© The Institution of Engineering and Technology
A new compressive sensing (CS) scheme using the structured random matrix and the discrete periodic Radon transform (DPRT) is proposed. The new scheme first pre-randomises the sensing image and the DPRT is applied to the randomised samples to generate the so-called DPRT projections. They are then randomly selected to obtain the final sensing measurements. As the DPRT is friendly to hardware/optics implementation, it improves the operability and lowers the cost for real-time CS applications. Compared with other similar transforms such as the Walsh–Hadamard transform, the proposed DPRT scheme gives much better reconstructed images as shown in the simulation results.
References
-
-
1)
-
R.G. Baraniuk
.
Compressive sensing [lecture notes].
IEEE Signal Process. Mag.
,
4 ,
118 -
121
-
2)
-
E.J. Candes ,
T. Tao
.
Near-optimal signal recovery from random projections: universal encoding strategies?.
IEEE Trans. Inf. Theory
,
12 ,
5406 -
5425
-
3)
-
E.J. Candès ,
M.B. Wakin
.
An introduction to compressive sampling.
IEEE Signal Process. Mag.
,
2 ,
21 -
30
-
4)
-
D. Donoho
.
Compressed sensing.
IEEE Trans. Inf. Theory
,
2 ,
1289 -
1306
-
5)
-
F. Matus ,
J. Flusser
.
Image representation via a finite Radon transform.
IEEE Trans. Pattern Anal. Mach. Intell.
,
10 ,
996 -
1006
-
6)
-
9. Huang, J., Zhang, S., Metaxas, D.: ‘Efficient MR image reconstruction for compressed MR imaging’, Med. Image Anal., 2011, 15, (5), pp. 670–679 (doi: 10.1016/j.media.2011.06.001).
-
7)
-
6. Do, T.T., Gan, L., Nguyen, N.H., Tran, T.D.: ‘Fast and efficient compressive sensing using structurally random matrices’, IEEE Trans. Signal Process., 2012, 60, (1), pp. 139–154 (doi: 10.1109/TSP.2011.2170977).
-
8)
-
33. Hsung, T., Lun, D., Siu, W.-C.: ‘The discrete periodic Radon transform’, IEEE Trans. Signal Process., 1996, 44, (10), pp. 2651–2657 (doi: 10.1109/78.539055).
-
9)
-
E. Candès ,
J. Romberg ,
T. Tao
.
Near-optimal signal recovery from random projections: universal encoding strategies?.
IEEE Trans. Inf. Theory
,
2 ,
489 -
509
-
10)
-
34. Lun, D., Hsung, T., Shen, T.: ‘Orthogonal discrete periodic Radon transform. Part I: theory and realization’, Signal Process., 2003, 83, (5), pp. 941–955 (doi: 10.1016/S0165-1684(02)00498-X).
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