【正文】 李鵬 一、畢業(yè)論文﹙設(shè)計(jì)﹚題目 小波變換在信號(hào)及圖像處理中的應(yīng)用研究 二、畢業(yè)論文﹙設(shè)計(jì)﹚工作自 20xx 年 12 月 9 日 起至 20xx 年 6 月 10 日止 三、畢業(yè)論文﹙設(shè)計(jì)﹚進(jìn)行地點(diǎn) : 物電學(xué)院實(shí)驗(yàn)室 四、畢業(yè)論文﹙設(shè)計(jì)﹚的內(nèi)容要求： 內(nèi)容要求： 傳統(tǒng)的信號(hào)理論，是建立在 Fourier 分析基礎(chǔ)上的，而 Fourier 變換作為一種全局性的變化，其有一定的局限性。本次畢業(yè)設(shè)計(jì)主要研究如何將小波變換應(yīng)用到信號(hào)的提取及圖像壓縮、增強(qiáng)等領(lǐng)域的方法，例如小波變換與信號(hào)故障檢測(cè)；小波變換與圖像分割等領(lǐng)域的應(yīng)用。 811 周：根據(jù)現(xiàn)有的算法在 MATLAB 下仿真驗(yàn)證。小波分析對(duì)圖像的處理包括： 圖像壓縮、圖像增強(qiáng)及圖像分割等 。 【關(guān)鍵詞】 小波變換；傅里葉分析；小波奇異性；信號(hào)處理；圖像處理； 陜西理工學(xué)院畢業(yè)設(shè)計(jì) IV Based on the application of wavelet transform in signal and image processing research Li Peng (Grade11 Class2,Major of Communication Engineering, School of Physics and Telemunication Engineering, School University of Technology, Han Zhong 723000,China) Tutor: Chen Li 【 abstract】 Wavelet analysis has very important applications in signal and image processing, it is the development and continuation of Fourier analysis Thought. Wavelet analysis of image processing include: image pression, image enhancement and image segmentation. This paper studies the theory and application of wavelet analysis wavelet transform in signal processing and image processing. Firstly the theory of wavelet and wavelet multiresolution analysis, and then introduces the wavelet transform in image enhancement application, Firstly image is deposed and then the lowfrequency or high frequency part of wavelet deposition is enhanced or suppressed according to the need .At last, wavelet singularity theory is studied, and according to one relationship between the wavelet transform modulus maxima position signal. It is achieved that the precise mutation of mechanical failure detection. 【 key words】 Wavelet transform。 Image processing. 陜西理工學(xué)院畢業(yè)設(shè)計(jì) 目錄 ..................................................................................................................................... 1 ....................................................................................... 1 ..................................................................................................... 1 ..................................................................................................... 1 .................................................................................................. 3 ................................................................................................................... 3 ......................................................................................................... 3 一維連續(xù)小波變換 (CWT)......................................................................... 3 一維離散小波變換 (DWT)......................................................................... 4 ......................................................................................................... 4 二維連續(xù) 小波變換 .................................................................................... 4 二維離散小波變換 .................................................................................... 5 .................................................................................. 5 小結(jié) ........................................................................................................................... 6 ........................................................................................ 8 Mallat 算法 ............................................................................................................ 8 ....................................................................................... 9 .................................................................. 10 非線性增強(qiáng) ................................................................................................ 10 圖像的鈍化 ................................................................................................ 11 陜西理工學(xué)院畢業(yè)設(shè)計(jì) 圖像的銳化 ................................................................................................ 11 基于小波變換的圖像去噪 .................................................................... 12 .......................................................................................................................... 14 ............................................................................ 15 ................................................................................................... 15 小波函數(shù)的選取及小波基波選擇的標(biāo)準(zhǔn) ................................................... 16 不同小波基對(duì)信號(hào)奇變檢測(cè)仿真對(duì)比 ....................................................... 16 不同小波基 對(duì)突變信號(hào)突變點(diǎn)進(jìn)行檢測(cè) ....................................... 16 不同小波基對(duì)緩變信號(hào)的檢測(cè) .......................................................... 17 ............................................................. 18 .......................................................................................................................... 18 結(jié)束語(yǔ) ................................................................................................................................... 20 致謝 ........................................................................................................................................ 21 參考 文獻(xiàn) .............................................................................................................................. 22 附錄 A： 英文文獻(xiàn)原文 ..............................................................................................233 附錄 B： 英文文獻(xiàn)譯文 ..............................................................................................266 附錄 C： 程序源代碼 ...................................................................................................299 陜西理工學(xué)院畢業(yè)設(shè)計(jì) 第 1 頁(yè) 共 42 頁(yè) 論文研究的背景和意義 在我們所處的 數(shù)字 信息社會(huì)，因?yàn)槿藗儗?duì)于信息的獲取和交流的要求越來(lái)越高，從而促進(jìn)了信息處理和應(yīng)用技術(shù)的飛速發(fā)展。 因此短時(shí)傅里葉分析 對(duì)很多應(yīng)用來(lái)說(shuō)是不夠精確的， 依然