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A Constrained Random Demodulator for Sub-Nyquist Sampling
Abstract
This paper presents a significant modification to the Random Demodulator (RD) of Tropp et al. for sub-Nyquist sampling of frequency-sparse signals. The modification, termed constrained random demodulator, involves replacing the random waveform, essential to the operation of the RD, with a constrained random waveform that has limits on its switching rate because fast switching waveforms may be hard to generate cleanly. The result is a relaxation on the hardware requirements with a slight, but manageable, decrease in the recovery guarantees. The paper also establishes the importance of properly choosing the statistics of the constrained random waveform. If the power spectrum of the random waveform matches the distribution on the tones of the input signal (i.e., the distribution is proportional to the power spectrum), then recovery of the input signal tones is improved. The theoretical guarantees provided in the paper are validated through extensive numerical simulations and phase transition plots.
Harms, A., W. U. Bajwa, and R. Calderbank, "A Constrained Random Demodulator for Sub-Nyquist Sampling", IEEE Transactions on Signal Processing, 61, 707-723.
Authors: Harms
Bajwa
Calderbank
Coders: Harms
Last update
Sat May 18 01:09:00 CEST 2013
Ranking
9999
Runs
N.A.
Visits
N.A.
Using a Modified Taylor Cell to Validate Simulation and Measurement of Field-to-Shorted-Trace Coupling
Abstract
Predicting the immunity of electronic boards to radiated electromagnetic interference requires the computation of the coupling efficiency of an electromagnetic field to PCB traces. In the case of complex PCBs, full-wave electromagnetic solvers are convenient, yet at the expense of simulation time. Therefore, this paper introduces the extension of a modified Taylor-based analytical model to the case of traces terminated at one end by a non-characteristic impedance. This model makes it possible to determine the far-field-to-trace coupling using only a sum of closed-form equations. When applied to a shorted, meandered PCB trace, it was found to be accurate to within 2.2 dB compared with GTEM measurements, which demonstrates its relevance for immunity prediction. Moreover, the full-wave simulation of this case study was validated using the extended model and found to be accurate to within 1.4 dB.
Op 't Land, S., M. Ramdani, R. Perdriau, Y. Braux, and M. Drissi, "Using a Modified Taylor Cell to Validate Simulation and Measurement of Field-to-Shorted-Trace Coupling", INSA Rennes.
Authors: Op 't Land
Ramdani
Perdriau
Braux
Drissi
Coders: Op 't Land
Last update
Tue Jul 22 02:46:00 CEST 2014
Ranking
9999
Runs
63
Visits
N.A.