858 research outputs found
Scale-free Protocol Design for Output Synchronization of Heterogeneous Multi-agent subject to Unknown, Non-uniform and Arbitrarily Large Input Delays
This paper studies output synchronization problems for heterogeneous networks
of continuous- or discrete-time right-invertible linear agents in presence of
unknown, non-uniform and arbitrarily large input delay based on localized
information exchange. It is assumed that all the agents are introspective,
meaning that they have access to their own local measurements. Universal linear
protocols are proposed for each agent to achieve output synchronizations.
Proposed protocols are designed solely based on the agent models using no
information about communication graph and the number of agents or other agent
models information. Moreover, the protocols can tolerate arbitrarily large
input delays.Comment: 9 pages, 3 figures, short version of this paper will be presented at
Chinese Control Conference 2020. arXiv admin note: text overlap with
arXiv:2002.06577, arXiv:2001.02117, arXiv:1908.06535, arXiv:2004.0949
From Theory to Practice: Sub-Nyquist Sampling of Sparse Wideband Analog Signals
Conventional sub-Nyquist sampling methods for analog signals exploit prior
information about the spectral support. In this paper, we consider the
challenging problem of blind sub-Nyquist sampling of multiband signals, whose
unknown frequency support occupies only a small portion of a wide spectrum. Our
primary design goals are efficient hardware implementation and low
computational load on the supporting digital processing. We propose a system,
named the modulated wideband converter, which first multiplies the analog
signal by a bank of periodic waveforms. The product is then lowpass filtered
and sampled uniformly at a low rate, which is orders of magnitude smaller than
Nyquist. Perfect recovery from the proposed samples is achieved under certain
necessary and sufficient conditions. We also develop a digital architecture,
which allows either reconstruction of the analog input, or processing of any
band of interest at a low rate, that is, without interpolating to the high
Nyquist rate. Numerical simulations demonstrate many engineering aspects:
robustness to noise and mismodeling, potential hardware simplifications,
realtime performance for signals with time-varying support and stability to
quantization effects. We compare our system with two previous approaches:
periodic nonuniform sampling, which is bandwidth limited by existing hardware
devices, and the random demodulator, which is restricted to discrete multitone
signals and has a high computational load. In the broader context of Nyquist
sampling, our scheme has the potential to break through the bandwidth barrier
of state-of-the-art analog conversion technologies such as interleaved
converters.Comment: 17 pages, 12 figures, to appear in IEEE Journal of Selected Topics in
Signal Processing, the special issue on Compressed Sensin
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