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Smoothing and detection of respiratory signals using Chebyshev polynomials

This paper presents a new method for smoothing and detection of respiratory signals in noise. The output of the smoothing filter is obtained as a linear combination of some Chebyshev polynomials over a moving window of finite duration. Each coefficient of the Chebyshev polynomials is computed by the least squares method. The procedure is demonstrated using simulated time series and real neonatal respiratory signals measured in post-anaesthesia recovery rooms.