## An Introduction to Wavelet Modulated InvertersThe introductory chapter briefly presents the fundamental topologies and operation of power inverters. The second chapter contains a description of wavelet basis functions and sampling theory with particular reference to the switching model of inverters. Chapter three outlines the connection between the non-uniform sampling theorem and wavelet functions to develop an ideal sampling-reconstruction process to operate an inverter for obtaining its optimal performances. The scale based linearly combined basis functions are developed in chapter four in order to successfully operate single phase wavelet modulated inverters. Chapter four also contains the development of the non-dyadic type multiresolution analysis, that are responsible for sampling and recontruction of three continuous time reference modulating signals for three phase inverters. The performances of single phase wavelet modulated inverters for static, dynamic and non-linear loads are presented in chapter five, while chapter six contains the simulation and experimental performances of three phase wavelet modulated voltage source inverters for different loads at various operating conditions. This book presents the latest technology in the advancing power electronics field. |

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analysis basisfunctions canbe carrier signal combined scaling function constructed created CT signal defined dilation discrete signal equation Fourier series fundamental frequency fundamental frequency component Haar scaling function harmonic components Hbridge Hilbert space IEEE IEEE Trans IGBT inner products interpolating functions interval of support inverter output voltage linear linearly combined scaling linetoline linetoneutral load current modulated inverters modulating signal multilevel inverter multiresolution analysis multiswitching nonlinear load nonuniform recurrent samples nonuniform sampling ofthe orthonormal basis output line voltage Power Electronics reconstructed sinusoidal signal referencemodulating signal Riesz Riesz basis sample groups sampled signal sampling theorem samplingbased model samplingreconstruction scalebased linearly combined scaling and wavelet scalingfunction shift shown in Figure simulated singlephase sinusoidal sixpulse inverter spanned spaces spectra switching actions switching elements switching pulses synthesis scaling function threephase translations voltage and current wavelet basis functions wavelet function wavelet modulation technique WM inverter output ψ φ