電子,工程

層級：	課程資料
媒體：	影音

數位訊號處理概論｜Offered in English 授權版

2025-09-11-2040-12-31

國立清華大學電機工程學系劉奕汶

關鍵字：數位訊號 discrete-time signal signal processing

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-based homework will be designed to cultivate insight in this field.

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).

指定用書

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

1.	David J. Griffiths, "Introduction to Quantum Mechanics" 2nd edition (Pearson Prentice Hall, 2004)
2.	Christopher C. Gerry and Peter L. Knight, "Introductory Quantum Optics" 1st edition
	(Cambridge University Press, 2004)
3.	Michael A. Nielsen and Issac L. Chuang, "Quantum Computation and Quantum Information"
	(Cambridge University Press, 2000)
4.	Peter W. Milonni and Joseph H. Eberly, "Laser Physics" (Wiley, 2010)
5.	Peter W. Milonni, "The Quantum Vacuum: An Introduction to Quantum Electrodynamics"
	(Academic Press, 1994)

前往課程 View Course
https://ocw.nthu.edu.tw/courses/356

電子,工程

數位訊號處理概論｜Offered in English 授權版

相關課程