A Novel Vlsi System Of Linear Equations Solver For Real-Time Signal Processing

Kishan Jainandunsing; Ed F.A. Deprettere

doi:10.1117/12.976240

23 March 1986 A Novel VLSI System Of Linear Equations Solver For Real-Time Signal Processing

Kishan Jainandunsing, Ed F.A. Deprettere

Proceedings Volume 0698, Real-Time Signal Processing IX; (1986) https://doi.org/10.1117/12.976240
Event: 30th Annual Technical Symposium, 1986, San Diego, United States

Abstract

In this paper we present a novel approach towards the problem of solving sets of linear equations, as they appear in many digital signal processing problems. This approach avoids a back substitution step or an orthogonal transformation, after the factorization step, as is the case for the conventional direct methods of QR and LQ factorization. In fact, the novel algorithm enables one to calculate the solution x forwardly from the factorization of the matrix A, using orthogonal or J-orthogonal transformations. It can be combined with the (generalized) Schur algorithm, which does the Cholesky factorization of the matrix A efficiently in case A is positive definite, symmetric and Toeplitz or close to Toeplitz. In case A is a general (non singular) matrix, the complete equations solver appears to be an orthogonal equivalent of Faddeeva's and can be similarly generalized towards a larger class of matrix arithmetic.

Citation Download Citation

Kishan Jainandunsing and Ed F.A. Deprettere "A Novel VLSI System Of Linear Equations Solver For Real-Time Signal Processing", Proc. SPIE 0698, Real-Time Signal Processing IX, (23 March 1986); https://doi.org/10.1117/12.976240

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available