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Spread Spectrum Using Chirp Modulated RF Pulses for Incoherent Sampling Compressive Sensing MRI

Sulaiman A. AL Hasani 1, Gary F. Egan 2, and Jingxin Zhang 3,4
1. Department of ECSE, Monash University, Melbourne, Australia
2. Monash Biomedical Imaging, Monash University, Melbourne, Australia
3. School of Software and Electrical Engineering, Swinburne University of Technology, Melbourne, Australia
4. Department of ECSE, Monash University, Melbourne, Australia
Abstract—Compressed Sensing Magnetic Resonance Imaging (CS-MRI) has proven to be one of the most promising techniques to reduce the magnetic resonance (MR) data acquisition time. The performance of compressive sensing is highly depending on the level of incoherence between the sparsity transform matrix and the sensing matrix. In conventional MRI, Fourier matrix as a sensing matrix and Wavelet matrix as a sparsifying transform matrix are not optimally incoherent. Moreover, Fourier encoding weakly spreads out the energy and concentrate energy in the center of the “k-space” in a region known as low frequencies region. This imposes restriction on the under-sampling pattern to fully sample the low spatial frequencies and insufficiently sample the high frequencies at high acceleration factors. Such restriction can cause a huge loss in image resolution. This paper investigates the implementation of spread spectrum RF pulses to increase the incoherence and insure the spread of energy. The spread spectrum compressive sensing is achieved experimentally using tailored spatially selective RF pulses and random under-sampling along the phase encodes. Simulation and experimental results suggest that the proposed technique outperforms the conventional Fourier encoding in the framework of CS-MRI and in preserving the image quality at higher acceleration factors.
 
Index Terms—compressive sensing, magnetic resonance imaging, non-fourier encoding, spread spectrum

Cite: Sulaiman A. AL Hasani, Gary F. Egan, and Jingxin Zhang, "Spread Spectrum Using Chirp Modulated RF Pulses for Incoherent Sampling Compressive Sensing MRI," International Journal of Signal Processing Systems, Vol. 4, No. 1, pp. 1-5, February 2016. doi: 10.12720/ijsps.4.1.1-5
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