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Open AccessJournal ArticleDOI

Optimal Estimation of Calibration Parameters in Polarimetric Microwave Radiometers

D. Hudson, +1 more
- 03 Oct 2008 - 
- Vol. 46, Iss: 10, pp 3223-3237
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TLDR
It is demonstrated that Bayesian estimation decreases the root-mean-square error of the estimates by a factor of two, and the method is extended to estimate several hardware component parameters of interest in system calibration.
Abstract
Methods for internal calibration of a certain class of microwave polarimetric radiometers are presented by Piepmeier. In that work, the calibration parameters are estimated algebraically. We demonstrate that Bayesian estimation decreases the root-mean-square error of the estimates by a factor of two. This improvement is obtained by using knowledge of the noise structure of the measurements and by utilizing all of the information provided by the measurements. Drawbacks are the increased complexity of the method and an increase in computation. We also extend the method to estimate several hardware component parameters of interest in system calibration.

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Citations
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Improving accuracy in microwave radiometry via probability and inverse problem theory

TL;DR: In this article, a probabilistic approach was proposed to estimate the air temperature of a microwave radiometer by using the third Stokes parameter TU to correct the brightness temperature for polarization rotation.
References
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Book

Inverse Problem Theory and Methods for Model Parameter Estimation

TL;DR: This chapter discusses Monte Carol methods, the least-absolute values criterion and the minimax criterion, and their applications to functional inverse problems.
BookDOI

Probability theory : the logic of science

TL;DR: In this article, a survey of elementary applications of probability theory can be found, including the following: 1. Plausible reasoning 2. The quantitative rules 3. Elementary sampling theory 4. Elementary hypothesis testing 5. Queer uses for probability theory 6. Elementary parameter estimation 7. The central, Gaussian or normal distribution 8. Sufficiency, ancillarity, and all that 9. Repetitive experiments, probability and frequency 10. Advanced applications: 11. Discrete prior probabilities, the entropy principle 12. Simple applications of decision theory 15.
Book

Microwave Remote Sensing, Active and Passive

TL;DR: In this article, the authors present a model of a MICROWAVE REMOTE SENSING FUNDAMENTALS and RADIOMETRY, which is based on the idea of surface scattering.
Journal ArticleDOI

Probability Theory: The Logic of Science

Ralph Baierlein
- 01 Oct 2004 - 
TL;DR: In this article, the application of probability theory to a wide variety of problems in physics, mathematics, economics, chemistry and biology is discussed, along with its application in a wider context.
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