Signal Processing Algorithm Description & Evaluation with - - PowerPoint PPT Presentation
Signal Processing Algorithm Description & Evaluation with Simulation Brooke Russell Yale University DUNE APA Consortium Meeting October 2 nd 2017 Outline Last meeting Hanyu summarized single phase LArTPC signal formation and a full
Brooke Russell Yale University DUNE APA Consortium Meeting October 2nd 2017
simulation
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Motivates 2D deconvolution with careful ROI selection
in ICARUS and ArgoNeuT
−∞ ∞ 𝑆(𝑢, 𝑢′) ∙ 𝑇 𝑢 𝑒𝑢
𝑁(𝜕) 𝑆(𝜕) ⟹ 𝑇 𝜕 = 𝑁 𝜕 𝑆 𝜕 ∙ 𝐺(𝜕)
frequency noise
(1D)
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ield ld response
𝑗 = −𝑟𝐹𝑥 ∙ Ԧ 𝑤𝑟 න 𝑗 𝑒𝑢 = 𝑟𝑛 ∙ (𝑊
𝑛 𝑓𝑜𝑒 − 𝑊 𝑛 𝑡𝑢𝑏𝑠𝑢)
current
The weighting field extends beyond a single wire region
−∞ ∞ … + 𝑆1 𝑢0 − 𝑢 ∙ 𝑇𝑗−1 𝑢 + 𝑆0 𝑢0 − 𝑢 ∙ 𝑇𝑗 𝑢 + 𝑆1 𝑢0 − 𝑢 ∙ 𝑇𝑗+1 𝑢 + ⋯ 𝑒𝑢
𝑁1 𝜕 𝑁2 𝜕 ⋮ 𝑁𝑜−1 𝜕 𝑁𝑜 𝜕 = 𝑆0 𝜕 𝑆1 𝜕 ⋯ 𝑆𝑜−2 𝜕 𝑆𝑜−1 𝜕 𝑆1 𝜕 𝑆0 𝜕 ⋯ 𝑆𝑜−3 𝜕 𝑆𝑜−2 𝜕 ⋮ ⋮ ⋱ ⋮ ⋮ 𝑆𝑜−2 𝜕 𝑆𝑜−3 𝜕 ⋯ 𝑆0 𝜕 𝑆1 𝜕 𝑆𝑜−1 𝜕 𝑆𝑜−2 𝜕 ⋯ 𝑆1 𝜕 𝑆0 𝜕 ∙ 𝑇1 𝜕 𝑇2 𝜕 ⋮ 𝑇𝑜−1 𝜕 𝑇𝑜 𝜕
taken into account the induction range inherent to LArTPCs to extract charge
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for induction wire planes 𝑇 𝜕 = 𝑁(𝜕) 𝑆(𝜕) ⋅ 𝐺(𝜕)
find induction plane signals in the deconvolved waveform
signals
prolonged signals
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charge for tracks at large angle with respect to wire plane
for difficult topologies
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Deconvolution results of a point charge of 10k electrons simulated 1m from wires planes
Percentage of total charge recovered (+ charge, - charge) Relative positive charge in percentage per wire
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Bin-to-bin correlations on induction planes Noise-like on collection plane
Total l Charge Resolution Wit ithin in th the Enti tire ROI Win indow Center Bin in Char arge Resolu lution Cor
ing to
Different ROI win indows
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Cha Charge Bi Bias Significant in induction planes at large 𝜄𝑦𝑨, a ramification of bipolar cancelation Cha Charge Res esolu lutio ion Dominated by noise induced charge fluctuation, especially problematic from noise in induction plane magnified by bipolar response in deconvolution Ine Ineffic iciency Ratio of reconstructed charge to true charge
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Point Sources Line Source
Fairly good charge matching across all three wire planes
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inefficiency in current signal processing
2D Field responses
3D effect
calculation difficult; this is an area of active development
indicates there is room for further improvement
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2D Garfield simulation scheme illustration
phase LArTPCs
simulation
future development
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𝑋𝑏𝑤𝑓𝑔𝑝𝑠𝑛 = 𝐸𝑓𝑞𝑝𝑡𝑗𝑢𝑗𝑝𝑜 ⊗ 𝐸𝑠𝑗𝑔𝑢𝑗𝑜 ⊗ 𝐸𝑣𝑑𝑢𝑗𝑜 + 𝑂𝑝𝑗𝑡𝑓 ⨀𝐸𝑗𝑗𝑢𝑗𝑨𝑏𝑢𝑗𝑝𝑜
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Charge deposition input: Geant4 or WCT tool or manual
Inherent electronics noise model
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logy
True charge in one wire region Reconstructed charge (using average response) in one wire region Reconstructed charge from center and neighboring wire regions Intra-wire field response dependence Inter-wire field response dependence
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logy
dependent signals
𝜄𝑧 = 90° with 𝜄𝑦𝑨 varying 𝜄𝑦𝑨 = 0° with 𝜄𝑧 varying