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本文提出了基于Walsh-Hadamard变换的单像素成像方案, 并从理论分析、模拟仿真和实验验证三方面分别验证了该方案的可行性. 实验上实现了350-900 nm波段对 距离500 m和5000 m自然目标的128128 像素成像, 成像速度0.5帧/秒. 研究并讨论了单像素相机方案与计算量子成像方案的差异与共性, 在此基础上分析了基于Walsh-Hadamard变换的单像素成像方案的优势与局限性. 研究表明本方案同时适用于单像素相机和计算量子成像. 由于单像素成像适用于应用在如红外热成像、微波成像等波段, 因此在阵列探测器灵敏度或工艺达不到要求时存在优势. 本文所提出的方案使得单像素成像技术向实际应用迈进了一步.
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关键词:
- Walsh-Hadamard变换 /
- 单像素相机 /
- 计算量子成像
[1] Pittman T B, Shih Y H, Strekalov D V, Sergienko A V 1995 Phys. Rev. A 52 83429
[2] Strekalov D V, Sergienko A V, Klyshko D N, Shih Y H 1995 Phys. Rev. Lett. 74 3600
[3] Abouraddy A F, Saleh B E A, Sergienko A V, Teich M C 2001 Phys. Rev. Lett. 87 123602
[4] Bennink R S, Benley S J, Boyd R W 2002 Phys. Rev. Lett. 89 113601
[5] Chan K W C 2012 Opt. Lett. 37 2739
[6] Shapiro J H 2008 Phys. Rev. A 76 061802
[7] Duarte M, Davenport M, Takhar D, Laska J, Sun T, Kelly K, Baraniuk R 2008 IEEE Signal Process. Mag. 25 83
[8] Gatti A, Brambilla E, Bache M, Lugiato L A 2004 Phys. Rev. Lett. 93 093602
[9] Donoho D 2006 IEEE Trans. Inform. Theory 52 1289
[10] Cheng J, Han S S 2004 Phys. Rev. Lett. 92 093903
[11] Gong W L, Han S S 2009 arXiv preprint arXiv:0911.4750
[12] Yao X R, Li L Z, Liu X F, Yu W K, Zhai G J 2015 Chin. Phys. B 24 044203
[13] Bai Y F, Yang W X, Yu X Q 2012 Chin. Phys. B 21 044206
[14] Cands E J 2006 in Proc. Int. Cong. Math., European Mathematical Society, Madrid, Spain 3 1433
[15] Romberg J 2008 IEEE Signal Process. Mag. 25 14
[16] Beer T 1981 Am. J. Phys. 49 Issue 5
[17] Li Q, Zhou M L, Shi B C, Wang N C 1998 Chin. Sci. Bull. 43 627
[18] Xing S H, Yang Y D, Wang X H 2015 Navigtion and Control 14 97 (in Chinese) [邢世宏, 杨晓东, 王小海 2015 导航与控制 14 97]
[19] Welsh S S, Edgar M P, Bowman R, Jonathan P, Sun B Q, Padgett M J 2013 Opt. Express 21 23068
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[1] Pittman T B, Shih Y H, Strekalov D V, Sergienko A V 1995 Phys. Rev. A 52 83429
[2] Strekalov D V, Sergienko A V, Klyshko D N, Shih Y H 1995 Phys. Rev. Lett. 74 3600
[3] Abouraddy A F, Saleh B E A, Sergienko A V, Teich M C 2001 Phys. Rev. Lett. 87 123602
[4] Bennink R S, Benley S J, Boyd R W 2002 Phys. Rev. Lett. 89 113601
[5] Chan K W C 2012 Opt. Lett. 37 2739
[6] Shapiro J H 2008 Phys. Rev. A 76 061802
[7] Duarte M, Davenport M, Takhar D, Laska J, Sun T, Kelly K, Baraniuk R 2008 IEEE Signal Process. Mag. 25 83
[8] Gatti A, Brambilla E, Bache M, Lugiato L A 2004 Phys. Rev. Lett. 93 093602
[9] Donoho D 2006 IEEE Trans. Inform. Theory 52 1289
[10] Cheng J, Han S S 2004 Phys. Rev. Lett. 92 093903
[11] Gong W L, Han S S 2009 arXiv preprint arXiv:0911.4750
[12] Yao X R, Li L Z, Liu X F, Yu W K, Zhai G J 2015 Chin. Phys. B 24 044203
[13] Bai Y F, Yang W X, Yu X Q 2012 Chin. Phys. B 21 044206
[14] Cands E J 2006 in Proc. Int. Cong. Math., European Mathematical Society, Madrid, Spain 3 1433
[15] Romberg J 2008 IEEE Signal Process. Mag. 25 14
[16] Beer T 1981 Am. J. Phys. 49 Issue 5
[17] Li Q, Zhou M L, Shi B C, Wang N C 1998 Chin. Sci. Bull. 43 627
[18] Xing S H, Yang Y D, Wang X H 2015 Navigtion and Control 14 97 (in Chinese) [邢世宏, 杨晓东, 王小海 2015 导航与控制 14 97]
[19] Welsh S S, Edgar M P, Bowman R, Jonathan P, Sun B Q, Padgett M J 2013 Opt. Express 21 23068
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