Abstract
Currently, the most widely used Gaussian random observations in compressed sensing require that signals must be discrete, and the signal waveform must be known before observation, which greatly restricts the application of compressive sensing in speech. In response to this problem, this paper draws on the advantages of non-uniform sampling, constructs a non-uniform observation matrix, directly extracts the data from the signal waveform as observations, and gives a corresponding new method of reconstruction. The theoretical analysis and simulation results show that non-uniform observation can directly apply compressed sensing to analog speech signal processing, and the corresponding reconstruction method effectively enriches the means of compressive perception reconstruction.
Sponsored by National Natural Science Foundation (No. 61701535 and No. 61072125), Shaanxi Natural Science Foundation (No. 2017JQ6033).
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References
Guangming, S., Danhua, L., Dahua, G., et al.: Advances in theory and application of compressed sensing. Acta Electronica Sin. 37(5), 1070–1081 (2009)
Donoho, D.L.: Compressed sensing. IEEE Trans. Inf. Theory 52(4), 1289–1306 (2006)
Lu, X.: Research on MIMO Radar Imaging for Sparse Distributed Target. University of Science and Technology of China, pp. 87–88 (2017)
Jinchao, L., Zhaoxiang, D., Yanjun, J., et al.: Spectrum analysis and weak signal detection based on nonuniform sampling. J. Data Acquis. Process. 27(3), 320–326 (2012)
Qian Hui, Yu., Lun, Z.H.: Performance analysis of parameters sparse signal nonuniform sampling. Comput. Digit. Eng. 39(7), 24–26 (2011)
Kai, Yu., Yuanshi, L., Zhi, W., et al.: New method for acoustic signal collection based on compressed sampling. Chin. J. Sci. Instrum. 33(1), 105–112 (2012)
Wenbiao, T., Guosheng, R., Haibo, Z., et al.: Non-uniform information acquisition and reconstruction within compressed sensing framework. J. Jilin Univ. (Eng. Technol. Edn.) 44(4), 1209–1214 (2014)
Dongliang, G., Tiejun, Z., Xianhua, D.: Methods of signal frequency, amplitude and phase measurement based on non-uniform sampling. Syst. Eng. Electron. 34(4), 662–665 (2012)
Qing, L.: The Research of Compressed Sampling at Sensor Network Nodes. Tianjin University of Technology, pp. 15–17 (2014)
Zhou, J., Shi, Z., Hu, L., et al.: Radar target one dimensional high resolution imaging based on sparse and non-uniform samplings in frequency domain. Acta Electronica Sin. 40(5), 926–934 (2012)
Anming, W., Shu, W., Mingxin, C.: Study on spectrum of nonuniform sampling signals based on wavelet transform. J. Electron. Inf. Technol. 27(3), 427–430 (2005)
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Zhang, C., Min, G., Ma, H., Li, X. (2018). Application of Non-uniform Sampling in Compressed Sensing for Speech Signal. In: Huang, DS., Bevilacqua, V., Premaratne, P., Gupta, P. (eds) Intelligent Computing Theories and Application. ICIC 2018. Lecture Notes in Computer Science(), vol 10954. Springer, Cham. https://doi.org/10.1007/978-3-319-95930-6_38
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DOI: https://doi.org/10.1007/978-3-319-95930-6_38
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