residual-spectra

5
Basic assumption: The coherent/wave ULF power on closed field lines in the Pc5-Pc6 frequency band (e.g., due to field line resonances) is significantly enhanced relative to open field lines at OCB latitudes and can serve as a predictor of open/closed field line measurements Algorithm: 1. Raw magnetic time series data 2. Mean-subtract and high-pass filter 3. Subset filtered data into 1-hr segments, stepped forward every 10 min 4. For each data segment: a. apply hanning window b. estimate power spectrum and background power law c. remove background power law 5. The resulting data product, R[t,f], is the dynamic residual spectrum Estimating Coherent/Wave ULF Power: The Dynamic Residual Spectrum Digitally High-Pass Filter (“Bass Cut / Detrend”) 1 2 Raw Data 3 Slice n’ Dice Kevin Urban: Quiet-Time Observations of the Open-Closed Boundary

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Page 1: residual-spectra

Basic assumption: The coherent/wave ULF power on closed field lines in the Pc5-Pc6 frequency band (e.g., due to field line resonances) is significantly enhanced relative to open field lines at OCB latitudes and can serve as a predictor of open/closed field line measurements

Algorithm: 1.  Raw magnetic time

series data 2.  Mean-subtract and

high-pass filter 3.  Subset filtered data

into 1-hr segments, stepped forward every 10 min

4.  For each data segment:�a. apply hanning window�b. estimate power spectrum and background power law�c. remove background power law

5.  The resulting data product, R[t,f], is the dynamic residual spectrum

Estimating Coherent/Wave ULF Power: The Dynamic Residual Spectrum

Digitally High-Pass Filter (“Bass Cut / Detrend”)

1  2  Raw Data

3  

Slice n’ Dice

Kevin Urban: Quiet-Time Observations of the Open-Closed Boundary

Page 2: residual-spectra

4  Algorithm: 1.  Raw magnetic time

series data 2.  Mean-subtract and

high-pass filter 3.  Subset filtered data

into 1-hr segments, stepped forward every 10 min

4.  For each data segment:�a. apply hanning window�b. estimate power spectrum and background power law�c. remove background power law

5.  The resulting data product, R[t,f], is the dynamic residual spectrum

Kevin Urban: Quiet-Time Observations of the Open-Closed Boundary

Basic assumption: The coherent/wave ULF power on closed field lines in the Pc5-Pc6 frequency band (e.g., due to field line resonances) is significantly enhanced relative to open field lines at OCB latitudes and can serve as a predictor of open/closed field line measurements

Estimating Coherent/Wave ULF Power: The Dynamic Residual Spectrum

Page 3: residual-spectra

5  

The Dynamic-Residual-Spectrum Estimate of Coherent Wave Power at a Site Algorithm:

1.  Raw magnetic time series data

2.  Mean-subtract and high-pass filter

3.  Subset filtered data into 1-hr segments, stepped forward every 10 min

4.  For each data segment:�a. apply hanning window�b. estimate power spectrum and background power law�c. remove background power law

5.  The resulting data product, R[t,f], is the dynamic residual spectrum

Basic assumption: The coherent/wave ULF power on closed field lines in the Pc5-Pc6 frequency band (e.g., due to field line resonances) is significantly enhanced relative to open field lines at OCB latitudes and can serve as a predictor of open/closed field line measurements

Estimating Coherent/Wave ULF Power: The Dynamic Residual Spectrum

Kevin Urban: Quiet-Time Observations of the Open-Closed Boundary

Page 4: residual-spectra

10

20

10

20

20 40 60

Peri

od (

min)

UT (hours)

Relative Power

P3

August 6-8, 2008 MCM – Quiet Time vs. Storm Time

August 9-12, 2008

10

20

10

20

20 40 60

Peri

od (

min)

UT (hours)

Relative Power

P3

August 6-8, 2008 P2 – Quiet Time vs. Storm Time

August 9-12, 2008

10

20

10

20

20 40 60

Peri

od (

min)

UT (hours)

Relative Power

P3

August 6-8, 2008 P3 – Quiet Time vs. Storm Time

August 9-12, 2008

10

20

10

20

20 40 60

Peri

od (

min)

UT (hours)

Relative Power

P3

August 6-8, 2008 SPA – Quiet Time vs. Storm Time

August 9-12, 2008

10

20

10

20

20 40 60 Pe

riod

(mi

n)

UT (hours)

Relative Power

P3

August 6-8, 2008 MCM – Quiet Time vs. Storm Time

August 9-12, 2008

10

20

10

20

20 40 60

Peri

od (

min)

UT (hours)

Relative Power

P3

August 6-8, 2008 P2 – Quiet Time vs. Storm Time

August 9-12, 2008

10

20

10

20

20 40 60

Peri

od (

min)

UT (hours)

Relative Power

P3

August 6-8, 2008 P3 – Quiet Time vs. Storm Time

August 9-12, 2008

10

20

10

20

20 40 60

Peri

od (

min)

UT (hours)

Relative Power

P3

August 6-8, 2008 SPA – Quiet Time vs. Storm Time

August 9-12, 2008

10

20

10

20

20 40 60

Peri

od (

min)

UT (hours)

Relative Power

P3

August 6-8, 2008 MCM – Quiet Time vs. Storm Time

August 9-12, 2008

10

20

10

20

20 40 60

Peri

od (

min)

UT (hours)

Relative Power

P3

August 6-8, 2008 P2 – Quiet Time vs. Storm Time

August 9-12, 2008

10

20

10

20

20 40 60

Peri

od (

min)

UT (hours)

Relative Power

P3

August 6-8, 2008 P3 – Quiet Time vs. Storm Time

August 9-12, 2008

10

20

10

20

20 40 60 Pe

riod

(mi

n)

UT (hours)

Relative Power

P3

August 6-8, 2008 SPA – Quiet Time vs. Storm Time

August 9-12, 2008

10

20

10

20

20 40 60

Peri

od (

min)

UT (hours)

Relative Power

P3

August 6-8, 2008 MCM – Quiet Time vs. Storm Time

August 9-12, 2008

10

20

10

20

20 40 60

Peri

od (

min)

UT (hours)

Relative Power

P3

August 6-8, 2008 P2 – Quiet Time vs. Storm Time

August 9-12, 2008

10

20

10

20

20 40 60

Peri

od (

min)

UT (hours)

Relative Power

P3

August 6-8, 2008 P3 – Quiet Time vs. Storm Time

August 9-12, 2008

10

20

10

20

20 40 60

Peri

od (

min)

UT (hours)

Relative Power

P3

August 6-8, 2008 SPA – Quiet Time vs. Storm Time

August 9-12, 2008

Estimates of Coherent Wave Power at Multiple Antarctic Sites

AGO2 AGO3

SPA

MCM

Kevin Urban: Quiet-Time Observations of the Open-Closed Boundary

Page 5: residual-spectra

To automate open/closed field line determinations, we looked at band integrations over the Pc5 and Pc6 bands at each site, using the distribution at the highest-latitude site to define the open/closed threshold in each band.

Automating Open/Closed Field Line Determinations

x

Pc6 Band

Pc5 Band

We expect that at a given time, our magnetometer network (if fully operating) should produce a result like this.

Kevin Urban: Quiet-Time Observations of the Open-Closed Boundary