Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

A Modulated Wideband Converter Model Based On Linear Algebra and its Application to Fast Calibration

Version 1 : Received: 15 August 2022 / Approved: 16 August 2022 / Online: 16 August 2022 (15:51:32 CEST)

A peer-reviewed article of this Preprint also exists.

Burel, G.; Fiche, A.; Gautier, R. A Modulated Wideband Converter Model Based on Linear Algebra and Its Application to Fast Calibration. Sensors 2022, 22, 7381. Burel, G.; Fiche, A.; Gautier, R. A Modulated Wideband Converter Model Based on Linear Algebra and Its Application to Fast Calibration. Sensors 2022, 22, 7381.

Journal reference: Sensors 2022, 22, 7381
DOI: 10.3390/s22197381

Abstract

In the context of cognitive radio, smart city and Internet-of-Things, the need of advanced radio spectrum monitoring becomes crucial. However, surveillance of a wide frequency band without using extremely expensive high sampling rates devices is a challenging task. The recent development of compressed sampling approaches offers a promising solution to these problems. In this context, the Modulated Wideband Converter (MWC), a blind sub-Nyquist sampling system, is probably the most realistic approach and was successfully validated in real-world conditions. The MWC can be realized with existing analog components and there exist calibration methods which are able to integrate the imperfections of the mixers, filters and ADCs, hence allowing its use in real-world. The MWC underlying model is based on signal processing concepts such as filtering, modulation, Fourier series decomposition, oversampling and undersampling, spectrum aliasing, and so on, as well as in-flow data processing. In this paper we develop an MWC model which is entirely based on linear algebra, matrix theory and block processing. We show that this approach has many interests: straightforward translation of mathematical equations into simple and efficient software programming, suppression of some constraints of the initial model, and providing a basis for the development of an extremely fast system calibration method. With a typical MWC acquisition device we obtained a speed up of a factor greater than 20 of the calibration computation time, compared with a previous implementation.

Keywords

compressed sampling; hardware calibration; spectrum monitoring; linear algebra; matrix theory; modulated wideband converter

Subject

ENGINEERING, Electrical & Electronic Engineering

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