Fused Fibonacci-like (p,q) sequences with compression and barcoding applications

Sarkis Agaian; Jose Garcia; Salahodeen Abdul-Kafi; John T. Gill III

doi:10.1117/12.905353

15 February 2012 Fused Fibonacci-like (p,q) sequences with compression and barcoding applications

Sarkis Agaian, Jose Garcia, Salahodeen Abdul-Kafi, John T. Gill III

Proceedings Volume 8304, Multimedia on Mobile Devices 2012; and Multimedia Content Access: Algorithms and Systems VI; 83040E (2012) https://doi.org/10.1117/12.905353
Event: IS&T/SPIE Electronic Imaging, 2012, Burlingame, California, United States

Abstract

A double-base number system (DBNS) has recently been introduced and investigated [1] [2] [3]. This system has been shown to have some interesting and potentially far-reaching applications in digital filtering, encryption, digital electronics, and image enhancement. In this paper we present a new concept of generating parametric number representations by fusing systems such as DBNS using multiplication and addition operations. We introduce Fibonacci like (p,q)-sequences and determine their efficiency in representing data. We develop an algorithm to test the sparsity of fused number representation systems and explore the dual relationship between sparsity and memory. We also consider the applications of these representations in data compression and barcoding. Simulation results are presented to demonstrate the performance of the new class of systems. A comparison with commonly used doublebase number systems is also presented.

Citation Download Citation

Sarkis Agaian, Jose Garcia, Salahodeen Abdul-Kafi, and John T. Gill III "Fused Fibonacci-like (p,q) sequences with compression and barcoding applications", Proc. SPIE 8304, Multimedia on Mobile Devices 2012; and Multimedia Content Access: Algorithms and Systems VI, 83040E (15 February 2012); https://doi.org/10.1117/12.905353

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