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Response to Comments on PCA Based Hurst Exponent Estimator for fBm Signals Under Disturbances

Mathematical Physics 2015-05-13 v2 math.MP

Abstract

In this response, we try to give a repair to our previous proof for PCA Based Hurst Exponent Estimator for fBm Signals by using orthogonal projection. Moreover, we answer the question raised recently: If a centered Gaussian process GtG_t admits two series expansions on different Riesz bases, we may possibly study the asymptotic behavior of one eigenvalue sequence from the knowledge on the asymptotic behaviors of another.

Keywords

Cite

@article{arxiv.0805.3002,
  title  = {Response to Comments on PCA Based Hurst Exponent Estimator for fBm Signals Under Disturbances},
  author = {Li Li},
  journal= {arXiv preprint arXiv:0805.3002},
  year   = {2015}
}

Comments

This is a response for a mistake in Li Li, Jianming Hu, Yudong Chen, Yi Zhang, PCA based Hurst exponent estimator for fBm signals under disturbances, IEEE Transactions on Signal Processing, vol. 57, no. 7, pp. 2840-2846, 2009