Locally Optimized Precipitation Detection over Land Grant Petty Atmospheric and Oceanic Sciences...
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![Page 1: Locally Optimized Precipitation Detection over Land Grant Petty Atmospheric and Oceanic Sciences University of Wisconsin - Madison.](https://reader035.fdocuments.in/reader035/viewer/2022070605/5a4d1ad57f8b9ab059972a7f/html5/thumbnails/1.jpg)
Locally Optimized Precipitation Detection over Land
Grant PettyAtmospheric and Oceanic Sciences
University of Wisconsin - Madison
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The Old View
● Operator(s) classify pixels rain vs. no rain snow vs. rain, etc.
● “Detection” is front-end to retrieval algorithms● But: Just because pixel is “raining” doesn’t mean that it
is free of environmental contamination!
All Pixels
Screening Operator
Raining Pixels
Non-Raining Pixels
RetrievalAlgorithm
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A New View
All channels+ancillary data
Decoupling Operator(s)
Precipitationsignal(s)
Environmentalnoise
Thresholding and/or RetrievalAlgorithm
● Classification/screening of pixels, when needed, reduces to thresholding of the extracted signal.
● Cleanly separated signals can then be post-processed into actual retrievals; environmental contamination is greatly reduced.
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300 150 150
300
TB,V
TB,H
S=0 no scattering
P=0 opaque cloud
P=1 cloud free
P=0.6 LWP = min
S=10 K
Example: Utilization of dual-polarization TB over ocean
Snow,no rain
Cold-cloud rain
Warm-cloudrain
Cloud-freeocean
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Applicability to Land Retrievals
Need analogous multichannel operators/techniques to decouple (not merely flag) precipitation signatures from background variability (spatial and temporal).
Problem surfaces range from desert sand to snow-covered ground.
Some methods have been demonstrated in prototype form but never developed further.
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Examples of strategies over land using microwave imagers
● Databases, models, and/or retrievals to reduce uncertainty in surface emissivity
● Multichannel (e.g., eigenvector) methods to separate precip signatures from surface variability (e.g, Conner and Petty 1998; Bauer 2002)
● Use of polarization to reduce sensitivity to water fraction (e.g., Spencer et al. 1989)
● Optimal estimation methods - not widely used yet!
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Linear estimation methods
● Traditional Minimum Variance - find linear operator that minimizes mean-squared error in retrieved quantity. Requires: Noise covariance and linearized forward
model or statistical regression using real or modeled data.
Problem: This method balances noise amplification against scaling errors -- always underestimates magnitude of desired signal, especially when signal-to-noise ratio is poor.
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Linear estimation methods (cont.)
● Eigenvector methods - find linear operator that captures signature of precipitation. Then subtract the components that are parallel to the the first one or two noise covariance eigenvectors to eliminate their contribution. Requires: Eigenvectors of noise covariance and
linearized forward model. Problem: Reduces geophysical noise but does not
necessarily minimize it.
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Linear estimation methods (cont.)
● Constrained optimization - find linear operator that retains properly scaled response to precipitation signature while minimizing mean-squared error. Requires: Noise covariance and linearized forward
model. Problem: Hardly anyone in our business has heard
of it!
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Constrained Optimization - Simple Example
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Preliminary Experiments with Constrained Optimization
● Generate N-dimensional histograms of multichannel TBs for each 1x1 degree geographical grid box and each calendar month.
● Sort bins in order of decreasing density.● Identify first M bins that account for 80% of all pixels, thus
excluding “rare” events such as precipitation. M is location-dependent.
● Compute channel means and NxN covariances from pixels falling in the above bins for each month; combine for entire calendar year 2002
● Use physical model to obtain multichannel signature vectors (linear) as function of mean background TB
● Use constrained optimization to find unbiased linear operator and estimate associated geophysical noise.
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Comparison of background noise susceptibility for TMI - global fixed vs. locally
optimized linear operators
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Examples of actual precipitation detection using constrained optimal
estimation!!
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Examples of actual precipitation detection using constrained optimal
estimation!!
?
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Examples of actual precipitation detection using constrained optimal
estimation!!
?Last weekend, a nearby lightning strike took out our 7-
terabyte RAID along with all of our TMI and AMSR-E swath data and other critical files!
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Examples of actual precipitation detection using constrained optimal
estimation!!
?Last weekend, a nearby lightning strike took out our 7-
terabyte RAID along with all of our TMI and AMSR-E swath data and other critical files!
Consequently, even I have not yet seen COE applied to swath data yet. :(
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Conclusions● The availability of local background channel covariances
can be exploited to find linear operators that maximum the signal-to-noise ratio of a desired signature (e.g., precip).
● Helps solve Coastline problem Desert problem Snow problem?
● Method will be initially tested using TMI in order to take advantage of PR as validation.
● Adaptation to AMSR-E is in progress and will serve as a more challenging test (high latitude, cold season land).