We conduct an exploration study of various bit precisions for Cholesky decomposition. This research focuses on obtaining the minimum required signal to noise ratio (SNR) in Cholesky decomposition by reducing the internal precision of the computation.
Primary goal of this research is to minimize resources and reduce power by performing calculations at a lower internal precision than the full 32-bit fixed or floating point. Cholesky decomposition is a key component in minimum mean square error (MMSE) multiple-input multiple-output (MIMO) receiver systems. It is used to calculate inverse of a matrix in many modern wireless systems. Cholesky decomposition is a very computation heavy process. We have investigated the effects of internal bit precisions in Cholesky decomposition.
This is an exploration study to provide a benchmark for system designers to help decide on the internal precision of their system given SNR line, signal and noise variances, required output SNR and symbol error rate.
Source: University of Maryland
Author: Ikram, Muhammad Umer