基于先驗(yàn)信息的稀疏信號(hào)重構(gòu)理論與算法研究

基于先驗(yàn)信息的稀疏信號(hào)重構(gòu)理論與算法研究

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時(shí)間:2019-05-17

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1、目錄i目目目錄錄錄目錄······································································i摘要······································································iiiAbstract·································································v1緒論······························

2、·····································11.1研究背景及意義···················································11.2研究現(xiàn)狀··························································21.3本文主要工作及全文組織結(jié)構(gòu)······································42壓縮感知基本理論··································

3、···················52.1信號(hào)的稀疏表示···················································52.2測(cè)量矩陣的設(shè)計(jì)···················································62.3信號(hào)的重構(gòu)算法···················································72.4本章小結(jié)···················································

4、·······83基于先驗(yàn)信息下的l1?l1和l1?l2范數(shù)極小化問(wèn)題研究···················93.1基于先驗(yàn)信息的l1?l1極小化重構(gòu)理論······························93.2基于先驗(yàn)信息的l1?l2極小化重構(gòu)理論······························103.3數(shù)值實(shí)驗(yàn)··························································113.4本章小結(jié)··························

5、································124PI-IRLS算法對(duì)稀疏信號(hào)的重構(gòu)問(wèn)題研究······························154.1基于先驗(yàn)信息下的無(wú)約束lq范數(shù)極小化重構(gòu)理論·····················154.2PI-IRLS算法和基本定義···········································164.3PI-IRLS算法的理論分析···········································174.4數(shù)

6、值實(shí)驗(yàn)··························································264.5本章小結(jié)··························································29ii西南大學(xué)碩士學(xué)位論文5總結(jié)與展望····························································315.1本文工作的總結(jié)············································

7、·······315.2未來(lái)工作的展望···················································31參考文獻(xiàn)·································································33致謝······································································39已完成文章目錄········································

8、···················41目錄摘要基于先驗(yàn)信息的稀疏信號(hào)重構(gòu)理論與算法研究統(tǒng)計(jì)學(xué)專業(yè)碩士研究生馮念慈指導(dǎo)教師王建軍教授摘要隨著信息時(shí)代的到來(lái),數(shù)據(jù)正逐漸應(yīng)用到許多領(lǐng)域中.面對(duì)每天成倍增加的數(shù)據(jù),如何對(duì)它進(jìn)行存儲(chǔ)、采集和運(yùn)輸,一直都是學(xué)術(shù)界關(guān)注的熱點(diǎn).作為一種能有效處理高維數(shù)據(jù)的新穎理論,

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