A new technique for compression of data sets

TL;DR

This paper introduces a novel data compression technique using a flexible transform composed of polynomial sub-transforms, significantly enhancing accuracy, compression ratio, and computational efficiency.

Contribution

It presents a new transform method with adjustable parameters that improves all key performance indices of data compression.

Findings

Enhanced compression ratio and accuracy

Reduced computational work

Increased flexibility in data variation handling

Abstract

Data compression techniques are characterized by four key performance indices which are (i) associated accuracy, (ii) compression ratio, (iii) computational work, and (iv) degree of freedom. The method of data compression developed in this paper allows us to substantially improve all the four issues above. The proposed transform $F$ is presented in the form of a sum with $p-1$ terms, $F_1,..., F_{p-1}$, where each term is a particular sub-transform presented by a first degree polynomial. For $j=1,\ldots,p-1$, each sub-transform $F_{j}$ is determined from interpolation-like conditions. This device provides the transform flexibility to incorporate variation of observed data and leads to performance improvement. The transform $F$ has two degrees of freedom, the number of sub-transforms and associated compression ratio associated with each sub-transform $F_{j}$.