An Approximate Closed-Form Expression for Calculating Performance of Floating-Point Format for the Laplacian Source

Perić, Zoran; Denić, Bojan; Dinčić, Milan; Perić, Sofija

doi:10.15388/25-INFOR587

Informatica

An Approximate Closed-Form Expression for Calculating Performance of Floating-Point Format for the Laplacian Source

Volume 36, Issue 1 (2025), pp. 125–140

Zoran Perić Bojan Denić Milan Dinčić Sofija Perić

https://doi.org/10.15388/25-INFOR587

Pub. online: 18 March 2025 Type: Research Article

Open Access

Received
1 October 2024

Accepted
1 March 2025

Published
18 March 2025

Abstract

This paper introduces a novel approach that bridges the floating-point (FP) format, widely utilized in diverse fields for data representation, with the μ-law companding quantizer, proposing a method for designing and linearizing the μ-law companding quantizer to yield a piecewise uniform quantizer tailored to the FP format. A key outcome of the paper is a closed-form approximate expression for closely and efficiently evaluating the FP format’s performance for data with the Laplacian distribution. This expression offers generality across various bit rates and data variances, markedly reducing the computational complexity of FP performance evaluation compared to prior methods reliant on summation of a large number of terms. By facilitating the evaluation of FP format performance, this research substantially aids in the selection of the optimal bit rates, crucial for digital representation quality, dynamic range, computational overhead, and energy efficiency. The numerical calculations spanning a wide range of data variances provided for some commonly used FP versions with an 8-bit exponent have demonstrated that the proposed closed-form expression closely approximates FP format performance.

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Biographies

Perić Zoran

zoran.peric@elfak.ni.ac.rs

Z. Perić was born in Niš, Serbia, in 1964. He received the BS, MS and PhD degrees from the Faculty of Electronic Engineering, University of Niš, Serbia, in 1989, 1994 and 1999, respectively. He is a full-time professor at Department of Telecommunications, Faculty of Electronic Engineering, University of Niš. His current research interests include the information theory and signal processing. He is an author and co-author of over 350 papers. Dr. Peric has been a reviewer of a number of journals, including IEEE Transactions on Information Theory, IEEE Transactions on Signal Processing, IEEE Transactions on Communications, Compel, Informatica, Information Technology and Control, Expert Systems with Applications and Digital Signal Processing.

Denić Bojan

bojan.denic@elfak.ni.ac.rs

B. Denić received his PhD degree in the field of Telecommunications in 2023 from the Faculty of Electronic Engineering, University of Niš, Serbia. Currently, he is working as a research associate at the same faculty. His main research interests include signal processing, quantization and machine learning. He is an author of 34 scientific papers (18 of them in peer-reviewed international journals).

Dinčić Milan

milan.dincic@elfak.ni.ac.rs

M. Dinčić received MSc in 2007, PhD in the field of Telecommunication in 2012 and PhD in the field of Measurements in 2017 from the University of Niš. Currently, he is working as an associate professor at the Faculty of Electronic Engineering. He is an author of 64 scientific papers (35 of them in reputable international journals with IF from the SCI/SCIe list). His research is related to quantization and compression of neural networks, sensors and measurement systems.

Perić Sofija

sofija.peric@elfak.ni.ac.rs

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Open access article under the CC BY license.

Keywords

floating-point format piecewise uniform quantization μ-law companding quantization Laplacian source

Funding

This work was supported by the Ministry of Science, Technological Development and Innovation of the Republic of Serbia [grant number 451-03-65/2024-03/200102], as well as by the European Union’s Horizon 2023 research and innovation programme through the AIDA4Edge Twinning project (grant ID 101160293).

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