FPGA Implementation of Adaptive Weight Calculation Using QRD - RLS Algorithm
Journal Title: International Journal for Research in Applied Science and Engineering Technology (IJRASET) - Year 2015, Vol 3, Issue 2
Abstract
Adaptive weight calculation (AWC) is required in many communication applications including adaptive beamforming, equalization, predistortion and multiple-input multiple-output (MIMO) systems. These applications involve solving over-determined systems of equations in many cases. In general, the least squares approach, e.g. Least Mean Squares (LMS), Normalized LMS (NLMS) and Recursive Least Squares (RLS), is used to find an approximate solution to these kinds of system of equations. Among them, RLS is most commonly used due to its good numerical properties and fast convergence rate. Applying QR decomposition (QRD) to perform adaptive weight calculation based on RLS avoids this problem and leads to more accurate results and efficient architectures. QR decomposition is a method for solving a set of simultaneous equations, for unknown weights, which define the beam shape. The QR decomposition technique for adaptive weight calculation is particularly suited to implementation in FPGA and FPGA cores are now available that reduce the system development time.
Authors and Affiliations
H. Rashmi Evangelin, Ms. A. S. Narmadaa
Keywords
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