Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.22/4139
Título: Fractional-order impulse response of the respiratory system
Autor: Ionescu, Clara M.
Machado, J. A. Tenreiro
Keyser, Robin De
Palavras-chave: Respiratory mechanics
Fractional order
Frequency response
Impulse response
Fourier transform
Data: 2011
Editora: Elsevier
Relatório da Série N.º: Computers & Mathematics with Applications; Vol. 62, Issue 3
Resumo: This paper presents the measurement, frequency-response modeling and identification, and the corresponding impulse time response of the human respiratory impedance and admittance. The investigated adult patient groups were healthy, diagnosed with chronic obstructive pulmonary disease and kyphoscoliosis, respectively. The investigated children patient groups were healthy, diagnosed with asthma and cystic fibrosis, respectively. Fractional order (FO) models are identified on the measured impedance to quantify the respiratory mechanical properties. Two methods are presented for obtaining and simulating the time-domain impulse response from FO models of the respiratory admittance: (i) the classical pole-zero interpolation proposed by Oustaloup in the early 90s, and (ii) the inverse discrete Fourier Transform (DFT). The results of the identified FO models for the respiratory admittance are presented by means of their average values for each group of patients. Consequently, the impulse time response calculated from the frequency response of the averaged FO models is given by means of the two methods mentioned above. Our results indicate that both methods provide similar impulse response data. However, we suggest that the inverse DFT is a more suitable alternative to the high order transfer functions obtained using the classical Oustaloup filter. Additionally, a power law model is fitted on the impulse response data, emphasizing the intrinsic fractal dynamics of the respiratory system.
Peer review: yes
URI: http://hdl.handle.net/10400.22/4139
ISSN: 0898-1221
Versão do Editor: http://www.sciencedirect.com/science/article/pii/S0898122111003221
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