56 citations · 148 across the 11 of their papers we have counts for
12 papers
First-Order Statistical Framework for Multi-Channel Passive Detection
Todd McWhorter, Louis Scharf, Margaret Cheney
In this paper we establish a general first-order statistical framework for the detection of a common signal impinging on spatially distributed receivers. We consider three types of…
A Unified Theory of Adaptive Subspace Detection. Part II: Numerical Examples
Pia Addabbo, Danilo Orlando, Giuseppe Ricci +1
This paper is devoted to the performance analysis of the detectors proposed in the companion paper where a comprehensive design framework is presented for the adaptive detection of…
Testing for Causal Influence using a Partial Coherence Statistic
Louis L. Scharf, Yuan Wang
In this paper we explore partial coherence as a tool for evaluating causal influence of one signal sequence on another. In some cases the signal sequence is sampled from a time- or…
A Generalized Theory of Power
Louis L. Schar, Dongliang Duan
The complex representation of real-valued instantaneous power may be written as the sum of two complex powers, one Hermitian and the other non-Hermitian, or complementary. A virtue…
A Unified Theory of Adaptive Subspace Detection. Part I: Detector Designs
Danilo Orlando, Giuseppe Ricci, Louis L. Scharf
This paper addresses the problem of detecting multidimensional subspace signals, which model range-spread targets, in noise of unknown covariance. It is assumed that a primary chan…
Bayesian Learning of Occupancy Grids
Christopher Robbiano, Edwin K. P. Chong, Mahmood R. Azimi-Sadjadi +2
Occupancy grids encode for hot spots on a map that is represented by a two dimensional grid of disjoint cells. The problem is to recursively update the probability that each cell i…
Threshold Effects in Parameter Estimation from Compressed Data
Pooria Pakrooh, Louis L. Scharf, Ali Pezeshki
In this paper, we investigate threshold effects associated with swapping of signal and noise subspaces in estimating signal parameters from compressed noisy data. The term threshol…
Modal Analysis Using Sparse and Co-prime Arrays
Pooria Pakrooh, Louis L. Scharf, Ali Pezeshki
Let a measurement consist of a linear combination of damped complex exponential modes, plus noise. The problem is to estimate the parameters of these modes, as in line spectrum est…
Analysis of Fisher Information and the Cramér-Rao Bound for Nonlinear Parameter Estimation after Compressed Sensing
Pooria Pakrooh, Ali Pezeshki, Louis L. Scharf +2
In this paper, we analyze the impact of compressed sensing with complex random matrices on Fisher information and the Cramér-Rao Bound (CRB) for estimating unknown parameters in th…
The Geometry of Fusion Inspired Channel Design
Yuan Wang, Haonan Wang, Louis Scharf
This paper is motivated by the problem of integrating multiple sources of measurements. We consider two multiple-input-multiple-output (MIMO) channels, a primary channel and a seco…
Greedy Adaptive Compression in Signal-Plus-Noise Models
Entao Liu, Edwin K. P. Chong, Louis L. Scharf
The purpose of this article is to examine the greedy adaptive measurement policy in the context of a linear Guassian measurement model with an optimization criterion based on infor…
Extensions to the Theory of Widely Linear Complex Kalman Filtering
Wenbing Dang, Louis L. Scharf
For an improper complex signal x, its complementary covariance ExxT is not zero and thus it carries useful statistical information about x. Widely linear processing exploits Hermit…