Mean level signal crossing rate for an arbitrary stochastic process.

Mean level signal crossing rate for an arbitrary stochastic process: reply to comment

Mean level signal crossing rate for an arbitrary stochastic process: comment.

In J. Opt. Soc. Am. A27, 797 (2010), Yura and Hanson derived what they claim to be "a general expression for the mean level crossing rate for an arbitrary" random process following any desired probability distribution function. On the other hand, the authors themselves assert that in some cases their results "differ somewhat from the result reported in the literature." This discrepancy "remains...

The reliability of quadratic dynamic systems

A key quantity for the assessment of the reliability of a dynamic system subjected to stochastic load processes is the mean level crossing rate of the response process. This paper discusses a new method for calculating this quantity for a stochastic response process represented as a second order stochastic Volterra series. The derivation of this procedure consists of three stages. First the exp...

Level-crossing Ordering of Semi-markov Processes and Markov Chains

We extend the definition of level-crossing ordering of stochastic processes, proposed by Irle andGani (2001), to the case in which the times to exceed levels are compared using an arbitrary stochastic order, and work, in particular, with integral stochastic orders closed for convolution. Using a sample-path approach, we establish level-crossing ordering results for the case in which the slower ...

Segmentation of speckle images based on level-crossing statistics.

When imaging is performed by using a coherent signal, the result is frequently a realization of the stochastic process known as speckle. The information sought from this process is often the mean value of its envelope or intensity at each point in the image plane. When only a single realization of the process is available, ergodicity is required within a sufficiently large region for accurate e...