This thesis develops recursion formulas for least-squares
data smoothing with regard to four classes of functions: linear,
quadratic, exponential and trigonometric, which in a linear fashion
involve 2, 3, 2 and 2 parameters respectively. The term recursion
implies here that the estimates for the parameters of the preceding
fit are...
In this dissertation, multi-rate array (MRA) architecture and its synthesis are proposed
and developed. Using multi-coordinate systems (MCS), a unified theory for mapping
algorithms from their original algorithmic specifications onto multi-rate arrays is
developed.
A multi-rate array is a grid of processors in which each interconnection may have its
own...
In this thesis, we study the Karatsuba-Ofman Algorithm (KOA), which is a recursive multi-precision multiplication method, and improve it for certain special applications. This thesis is in two parts. In the first part, we derive an efficient algorithm from the KOA to multiply the operands having a precision of 2[superscript...
