Sonar imaging of structured sparse scene using template compressed sensing

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1 Sonar imaging of structured sparse scene using template compressed sensing Huichen Yan, Xudong Zhang, Shibao Peng Tsinghua University, Beijing, China Jia Xu Beijing Institute of Technology, Beijing, China 1

2 Outline Background Proposed Method Conclusion 2

3 Outline Background Proposed Method Conclusion 3

4 Background 4

5 Background The efficiency of radar is 2,500,000 higher than sonar To image a target of size 100m in 600m distance, and gain a resolution in along-track direction of 1m, a 2 the imaging time is 80s. 5

6 Background 6 Random Motion Because no GPS under sea, inertial navigation is used; For instance, the wavelength of a 200kHz sound is 75mm, motion compensation is of mm. 6

7 Background Media is time-variant and place-variant 7 Multipath and refraction happens. It is not a problem since the random motion is not well compensated.[m. P. Hayes and P. T. Gough, 2009] 7

8 Background 8 The noise is abundant Noise comes from the surrounding. Divided in to ambient noise 和 self noise. The former includes earthquake, traffic, tide, thermal noise, etc.; the latter includes mechanical, propeller noise, etc. 8

9 Background Scenario of monitoring submarines for a given area under sea. SPARSE! STRUCTURED SPARSE! 9

10 Background Propose a system to deal with two problem: The efficiency of imaging velocity of sound; The resolution of imaging random motion. 10

11 Outline Background Sonar imaging is different with radar in velocity and random motion; Sonar image is sparse and structured sparse in some applications. Proposed Method Conclusion 11

12 Outline Background Proposed Method Conclusion 12

13 Proposed Method Traditional model Range (Dim = N) PRI 1/Fs Azimuth (Dim = Na) Transmit Receive Platform trajectory N Samples 2 Na-1 Na PRI time

14 Proposed Method Tomography model Single Input, Multiple Output 14

15 Proposed Method y A x 1 1 n nn n

16 Proposed Method m transducers: y y y m Ax Ax A x m y1 A1 y 2 A 2 Y A= = ym Am Y A x 16

17 Proposed Method Y A x 17

18 Proposed Method min vecw X 1 st.. Y A x W matrix 18

19 Proposed Method Method: Sonar sound Aim: To cope with the random motion & slow speed of sound Advantage: Imaging time is largely shorten; Disadvantage: Increase the number of sensors; Application: Monitoring of the sea. 19

20 Proposed Method 100*100Scene: Range Direction (m) Azimuth Direction (m) Range Direction (m) Azimuth Direction (m) 20 Range Direction (m) Range Direction (m) Azimuth Direction (m) Azimuth Direction (m) Tomography method CS method template CS method

21 Outline Background Proposed Method Conclusion 21

22 Conclusion CS is very suitable for sonar imaging. We proposed a method to cope with the low velocity of sound and random motion. We took advantage of each echo, and exploited the structured sparse of the scene, and obtained better results. 22

23 References M. P. Hayes and P. T. Gough, Synthetic aperture sonar: a review of current status, IEEE Journal of Oceanic Engineering, vol. 34, pp , July Y. Doisy, General motion estimation from correlation sonar, IEEE Journal of Oceanic Engineering, vol. 23, pp , April D. L. Donoho, Compressed sensing, IEEE Transactions on Information Theory, vol. 52, pp , April R. Baraniuk and P. Steeghs, Compressive radar imaging, Radar Conf., Boston, USA, 2007, pp A. M. Tello, P. López-Dekker and J. J. Mallorqui, A novel strategy for radar imaging based on compressive sensing, IEEE Transactions on Geoscience and Remote Sensing, vol. 48, pp , December L. C. Potter, E. Ertin, J. T. Parker and M. Cetin, Sparsity and compressed sensing in radar imaging, Proceedings of the IEEE, vol. 98, pp , June

24 Thank You! Sonar imaging of structured sparse scene using template compressed sensing Q&A 24

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