Tomaso Erseghe

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The alternating direction multipliers method (ADMM) has been recently proposed as a practical and efficient algorithm for distributed computing. We discuss its applicability to the average consensus problem in this paper. By carefully relaxing ADMM augmentation coefficients we are able to analytically investigate its properties, and to propose simple and(More)
The multiplicity of the fractional Fourier transform (FRT), which is intrinsic in any fractional operator, has been claimed by several authors, but never systematically developed. The paper starts with a general FRT definition, based on eigenfunctions and eigenvalues of the ordinary Fourier transform, which allows us to generate all possible definitions.(More)
Automated estimation of topology in smart micro grids (SMGs) has been advocated for the optimization of locally generated power. Moreover, when a power line communication (PLC) network is overlaid to the SMG, topology reconstruction is useful also for routing. In this paper, we propose a technique that allows estimating the SMG topology by exploiting PLC(More)
This paper presents a closed-form spectral evaluation of the family of digital pulse interval modulation (DPIM) schemes, where the information is contained in the relative distance between successive pulses. The framework for spectral evaluation is that of Stationary Symbol Sequences derived from Variable-Length Word Sequences, which considers the issue of(More)
The paper investigates the possibility for giving a general definition of the fractional Fourier transform (FRT) for all signal classes [one-dimensional (1-D) and multidimensional, continuous and discrete, periodic and aperiodic]. Since the definition is based on the eigenfunctions of the ordinary Fourier transform (FT), the preliminary conditions is that(More)