本課程之宗旨乃為離散時間訊號處理提供足夠嚴謹的數學基礎, 並透過電腦作業設計，培養學生的直覺。 This course aims to provide sufficiently rigorous mathematical foundation for discrete-time signal processing. Computer-ba
核心能力
Core Competencies
| ♠ | 豐富的學、物理、科學與工程知識，以及實際運用的能力 | 80 % |
| An ability to learn profound knowledge in mathematics, physics, and science, as well as to apply the knowledge to engineering problems | ||
| ♠ | 執行電機工程實務所需理論、方法、技術及使用相關軟硬體工具之能力 | 10 % |
| An ability to use the theories, methods, techniques, and related necessary software/hardware tools for electrical engineering practice. | ||
| ♠ | 專業的外語能力及與國際社群互動的能力 | 6 % |
| An ability to communicate professionally in a foreign language, as well as to interact with international communities | ||
| ♠ | 掌握科技趨勢，並了解科技對人類、環境、社會及全球的影響 | 2 % |
| An awareness of the technology trends and their uman/environmental/social/global impacts | ||
| ♠ | 發掘問題、分析問題及處理問題的能力 | 1 % |
| An ability to identify, analyze, and solve problems. | ||
| ♠ | 理解專業倫理及社會責任 | 1 % |
| An understanding of professional ethics and social responsibilities. |
課程說明
Course Description
| ♠ | This course introduces discrete-time signal processing with an emphasis on rigor. |
| Topics including sampling and aliasing, discrete-time Fourier transform, z- Transform, FIR/IIR filter design, filter structures, and discrete and short-time Fourier transform. | |
| ♠ | Pre-requisite: Calculus, Linear Algebra, Probability (to a certain extent), |
| Signals and Systems (or equivalent, upon lecturer's consent). | |
Text Books
| ♠ | Discrete-Time Signal Processing, A. V. Oppenheim, |
| and R. W. Schafer, 3rd Ed., Pearson, 2009 |
教學方式
Teaching methods
| ♠ | This course will be taught **in English** by the lecturer using combination of |
| slides and the blackboard. There will also be homework discussion sessions where students will be given bonus points if they volunteer to demonstrate their solution to the problem. |
教學進度
Syllabus
| ♠ | Lectures will cover sampling and signal reconstruction, analysis of LTI systems, |
| FIR and IIR filter design, discrete Fourier transforms, short-time Fourier transform (above are covered in textbook Chapter 4-10). |
成績考核
Evaluation
| ♠ | Midterm I | 20 % |
| ♠ | Midterm II | 20 % |
| ♠ | Final | 30 % |
| ♠ | Homework | 24 % |
| ♠ | participation | 6 % |
| ♠ | Exams will be close-book while allowing an A4 double-sided cheat-sheet | |
| ♠ | Rules regarding the usage of generative AI tools: | |
| Students are allowed to used generative AI for all the homework. |
| ♠ | 物理實驗能力 | 30% |
| Capability of physics experiment | ||
| ♠ | 高階物理知識 | 20% |
| High level knowledge of physics | ||
| ♠ | 溝通表達能力 | 10% |
| Capability of communication and expression | ||
| ♠ | 團隊合作能力 | 10% |
| Capability of collaboration | ||
| ♠ | 研究導向物理知識 | 10% |
| Knowledge about physics research | ||
| ♠ | 計劃組織能力 | 10% |
| capability of planning and organization |
課程描述
Course description
Thereare two main tracks of this lab course: (1) quantum foundation, and (2) quantumcontrol. We will explore various topics in quantum foundation by performingsome classic single-photon experiments (quantum optics lab), whilesophisticated quantum control protocols will be implemented withnitrogen-vacancy centers and microwave sequences (quantum spinlab).
課程計劃
Course plan
| ♠ | 1st week: introduction and preparation (9/4) |
| ♠ | 2nd-15th week: 14 regularlab sessions |
| ♠ | 16th week: bonus lab session (12/18) |
| ♠ | Regular lab sessions: |
9/11,9/18, 9/25, 10/2, 10/9, 10/16, 10/23, 10/30, 11/6, 11/13, 11/20, 11/27, 12/4,12/11 |
課程內容
Course content
| ♠ | quantum optics lab | ｜regular session |
| 1. | Lab1a | HBTexperiment with attenuated laser |
| 2. | Lab2a | Photonpair source |
| 3. | Lab3a | HBTexperiment with one arm of the pair source |
| 4. | Lab4a | GRA experiment with classical and nonclassical light |
| 5. | Lab5a | Malus’law for single photons |
| 6. | Lab6a | Single photon Michelson interferometer |
| 7. | Lab7a | Quantumeraser |
| ♠ | quantum spin lab | ｜regularsession |
| 8. | Lab1b | Photoluminescence from NV-centers |
| 9. | Lab2b | Opticallydetected magnetic resonance |
| 10. | Lab3b | Rabi oscillation |
| 11. | Lab4b | Relaxation times |
| 12. | Lab5b | Dynamical decoupling |
| 13. | Lab6b | Single qubit operations and quantum state tomography |
| 14. | Lab7b | Hyperfine spectroscopy |
教學方法
Teaching method
| 1. | Essential theoretical background of each experiment will be covered in lectures, which will be delivered |
| in the form of board work. | |
| 2. | Dataanalysis as well as interpretation of experimental results are critical ineffective learning of quantum physics. |
| To this end, academic writing and scientific communication will be emphasized throughout this course. | |
參考文獻
References
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