Multiplierless Implementation of Digital Colored Noise Generator

Abstract

Original scientific paperColored noise can be generated by filtering of the white noise. It is a simple task. However, it becomes challenging if high operating speed of the generator is required. The realization of digital filter generally requires one multiplication per coefficient. Therefore, a high operating speed is achieved only with the cost of several generalpurpose multipliers. In this paper, a multiplierless realization of the colored noise generator is proposed. It is based on the filtering of 1-bit random signal by a finite impulse response filter. The design of the generator is described and its implementation is considered. Furthermore, an application is described in which the proposed generator is used in mitigation of undesired effects caused by nonlinearities in an analog to digital converter.Key words: Noise generator, Colored noise, Dither generator, Analog to digital converter, ADC, Multiplierless implementation, Field programmable gate arrays, FPGA Implementacija digitalnog generatora obojenog šuma bez množila. Obojeni šum može se generirati filtriranjem bijelog šuma. To je jednostavan postupak. Meutim, on postaje izazovan ako se od generatora traži velika brzina rada. Realizacija digitalnog filtra u pravilu zahtijeva jedno množenje po koeficijentu. Zato se velika brzina rada može postići samo uz cijenu većeg broja množila opće namjene. U ovom radu predložena je realizacija generatora obojenog šuma koja ne sadrži množila. Ona se temelji se na filtraciji 1-bitnog slučajnog signala pomoću filtra s konačnim impulsnim odzivom. Opisano je projektiranje generatora te je razmotrena njegova implementacija. Nadalje, opisana je primjena u kojoj je predloženi generator iskorišten za smanjivanje utjecaja nelinearnosti u analogno digitalnom pretvorniku.Ključne riječi: generator šuma, obojani šum, generator podrhtavanja, analogno digitalni pretvornik, ADC, implementacija bez množila, programabilna logička polja, FPGA