Publication
Comparative Study of Three Bayesian Filtering Approaches for Phase Step Estimation in Optical Interferometry
Related publications (37)
Patch-wise denoising of phase fringe patterns based on matrix enhancement
Pramod Rastogi, Rishikesh Dilip Kulkarni
We propose a new approach for the denoising of a phase fringe pattern recorded in an optical interferometric setup. The phase fringe pattern which is generally corrupted by high amount of speckle noise is first converted into an exponential phase field. Th ...
2016Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points
Fabio Nobile, Giovanni Migliorati
We study the accuracy of the discrete least-squares approximation on a finite-dimensional space of a real-valued target function from noisy pointwise evaluations at independent random points distributed according to a given sampling probability measure. Th ...
2015MATHICSE Technical Report : Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points
Fabio Nobile, Giovanni Migliorati
We study the accuracy of the discrete least-squares approximation on a finite dimensional space of a real-valued target function from noisy pointwise evaluations at independent random points distributed according to a given sampling probability measure. Th ...
MATHICSE2015Robust Microphone Placement for Source Localization from Noisy Distance Measurements
Hervé Bourlard, Philip Neil Garner, Afsaneh Asaei, Mohammadjavad Taghizadeh, Saeid Haghighatshoar
We propose a novel algorithm to design an optimum array geometry for source localization inside an enclosure. We assume a square-law decay propagation model for the sound acquisition so that the additive noise on the measured source-microphone distances is ...
2015Phase derivative estimation from a single interferogram using a Kalman smoothing algorithm
Pramod Rastogi, Rishikesh Dilip Kulkarni
We report a technique for direct phase derivative estimation from a single recording of a complex interferogram. In this technique, the interference field is represented as an autoregressive model with spatially varying coefficients. Estimates of these coe ...
Optical Society of America2015Robust distributed detection over adaptive diffusion networks
Diffusion adaptation techniques based on the least-mean-squares criterion have been proposed for distributed detection of a signal in Gaussian-distributed noise, forgoing the need for a fusion center. However, least-mean-squares solutions are generally non ...
IEEE2014An optimal error nonlinearity for robust adaptation against impulsive noise
The least-mean squares algorithm is non-robust against impulsive noise. Incorporating an error nonlinearity into the update equation is one useful way to mitigate the effects of impulsive noise. This work develops an adaptive structure that parametrically ...
IEEE2013Phase-step estimation in interferometry via an unscented Kalman filter
We present an unscented Kalman filter to identify the phase step imparted to a piezoelectric transducer in phase shifting interferometry in the presence of Gaussian noise. The advantage of the proposed algorithm lies in its ability to determine the phase s ...
2009Coding Along Hermite Polynomials for Gaussian Noise Channels
This paper shows that the capacity achieving input distribution for a fading Gaussian broadcast channel is not Gaussian in general. The construction of non-Gaussian distributions that strictly outperform Gaussian ones, for certain characterized fading dist ...
Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2009Nonideal sampling and regularized interpolation of noisy data
Conventional sampling (Shannon's sampling formulation and its approximation-theoretic counterparts) and interpolation theories provide effective solutions to the problem of reconstructing a signal from its samples, but they are primarily restricted to the ...
EPFL2009