光电工程, 2018, 45 (6): 170740, 网络出版: 2018-08-04   

分数傅里叶变换域稀疏带限信号的模拟信息转换

Analog to information conversion for sparse signals band-limited in fractional Fourier transform domain
作者单位
哈尔滨工业大学通信技术研究所,黑龙江 哈尔滨 150001
引用该论文

宋维斌, 张圣儒, 邓忆秋, 孙楠, 史军. 分数傅里叶变换域稀疏带限信号的模拟信息转换[J]. 光电工程, 2018, 45(6): 170740.

Song Weibin, Zhang Shengru, Deng Yiqiu, Sun Nan, Shi Jun. Analog to information conversion for sparse signals band-limited in fractional Fourier transform domain[J]. Opto-Electronic Engineering, 2018, 45(6): 170740.

参考文献

[1] Unser M. Sampling—50 years after Shannon[J]. Proceedings of the IEEE, 2000, 88(4): 569–587.

[2] Xia X G. On bandlimited signals with fractional Fourier transform[ J]. IEEE Signal Processing Letters, 1996, 3(3): 72–74.

[3] 石光明, 刘丹华, 高大化, 等. 压缩感知理论及其研究进展[J]. 电子学报, 2009, 37(5): 1070–1081.

    Shi G M, Liu D H, Gao D H, et al. Advances in theory and application of compressed sensing[J]. Acta Electronica Sinica, 2009, 37(5): 1070–1081.

[4] Donoho D L. Compressed sensing[J]. IEEE Transactions on Information Theory, 2006, 52(4): 1289–1306.

[5] Eldar Y C, Kutyniok G. Compressed Sensing: Theory and Applications[M]. Cambridge: Cambridge University Press, 2012.

[6] Kirolos S, Laska J, Wakin M, et al. Analog-to-information conversion via random demodulation[C]//Proceedings of 2006 IEEE Dallas/CAS Workshop on Design, Applications, Integration and Software, 2007: 71–74.

[7] Tropp J A, Laska J N, Duarte M F, et al. Beyond Nyquist: efficient sampling of sparse bandlimited signals[J]. IEEE Transactions on Information Theory, 2009, 56(1): 520–544.

[8] Mishali M, Eldar Y C. From theory to practice: sub-Nyquist sampling of sparse wideband analog signals[J]. IEEE Journal of Selected Topics in Signal Processing, 2010, 4(2): 375–391.

[9] Mishali M, Elron A, Eldar Y C. Sub-Nyquist processing with the modulated wideband converter[C]//Proceedings of 2010 IEEE International Conference on Acoustics Speech and Signal Processing, 2010: 3626–3629.

[10] 赵贻玖. 稀疏模拟信号压缩采样与重构算法研究[D]. 成都: 电子 科技大学, 2012.

    Zhao Y J. Study on compressive sampling and recovery algorithm of sparse analog signal[D]. Chengdu: University of Electronic Science and Technology of China, 2012.

[11] 姚婷婷. 基于MWC 的模拟信息转换技术研究[D]. 哈尔滨: 哈尔 滨工业大学, 2015.

    Yao T T. Research on analog to information conversion technology based on modulated wideband converter[D]. Harbin: Harbin Institute of Technology, 2015.

[12] 张弓, 方青, 陶宇, 等. 模拟信息转换器研究进展[J]. 系统工程 与电子技术, 2015, 37(2): 229–238.

    Zhang G, Fang Q, Tao Y, et al. Advances in analog- to-information convertor[J]. Systems Engineering and Electronics, 2015, 37(2): 229–238.

[13] 贺继渊, 田松, 王星, 等. 模拟信息转换处理高带宽稀疏信号的 噪声分析[J]. 光学精密工程, 2015, 23(10): 637–643.

    He J Y, Tian S, Wang X, et al. Noise analysis of high bandwidth sparse signals processed by AIC[J]. Editorial Office of Optics and Precision Engineering, 2015, 23(10): 637–643.

[14] Namias V. The fractional order Fourier transform and its application to quantum mechanics[J]. IMA Journal of Applied Mathematics, 1980, 25(3): 241–265.

[15] 沙学军, 史军, 张钦宇. 分数傅里叶变换原理及其在通信系统中 的应用[M]. 北京: 人民邮电出版社, 2013.

    Sha X J, Shi J, Zhang Q Y. Fractional Fourier Transform Theory and Its Applications in Communication Systems[M]. Beijing: Posts and Telecom Press, 2013.

[16] Shi J, Sha X J, Song X C, et al. Generalized convolution theorem associated with fractional Fourier transform[J]. Wireless Communications & Mobile Computing, 2015, 14(13): 1340–1351.

[17] Candès E J. The restricted isometry property and its implications for compressed sensing[J]. Comptes Rendus Mathematique, 2008, 346(9–10): 589–592.

[18] Baraniuk R G. A lecture on compressive sensing[J]. IEEE Signal Processing Magazine, 2007, 24(4): 118–121.

[19] Ramani S, Fessler J A. An accelerated iterative reweighted least squares algorithm for compressed sensing MRI[C]//Proceedings of 2010 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2010: 257–260.

[20] Tropp J, Gilbert A C. Signal recovery from random measurements via orthogonal matching pursuit[J]. IEEE Transactions on Information Theory, 2007, 53(12): 4655–4666.

[21] Wang J, Kwon S, Shim B. Generalized orthogonal matching pursuit[J]. IEEE Transactions on Signal Processing, 2012, 60(12): 6202–6216.

宋维斌, 张圣儒, 邓忆秋, 孙楠, 史军. 分数傅里叶变换域稀疏带限信号的模拟信息转换[J]. 光电工程, 2018, 45(6): 170740. Song Weibin, Zhang Shengru, Deng Yiqiu, Sun Nan, Shi Jun. Analog to information conversion for sparse signals band-limited in fractional Fourier transform domain[J]. Opto-Electronic Engineering, 2018, 45(6): 170740.

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