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In this paper, the classic Levy identification method is reviewed and reformulated using a complex representation. This new formulation is able to solve the well known bias of the classic method at low frequencies. The formulation is generic, addressing both integer order and fractional order transfer functions. A new algorithm based on a stacked matrix and… (More)
Fractional centred differences and derivatives definitions are proposed generalising to real orders the existing ones valid for even and odd positive integer orders. For each one, suitable integral formulations are obtained. The computations of the involved integrals lead to new generalisations of the Cauchy integral derivative. To compute this integral, a… (More)
The relation showing that the Gru¨nwald-Letnikov and generalised Cauchy derivatives are equal is presented. This establishes a bridge between two different formulations and simultaneously between the classic integer order derivatives and the fractional ones. Starting from the generalised Cauchy derivative formula, new relations are obtained, namely a… (More)
The time-varying microstructure of sleep EEG spindles may have clinical significance in dementia studies and can be quantified with a number of techniques. In this paper, real and simulated sleep spindles were regarded as AM/FM signals modeled by six parameters that define the instantaneous envelope (IE) and instantaneous frequency (IF) waveforms for a… (More)
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… (More)
The design of new sequence for high Processing Gain (PG) in DSSS systems with band limited noise channel and no aliasing, is shown. The PN-EB sequences present the same number of " zeroes " and " ones " , and zero mean. The number available is very large. All perform very good secondary peak level of autocorrelation.
– In this paper the modeling 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… (More)