Noise Behavior of Cartesian PatLoc Reconstruction

Gerrit Schultz¹, Maxim Zaitsev¹, Peter Ullmann², Heinrich Lehr², Jrgen Hennig¹

This contribution deals with an important aspect of imaging: Noise. In particular noise in PatLoc imaging. This imaging modality is a new concept, where the gradients are replaced by coils, which generate nonlinear, non-bijective encoding fields. Non-bijective encoding leads to ambiguities in the resulting images, which can be resolved by means of parallel imaging reconstruction methods. A common feature of such methods is that the SNR varies from point to point. An explicit mathematical expression of SNR is derived for a reconstruction algorithm, which is applicable to Cartesian sampling patterns. The theoretical predictions are then validated by comparing them to simulation results.