The patent badge is an abbreviated version of the USPTO patent document. The patent badge does contain a link to the full patent document.
The patent badge is an abbreviated version of the USPTO patent document. The patent badge covers the following: Patent number, Date patent was issued, Date patent was filed, Title of the patent, Applicant, Inventor, Assignee, Attorney firm, Primary examiner, Assistant examiner, CPCs, and Abstract. The patent badge does contain a link to the full patent document (in Adobe Acrobat format, aka pdf). To download or print any patent click here.
Patent No.:
Date of Patent:
Sep. 07, 1999
Filed:
Jan. 10, 1997
James Leroy Snell, Palm Bay, FL (US);
Harris Corporation, Palm Bay, FL (US);
Abstract
An interpolator includes: a first quadratic coefficient generator for generating a first coefficient set fitting a first quadratic equation to input samples y.sub.0, y.sub.1 and y.sub.2 at x.sub.-1, x.sub.0, and x.sub.1, respectively; a second quadratic coefficient generator for generating a second coefficient set fitting a second quadratic equation to input samples y.sub.1, y.sub.2 and y.sub.3 at x.sub.0, x.sub.1 and x.sub.2, respectively; a bi-quadratic coefficient generator for generating a bi-quadratic coefficient set based upon the first and second coefficient sets; and an output circuit for generating an interpolated value for between x.sub.0 and x.sub.1 based upon the bi-quadratic coefficient set. The bi-quadratic generator preferably generates the bi-quadratic coefficient set based upon an average of the first and second coefficient sets. Accordingly, the bi-quadratic coefficient set of b.sub.0, b.sub.1 and b.sub.2 is given by b.sub.0 =y.sub.1, b.sub.1 =(-y.sub.3 +5y.sub.2 -3y.sub.1 -y.sub.0)/4, and b.sub.2 =(y.sub.3 -y.sub.2 -y.sub.1 +y.sub.0)/4. The interpolated value y(.DELTA.x) is equal to b.sub.0 +.DELTA.x(b.sub.1 +.DELTA.xb.sub.2). Polynomial coefficient generators may be used for polynomial equations of orders higher than two as in the quadratic equations. In addition, method aspects of the invention are also disclosed.