Mathematical models for classD amplifiersTools Hall, Fenella T.H. (2011) Mathematical models for classD amplifiers. PhD thesis, University of Nottingham.
AbstractWe here analyse a number of classD amplifier topologies. ClassD amplifiers operate by converting an audio input signal into a highfrequency square wave output, whose lowerfrequency components can accurately reproduce the input. Their high power efficiency and potential for low distortion makes them suitable for use in a wide variety of electronic devices. By calculating the outputs from a classical classD design implementing different sampling schemes we demonstrate that a more recent method, called the Fourier transform/Poisson resummation method, has many advantages over the double Fourier series method, which is the traditional technique employed for this analysis. We thereby show that when natural sampling is used the input signal is reproduced exactly in the lowfrequency part of the output, with no distortion. Although this is a known result, our calculations present the method and notation that we later develop.
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