Optimizing FDTD memory bandwidth by using block float-point arithmetic

Abstract

© 2018 Kauno Technologijos Universitetas. All rights reserved. Finite-difference time-domain is a numerical method used for modelling of computational electrodynamics. The method is resource intensive, especially regarding memory usage. Multiple memory accesses are required per single computation so memory bandwidth acts as a bottleneck limiting the overall performance. Existing solutions use either fixed-point or floating-point arithmetic, depending on the complexity of the target platform, to model the data. Floating-point requires less memory access but the computation is more intensive due to the normalisation. Fixed-point is the opposite - simple computation but with more memory access for the same precision. The novelty of this paper is in the block floating-point realization which is the middle ground between the two. The approach is less compute intensive than the floating-point solutions while using less memory than the fixed-point realization. This makes the solution an alternative for bit-exact platforms, such as field-programmable gate arrays. The results are compared to both floating-point and fixed-point implementations and the memory bandwidth and other resources needed for targeted platform are calculated.