1,232 research outputs found

    Toward the Universal Rigidity of General Frameworks

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    Let (G,P) be a bar framework of n vertices in general position in R^d, d <= n-1, where G is a (d+1)-lateration graph. In this paper, we present a constructive proof that (G,P) admits a positive semi-definite stress matrix with rank n-d-1. We also prove a similar result for a sensor network where the graph consists of m(>= d+1) anchors.Comment: v2, a revised version of an earlier submission (v1

    An articulatory-functional approach to modeling Persian focus prosody

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    This paper is an attempt to test PENTA, an articulatory-functional model, on Persian focus prosody. The test was done on a corpus consisting of utterances with different focus conditions using PENTAtrainer2, a trainable prosody synthesizer that optimizes categorical pitch targets each corresponding to multiple communicative functions. The evaluation was done by comparing the F0 contours generated by the extracted pitch targets to those of natural utterances through numerical and perceptual evaluations. The numerical results showed that the synthesized F0 was close to the natural contour in terms of RMSE (= 1.94) and Pearson’s r (= 0.84). Perceptual evaluation showed that the rate of focus identification and naturalness judgement by native Persian listeners were highly similar between synthetic and natural F0 contours

    Square-root Nyquist filter design for QAM-based filter bank multicarrier systems

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    Filter bank multicarrier systems with quadrature amplitude modulation (FBMC/QAM) have drawn attentions to get the advantage of complex symbol transmission, as well as very low out of band radiation and relaxed synchronization requirements for asynchronous scenarios. In order to make this system viable for practical deployment, the biggest challenge is designing appropriate filters to minimize the interference between adjacent subcarriers, while maintaining the Nyquist property of the filter. We show that the deviation from the Nyquist property can be compensated through the fractional shift of the filtered symbols, which provides flexibility to optimize the stopband of the filter. The proposed design method shows advantages over the state of the art designs, and provides guidance for the filter design in practical FBMC/QAM systems
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