We consider level crossing for the difference of independent renewal processes. Second-order expansions for the distribution function of the crossing time of level n are found, as n + a. As a by-product several other results on the difference process are found. The expected minimum of the difference process appears to play an important role in the analysis. This makes this problem essentially h...

Abstract We consider the level-crossing problem in a three-level system with non-linearly time-varying Hamiltonian (time-dependence t). We study the validity of the so-called independent crossing approximation in the Landau-Zener model by making comparison with results obtained numerically in density matrix approach. We also demonstrate the failure of the so-called ”nearest zero” approximation ...

Abstract A fixed-window level-crossing analog-to-digital converter (LC-ADC) with a single comparator is proposed for the biomedical field. In this paper, signal varying direction detection circuit to judge trend of input signal, instead low-precision in modified LC-ADC. The LC-ADC utilizes only one continuous-time multiple comparators traditional LC-ADC, leading simplified implementation and si...