An implementation of numerical inversion of Laplace transforms on FPGA

This paper presents an implementation of numerical inversion of Laplace transforms on FPGAs. To make real-time transient analysis possible using Laplace transforms, it is desirable to implement the hardware of numerical inversion of Laplace transforms. However, the implementation of the FFT-based numerical inversion method with fixed-point numbers results in severely large errors due to the exponential function which appears in the inversion formula. In order to overcome this difficulty, we propose the use of a block floating-point FFT in the implementation. As a result, the errors are much reduced.