Sub-Sampling Parallel MRI with Unipolar Matrix Decoding

Doron Kwiat¹

A method is proposed of parallel array scan, where signals from coils are combined by a summing multiplexer and decoded by unipolar matrix inversion is suggested, which reduces acquisition channels to a single pre-amp and A/D. The results would be, an independent individual separated signals as if acquired through multiple acquisition channels, and yet at a total acquisition time similar to acquisition time of multiple channels, Background In a standard parallel array technology, N coils simultaneously cover N FOVs by reading N k-space lines simultaneously over N independent data sampling channels. These k-space lines are phase weighted to maximize SNR and then FT converted to N independent images with an increased SNR[1]. In current accelerated PI techniques, some of K-space lines are skipped physically, and are replaced by virtual k-space substitutes using preumed spatial sensitivities of the coils in the PE direction [2-5]. Based on the method described recently [6,7] a new scanning procedure is described here. The Method 1.Have all coils be connected through a single summing multiplexer unit (MUX) which allows, at our discretion, selecting N-1 coils to be actively connected while a single coil is deactivated electronically, to a single summing common output (SCO). Let the summed signal from these N-1 coils be sampled by the single acquisition channel (ACQ) having a single pre-amp and single A/D. 2.Scan 1/Nth of the total k-space lines while having N-1 coils actively connected to the ACQ by the MUX unit. Repeat the above scan procedure over another 1/Nth part of k-space, this time with another set of N-1 coils actively connected, and 1 coil deactivated. Keep these scan procedures N times, until all k-space lines were acquired over all N possible permutations of selections of N-1 coils out of N. 3. There are now exactly N summed acquisitions at our hands. Using an inverse of a unipolar matrix, these can be now decoded back to the original individual k-space lines