Reduction of colored noise in excitable systems to white noise and dynamic boundary conditions
A recent study on the effect of colored driving noise on the escape from a metastable state derives an analytic expression of the transfer function of the leaky integrate-and-fire neuron model subject to colored noise. Here we present an alternative derivation of the results, taking into account time-dependent boundary conditions explicitly. This systematic approach may facilitate future extensions beyond first order perturbation theory. The analogy of the quantum harmonic oscillator to the LIF neuron model subject to white noise enables a derivation of the well known transfer function simpler than the original approach. We offer a pedagogical presentation including all intermediate steps of the calculations.
Code (0)
등록된 구현이 없습니다.
Similar Papers 제목 키워드 기반
Decentralized Equalization for Massive MIMO Systems With Colored Noise Samples
Recently, the decentralized baseband processing (DBP) paradigm and relevant detection methods have been proposed to enable extremely large-scale massive multiple-input multiple-output technology. Under the DBP architectu…
Dimensionality ReductionAdaptive Noise Covariance Estimation under Colored Noise using Dynamic Expectation Maximization
The accurate estimation of the noise covariance matrix (NCM) in a dynamic system is critical for state estimation and control, as it has a major influence in their optimality. Although a large number of NCM estimation me…
State EstimationFlicker-DDPM: Accelerating Denoising Diffusion via 1/f Colored Noise Injection
We propose a novel diffusion model, Flicker-DDPM, which incorporates flicker (1/f) noise inspired by self-organized criticality (SOC), a widely observed phenomenon in natural systems. Unlike denoising diffusion probabili…
Effects of Correlated Noise on the Performance of Persistence Based Dynamic State Detection Methods
The ability to characterize the state of dynamic systems has been a pertinent task in the time series analysis community. Traditional measures such as Lyapunov exponents are often times difficult to recover from noisy da…
DiagnosticTime SeriesTime Series AnalysisMean Square Performance of a family of Adaptive Algorithms for colored noise
In real-time applications the characteristics and properties of a signal vary inconsistently. So, to maintain the integrity of such signals there is a need for effective adaptive filters. The conventional Least Mean Squa…