Matrix inversion complex on FPGA

Hello

I implement a simple code on SMU-7966R. I need a function that calculates the inversion of a complex matrix (fixed-point). I was wondering if there is an existing library that provides the service or I must apply myself.

Please can someone enlighten me?

Thank you.

I don't quite know librares for the execution of complex matrix inversion.

There are two ways I used for the development of own implenetations. Both methods involve the decomposition of the matrix A through rotation matricies.

(1) the QR decomposition through Givens rotations where is QR. This method breaks down the matrix in a unitary matrix Q and a upper triangular matrix R. The inverse of Q is simply its transposed to Hermetian because it is unitary. The inverse of R can be solved for by back substitution. Multiplying the inverse of Q and R gives the inverse of a.

(2) use the signular A value decompositon to get two unit matricies u and V and a diagonal matrix S of the signular components. Again, reversing the unitary matricies is simply the transposed to Hermetian. The inverse of the diagonal nmatrix is only taking the reciprocal of the diagonal elements. The SWINE vesicular disease can be performed using an algorithm called the cyclic Jacobi method. This method is slightly more complicated than the QR decomposition since it requires an additional rotation matrix, but it avoids the back problems through substition.

These two processes are iterative and converge to the exact solution as the number if iterations increases. While math can seem a little daunting at first, there is a lot of literature on these topics including different FPGA implementations. Just google 'FPGA QR Décomposition' or 'Method of FPGA Jacobi'.

Tags: NI Software

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