Elements of information theory
Elements of information theory
The fractional Fourier domain decomposition
Signal Processing
Entropy and Information Optics
Entropy and Information Optics
Information Theory and Reliable Communication
Information Theory and Reliable Communication
Convex Optimization
Antenna Theory: Analysis and Design
Antenna Theory: Analysis and Design
Signal processing issues in diffraction and holographic 3DTV
Image Communication
Acoustic sensor network design for position estimation
ACM Transactions on Sensor Networks (TOSN)
Optimal sensor selection in binary heterogeneous sensor networks
IEEE Transactions on Signal Processing
Time-delay estimation of chirp signals in the fractional Fourier domain
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Sensor selection via convex optimization
IEEE Transactions on Signal Processing
Innovations diffusion: a spatial sampling scheme for distributed estimation and detection
IEEE Transactions on Signal Processing
Quantizer Precision for Distributed Estimation in a Large Sensor Network
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Fractional Chirp Scaling Algorithm: Mathematical Model
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Rate-Constrained Distributed Estimation in Wireless Sensor Networks
IEEE Transactions on Signal Processing
Interpolating Between Periodicity and Discreteness Through the Fractional Fourier Transform
IEEE Transactions on Signal Processing
The discrete fractional Fourier transform
IEEE Transactions on Signal Processing
Bandwidth-constrained distributed estimation for wireless sensor Networks-part I: Gaussian case
IEEE Transactions on Signal Processing
Uncertainty Principle for Real Signals in the Linear Canonical Transform Domains
IEEE Transactions on Signal Processing - Part I
On Parameter Estimates of the Lossy Wave Equation
IEEE Transactions on Signal Processing
Digital Computation of Linear Canonical Transforms
IEEE Transactions on Signal Processing
Statistical signal analysis for the inverse source problem of electromagnetics
IEEE Transactions on Signal Processing - Part I
Intrinsic Limits of Dimensionality and Richness in Random Multipath Fields
IEEE Transactions on Signal Processing
Constrained Decentralized Estimation Over Noisy Channels for Sensor Networks
IEEE Transactions on Signal Processing
One-Bit Distributed Sensing and Coding for Field Estimation in Sensor Networks
IEEE Transactions on Signal Processing
Wireless communication systems with-spatial diversity: a volumetric model
IEEE Transactions on Wireless Communications
Degrees of freedom in multiple-antenna channels: a signal space approach
IEEE Transactions on Information Theory
Decentralized estimation in an inhomogeneous sensing environment
IEEE Transactions on Information Theory
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We are concerned with the problem of optimally measuring an accessible signal under a total cost constraint, in order to estimate a signal which is not directly accessible. An important aspect of our formulation is the inclusion of a measurement device model where each device has a cost depending on the number of amplitude levels that the device can reliably distinguish. We also assume that there is a cost budget so that it is not possible to make a high amplitude resolution measurement at every point.We investigate the optimal allocation of cost budget to the measurement devices so as to minimize estimation error. This problem differs from standard estimation problems in that we are allowed to "design" the number and noise levels of the measurement devices subject to the cost constraint. Our main results are presented in the form of tradeoff curves between the estimation error and the cost budget. Although our primary motivation and numerical examples come from wave propagation problems, our formulation is also valid for other measurement problems with similar budget limitations where the observed variables are related to the unknown variables through a linear relation. We discuss the effects of signal-to-noise ratio, distance of propagation, and the degree of coherence (correlation) of the waves on these tradeoffs and the optimum cost allocation. Our conclusions not only yield practical strategies for designing optimal measurement systems under cost constraints, but also provide insights into measurement aspects of certain inverse problems.