Analysis and synthesis of speech using least Pth norm filter design

Abstract

In this paper we analyze the combination of speech and FIR filter design aspect to achieve good results in speech quality. A new approach in the time domain based on the least P th norm is presented to extract maximum information that represents speech. The aim of this paper is to improve the perceived quality of speech through the introduction of least P th norm algorithm that attenuates speech contaminated with noise. This approach relates to a filter bank structure and a method for filtering and separating an information signal into different bands, particularly for filtering and separation of speech signals. Then the desired signal is reconstructed from the independent components representing every band. This approach differs from the traditional approaches since no priori knowledge of the noise statistics is required, instead the noise signals are only assumed to have finite energy. Since the estimation criterion for the filter design is to minimize the worst possible amplification of the estimation error signal in terms of modeling errors and additive noise, this approach is highly robust and appropriate in practical speech analysis and synthesis. This paper presents a least P th approach to the optimal design of FIR digital filter banks in the minimax sense for speech analysis and synthesis. The signal to noise ratio (SNR) of around 50-60 dB is achieved with various speech samples.

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“…In proposed work, least Pth-Norm IIR filter has been implemented for back EMF extraction. 38,39,44 During the filtering, it is assured that there should be least phase delay between the precise commutation point (terminal voltage ZCP) and ZCP of filtered back EMF. Discrete transfer function of proposed least Pth-Norm IIR filter the with numerator of first order and denominator of second order can be given as,…”

“…IIR filters can provide similar magnitude response with fewer coefficients. In proposed work, least P th‐Norm IIR filter has been implemented for back EMF extraction 38,39,44 . During the filtering, it is assured that there should be least phase delay between the precise commutation point (terminal voltage ZCP) and ZCP of filtered back EMF.…”

“…Various soft (digital) filters have been in practice for low pass filtering of high frequency or noisy signals for original signal reconstruction. Least Pth-Norm filter 38,39 is simple and cost-effective digital low pass filter and involves accurate computation inside controller. This is best alternative to replace bulky analog filters and reduces space and component requirement.…”