2457
Benefits of arbitrary gradient waveform design for diffusion encoding
Kevin Moulin1,2,3, Mike Loecher1,2, Matthew J Middione1,2, and Daniel B Ennis1,2,3
1Department of Radiology, Stanford University, Stanford, CA, United States, 2Department of Radiology, Veterans Administration Health Care System, Palo Alto, CA, United States, 3Cardiovascular Institute, Stanford University, Stanford, CA, United States
ARB waveforms can precisely meet their design constraints defined in the numerical optimization while their conversion to TRAP waveforms lead to higher residual gradient moments. For symmetric design, ARB waveforms offer higher b-value than TRAP’s while better mitigating PNS.  
Figure 2: Asymmetric motion compensated (M1=M2=0) arbitrary (ARB) waveform optimally designed with GrOpt (blue) and the corresponding trapezoidal (TRAP) implementation before (red) and after (green) balancing. Temporal evolution of the zero (M0), first (M1) and second (M2) order gradient moments are represented for each waveform. ARB has the lowest residual moments, followed by balanced TRAP, then unbalanced TRAP.
Figure 4: Symmetric motion compensated trapezoidal (TRAP) waveforms (M1=M2=0) with SRlimit=50mT/m/s (blue) and SRmax=200mT/m/s (red) are compared to an arbitrary (ARB) cubic ramp-up waveform (green). For this scanner setup the best cubic ramp-up shape parameter was obtained for a=1.5x10-3. The temporal evolution of the b-value as well as the peripheral nerve stimulation (PNS) plots are represented for each waveform. As marked by the red dashed line, a PNS ≥1 indicates potential stimulation.