The Savitzky–Golay (SG) filter design problem is posed as the minimum norm solution of an underdetermined equation system. A unified SG filter design framework encompassing several important applications such as smoothing, differentiation, integration and fractional delay is developed. In addition to the generality and flexibility of the framework, an efficient SG filter implementation structur...

Electrocardiogram (ECG) demonstrates the electrical activity of heart muscles over a period of time. The ECG is one of the extensively used physiological parameters for examination and diagnosis of cardiac diseases. The non-stationary ECG signal often gets contaminated with different noises. Hence, it is required to denoise the signal to provide accurate information to physicians. In this paper...

In this paper, a new filtering method is presented for simultaneous noise reduction and enhancement of signals using a fractal scalar conservation law which is simply the forward heat equation modified by a fractional anti-diffusive term of lower order. This kind of equation has been first introduced by physicists to describe morphodynamics of sand dunes. To evaluate the performance of this new...

Abstract: Biomedical signals are commonly recorded with many kinds of noise. One of these is a waveform of the electrical activity of muscles. This “natural” distortion is usually modelled with a white Gaussian noise. In order to suppress such noise a weighted myriad filter is applied. The weighted myriad filter belongs to a class of non-linear filters and requires knowledge about noise impulsi...

This paper introduces a method based on the near-infrared spectroscopy for rapid measurement of the biodiesel conversion rate during the transesterification of triolein with methanol. To build the regression model between the conversion rate and the spectral date, the real conversion rate of glycerides to methyl esters was analyzed by Proton Nuclear Magnetic Resonance (HNMR) spectroscopy, and s...

Spectral Subtraction based speech denoising suffers the major problem of introduction of new type of noise called musical noise. In this paper we introduce a two stage algorithm for denoising of noisy speech signal by minimizing the musical noise and additive white Gaussian noise. The algorithm works in two stages. First spectral subtraction method is applied on the noisy speech signal after ap...

Two-dimensional gas chromatography is a recent technology which is particularly efficient for detailed molecular analysis. However, due to the novelty of the method and the lack of automated analysis tools, quantitative data processing is often performed manually. Hence, results are strongly user-dependent, time consuming and, consequently, relatively inaccurate In this paper, we extend convent...

The effectiveness of Savitzky–Golay type symmetric polynomial smoothers is known to be strongly dependent on the window size. Many authors note that selection of the appropriate window size is essential for achieving the correct trade-off between noise reduction and avoiding the introduction of bias. However, it is often overlooked that, in the case of non-stationary signals, the optimal window...

Digital filtering technique is of great significance in real-time signal processing and analysis, but the stability, efficiency flexibility filter algorithm are important indicators to reflect its application value. In this paper, an adaptive derivative transformation based on Savitzky-Golay was proposed for laser absorption spectroscopy analysis. To demonstrate analysis algorithm, first-order ...