A Cramer-Rao bound (CRB) study is developed to characterize the information content about scattering parameters that is contained in reflective (R), transmissive (T), and combined R plus T wave scattering data. The analysis is developed for scalar wave scattering systems in onedimensional space, paying particular attention to elastic scatterers, which simplifies the signal model (relative to mo...

Herein, a novel eigenstructure-based method for direction estimation is presented. The method assumes that the emitter signals are uncorrelated. Ideas from subspace and covariance matching methods are combined to yield a non-iterative estimation algorithm when a uniform linear array is employed. The large sample performance of the estimator is analyzed. It is shown that the asymptotic variance ...

The Cramér-Rao bound (CRB) offers a lower bound on the variances of unbiased estimates of parameters, e.g., directions of arrival (DOA) in array processing. While there exist landmark papers on the study of the CRB in the context of array processing, the closed-form expressions available in the literature are not easy to use in the context of sparse arrays (such as minimum redundancy arrays (MR...

The Canonical Polyadic tensor decomposition (CPD), also known as Candecomp/Parafac, is very useful in numerous scientific disciplines. Structured CPDs, i.e. with Toeplitz, circulant, or Hankel factor matrices, are often encountered in signal processing applications. As subsequently pointed out, specialized algorithms were recently proposed for estimating the deterministic parameters of structur...

The Ormia ochracea is able to locate a cricket's mating call despite the small distance between its ears compared with the wavelength. This phenomenon has been explained by the mechanical coupling between the ears. In this paper, it is first shown that the coupling enhances the differences in times of arrival and frequency responses of the ears to the incoming source signals. Then, the accuracy...

Performance lower bounds are known to be a fundamental design tool in parametric estimation theory. A plethora of deterministic exist the literature, ranging from general Barankin bound well-known Cramér-Rao (CRB), latter providing optimal mean square error performance locally unbiased estimators. In this contribution, we interested mixed real- and integer-valued parameter vectors. We propose c...

In this paper, the problem of training signal design for intelligent reflecting surface (IRS)-assisted millimeter-wave (mmWave) communication under a sparse channel model is considered. The approached based on Cramér-Rao lower bound (CRB) mean-square error (MSE) estimation. By exploiting structure mmWave channels, CRB parameter composed path gains and angles derived in closed form Bayesian hybr...

The Cramér-Rao bound (CRB) offers a lower bound on the variances of unbiased estimates of parameters, e.g., directions of arrival (DOA) in array processing. While there exist landmark papers on the study of the CRB in the context of array processing, the closed-form expressions available in the literature are not easy to use in the context of sparse arrays (such as minimum redundancy arrays (MR...

Abstract Achieving localization with molecular precision has been of great interest for extending fluorescence microscopy to nanoscopy. MINFLUX pioneers this transition through point spread function (PSF) engineering, yet its performance is primarily limited by the signal-to-background ratio. Here we demonstrate theoretically that two-photon (2p-MINFLUX) could double PSF engineering nonlinear e...

We consider the use of an arbitrary planar array for direction-ofarrival (DOA) estimation, with the commonly used Cramér-Rao Bound (CRB) as a performance measure. By taking advantage of the cosine structure of the array Fisher information matrix (FIM), the FIM is reformulated to be completely represented by three parameters which depend on the array geometry, leading to a new FIM expression tha...