The time-varying microstructure of sleep EEG spindles may have clinical significance in dementia studies. In this work, the sleep spindle is modeled as an AM-FM signal and parameterized in terms of six parameters, three quantifying the instantaneous envelope (IE) and three quantifying the instantaneous frequency (IF) of the spindle model. The IE and IF waveforms of sleep spindles from patients with dementia and normal controls were estimated using the time-frequency technique of complex demodulation (CD). Sinusoidal curve-fitting using a matching pursuit (MP) approach was applied to the IE and IF waveforms for the estimation of the six model parameters. Specific differences were found in sleep spindle instantaneous frequency dynamics between spindles from dementia subjects and spindles from controls.

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Neste trabalho pretende-se estudar a variabilidade da frequência cardíaca através da implementação de vários métodos de análise de electrocardiogramas. Na primeira parte descrevem-se os métodos de análise espectral, bem como a representação tempo-frequência. A decomposição de sinais para detectar e isolar os batimentos cardíacos do electrocardiograma é implementada. Descrevem-se algoritmos de isolamento para detecção dos eventos interessantes e pontos fiduciais que os constituem. Na segunda parte estima-se a variação da frequência cardíaca e estabelece-se a sua relação com as variações temporais e espectrais das características encontradas pelos métodos implementados na primeira parte do trabalho.

The modelling of fractional linear systems through ARMA models is addressed. To perform this study, a new recursive algorithm for impulse response ARMA modelling is presented. This is a general algorithm that allows the recursive construction of ARMA models from the impulse response sequence. This algorithm does not need an exact order specification, as it gives some insights into the correct orders. It is applied to modelling fractional linear systems described by fractional powers of the backward difference and the bilinear transformations. The analysis of the results leads to propose suitable models for those systems.

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