Abstract: Method and apparatus of denoising recurrent signals comprising: providing first and second noisy signals each comprising a deterministic signal and (different realizations of) white noise; selecting one of the noisy signals as an input signal and the other noisy signal as a desired signal; providing an estimate of the deterministic signal in the input signal; determining the error between the estimated deterministic signal and the desired signal; adjusting the estimate of the deterministic signal using the error and producing an adjusted estimate of the deterministic signal.

Abstract: A method and apparatus comprising acquiring spectral measurements from an optical fiber sensor. The optical fiber sensor is an SBS-based sensor such as a BOTDA. The acquired measurements are of Brillouin interactions at a point along the optical fiber being excited by the lasers of the SBS-based sensor. The acquired measurements can comprise discreet measurements of the Brillouin gain spectrum (“BGS”) at the point along the fiber. The discreet measurements can be plotted as data points. A BGS can be defined by three parameters: the Brillouin frequency shift (“BFS”), the bandwidth and the peak gain. A Lorentzian curve can be used to model a BGS. A BFS can be determined by estimating the central frequency of the Lorentzian curve which is used to model the BGS.

Abstract: Method and apparatus of denoising recurrent signals comprising: providing first and second noisy signals each comprising a deterministic signal and (different realizations of) white noise; selecting one of the noisy signals as an input signal and the other noisy signal as a desired signal; providing an estimate of the deterministic signal in the input signal; determining the error between the estimated deterministic signal and the desired signal; adjusting the estimate of the deterministic signal using the error and producing an adjusted estimate of the deterministic signal.