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課程名稱 |
時頻分析和小波轉換
TIME-FREQUENCY ANALYSIS AND WAVELET TRANSFORM |
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開課學期 |
98-1 |
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授課對象 |
電機資訊學院 電信工程學研究所 |
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授課教師 |
丁建均 |
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課號 |
CommE5030 |
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課程識別碼 |
942 U0420 |
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班次 |
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學分 |
3 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期四2,3,4(9:10~12:10) |
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上課地點 |
電二145 |
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備註 |
總人數上限：50人 |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
(1) Introduction
(2) Short-Time Fourier Transform
(3) Gabor Transform
(4) Wigner Distribution Function
(5) S Transform and Cohen’s Class Time-Frequency Distribution
(6) Implementation of the Time-Frequency Analysis
(7) Movement in the Time-Frequency Plane and Fractional Fourier Transforms
(8) Filter Design in the Time-Frequency Domain
(9) Modulation, Multiplexing, Sampling, and Other Applications
(10) Hilbert Huang Transform
(11) Wavelet Transform
(12) Discrete Wavelet Transform and 2-D Wavelet Transform
(13) Wavelet Transform for Image Processing
(14) Other Applications of the Wavelet Transform |
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課程目標 |
傳統的信號處理是使用傅立葉轉換來做分析
本課將學習如何將時頻分析和小波轉換用在信號分析上，以及它們取代傅立葉轉換的可能性 |
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課程要求 |
上課要常出席，並認真學習 |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
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參考書目 |
S. Qian and D. Chen, Joint Time-Frequency Analysis: Methods and Applications, Prentice-Hall, 1996.
L. Cohen, Time-Frequency Analysis, Prentice-Hall, New York, 1995.
L. Debnath, Wavelet Transforms and Time-Frequency Signal Analysis, Birkhauser, Boston, 2001.
S. Mallat, A Wavelet Tour of Signal Processing, Academic Press, 2nd edition, 1999.
R. K. Young, Wavelet Theory and Its Applications, Kluwer Academic Pub., Boston, 1995.
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
期末報告 |
25% |
有四種選擇(書面、口頭、Wiki、tutorial) |
2. |
作業 |
60% |
5 times |
3. |
平時 |
15% |
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週次 |
日期 |
單元主題 |
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第1週 |
9/17 |
Introduction |
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第2週 |
9/24 |
Instantaneous Frequency |
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第3週 |
10/01 |
Short-Time Fourier Transform |
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第4週 |
10/08 |
Gabor Transform |
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第5週 |
10/15 |
Wigner Distribution Function |
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第6週 |
10/22 |
S Transform and Cohen’s Class Time-Frequency Distribution |
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第7週 |
10/29 |
Implementation of the Time-Frequency Analysis |
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第8週 |
11/05 |
Movement in the Time-Frequency Plane |
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第9週 |
11/12 |
Fractional Fourier Transform |
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第10週 |
11/19 |
Filter Design in the Time-Frequency Domain |
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第11週 |
11/26 |
Modulation, Multiplexing, Sampling, and Other Applications |
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第12週 |
12/03 |
Hilbert Huang Transform |
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第13週 |
12/10 |
Oral Report |
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第14週 |
12/17 |
Wavelet Transform |
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第15週 |
12/24 |
Discrete Wavelet Transform and 2-D Wavelet Transform
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第16週 |
12/31 |
Wavelet Transform for Image Processing |
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第17週 |
1/07 |
Other Applications of the Wavelet Transform |
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