Extended Anti-Aliasing Reconstruction for Phase-Scrambled MRI with Quadratic Phase Modulation

Maxim Zaitsev¹, Gerrit Schultz¹, Jrgen Hennig¹

As shown recently, phase-scrambled MRI is capable of a scalable anti-aliasing image reconstruction. The purpose of the present work is to extend the concept via a transparent mathematical framework capable of handling scalable alias-suppressing image reconstruction of the phase-modulated data. Our results show that translation of the Fresnel transform concept to k-space representation allows to define limits and boundary conditions for practical implementations and to understand signal behaviour and potential artefacts.