The functional form representation of input-output relationship through Volterra series provides a structured mathematical platform for the study of nonlinear systems. It employs multi-dimensional kernels, which upon convolution with the applied excitation forces, express system response in the form of a power series. Frequency domain transforms of these multi-dimensional kernels provide higher...

An arbitrary optical waveform can be measured using the technique called the ‘petahertz optical oscilloscope’ in which an electron trajectory in the process of high harmonic generation is used as a fast temporal gate. In the petahertz optical oscilloscope, a signal laser pulse that needs to be measured is superposed on a fundamental laser pulse that generates high harmonic radiation. The additi...

We present a simple but e ective approach to pitch modi cation of speech based on a harmonic model. Building on our time-scaling algorithm [1], pitch modi cation applies to a harmonically coded glottal wave estimate derived via a simple inverse ltering technique [3]. The modi ed glottal wave subsequently serves as input to an LPC vocal tract lter and the pitch-scaled speech is generated. Shape ...

This paper presents a new method for robust voiced/unvoiced segment (V/UV) classification and accurate fundamental frequency ( ) estimation in a noisy environment. For this purpose, we introduce the degree of dominance and dominance spectrum that are defined by instantaneous frequency. The degree of dominance allows us to evaluate the magnitude of individual harmonic components of speech signal...

• A nonlinear system identification method using Harmonic Balance is developed. The proposed capable of accurately identifying non-smooth nonlinearity. performance demonstrated numerically and experimentally. can deal with the effects higher harmonics in input force outputs. effect model error measurement noise shown. Testing structures to characterise their internal forces challenging. Often a...

The paper develops an approach based on wavelet technique for the evaluation and estimation of harmonic contents of power system waveform. The proposed algorithm decomposes the signal waveforms into the uniform frequency sub-bands corresponding to the odd harmonic components of the signal. The proposed implementation of algorithm determines the frequency bands of harmonics which retain both the...

In this paper, we present a real-time equalizer to control a volume balance of harmonic and percussive components in music signals without a priori knowledge of scores or included instruments. The harmonic and percussive components of music signals have much different structures in the power spectrogram domain, the former is horizontal, while the latter is vertical. Exploiting the anisotropy, o...