Brief paper: Generation of amplitude constrained signals with a prescribed spectrum

Authors:
Claus Müller;Cristian R. Rojas;Graham C. Goodwin
Affiliations:
School of Electrical Engineering and Computer Science, The University of Newcastle, NSW 2308, Australia;ACCESS Linnaeus Center, Electrical Engineering, KTH-Royal Institute of Technology, S-100 44 Stockholm, Sweden;School of Electrical Engineering and Computer Science, The University of Newcastle, NSW 2308, Australia
Venue:
Automatica (Journal of IFAC)
Year:
2012

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Abstract

In this paper a real-time method for generating signals of constrained amplitude and a given (arbitrary) spectrum is presented. This technique is based on the concatenation of sinusoidal signals of suitably chosen frequencies in order to obtain a signal with the desired sample autocovariance sequence as the number of samples tends to infinity. The effectiveness of the method is demonstrated theoretically and via simulations.