纖通訊元件介紹 [33] 20
2.8.1 摻鉺光纖放大器 [30] 20
2.8.2 耦合器 22
2.8.3 光纖 23
2.8.4 相位調制器 24
2.8.5 馬赫-曾德爾調制器 25
2.9 結論 26
第三章研究方法 27
3.1 類神經元設計 27
3.2 輸出權重值與隱藏層輸出關係 28
3.3 結構設計與模擬流程 30
3.3.1 交錯神經元結構 30
3.3.2 獨立神經元結構 31
3.4 輸出訊號評估 31
3.5 結論 34
第四章偽亂數二進位序列訓練結果 35
4.1 光源以及訊號參數設定 35
4.2 神經元參數設定 37
4.3 訊號訓練結果 38
4.3.1 監督式交錯神經元結構 38
4.3.2 監督式獨立神經元結構 42
4.3.3 非監督式交錯神經元結構 45
4.3.4 非監督式獨立神經元結構 49
4.4 結論 52
第五章總論與未來展望 56
5.1 總結 56
5.2 未來展望 57
參考文獻 58

參考文獻

參考文獻
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指導教授

陳啟昌

審核日期

2020-7-21

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