conditioning

---
name: conditioning
description: Data conditioning techniques for gravitational wave detector data. Use when preprocessing raw detector strain data before matched filtering, including high-pass filtering, resampling, removing filter wraparound artifacts, and estimating power spectral density (PSD). Works with PyCBC TimeSeries data.
---

# Gravitational Wave Data Conditioning

Data conditioning is essential before matched filtering. Raw gravitational wave detector data contains low-frequency noise, instrumental artifacts, and needs proper sampling rates for computational efficiency.

## Overview

The conditioning pipeline typically involves:
1. High-pass filtering (remove low-frequency noise below ~15 Hz)
2. Resampling (downsample to appropriate sampling rate)
3. Crop filter wraparound (remove edge artifacts from filtering)
4. PSD estimation (calculate power spectral density for matched filtering)

## High-Pass Filtering

Remove low-frequency noise and instrumental artifacts:

```python
from pycbc.filter import highpass

# High-pass filter at 15 Hz (typical for LIGO/Virgo data)
strain_filtered = highpass(strain, 15.0)

# Common cutoff frequencies:
# 15 Hz: Standard for ground-based detectors
# 20 Hz: Higher cutoff, more aggressive noise removal
# 10 Hz: Lower cutoff, preserves more low-frequency content
```

**Why 15 Hz?** Ground-based detectors like LIGO/Virgo have significant low-frequency noise. High-pass filtering removes this noise while preserving the gravitational wave signal (typically >20 Hz for binary mergers).

## Resampling

Downsample the data to reduce computational cost:

```python
from pycbc.filter import resample_to_delta_t

# Resample to 2048 Hz (common for matched filtering)
delta_t = 1.0 / 2048
strain_resampled = resample_to_delta_t(strain_filtered, delta_t)

# Or to 4096 Hz for higher resolution
delta_t = 1.0 / 4096
strain_resampled = resample_to_delta_t(strain_filtered, delta_t)

# Common sampling rates:
# 2048 Hz: Standard, computationally efficient
# 4096 Hz: Higher resolution, better for high-mass systems
```

**Note**: Resampling should happen AFTER high-pass filtering to avoid aliasing. The Nyquist frequency (half the sampling rate) must be above the signal frequency of interest.

## Crop Filter Wraparound

Remove edge artifacts introduced by filtering:

```python
# Crop 2 seconds from both ends to remove filter wraparound
conditioned = strain_resampled.crop(2, 2)

# The crop() method removes time from start and end:
# crop(start_seconds, end_seconds)
# Common values: 2-4 seconds on each end

# Verify the duration
print(f"Original duration: {strain_resampled.duration} s")
print(f"Cropped duration: {conditioned.duration} s")
```

**Why crop?** Digital filters introduce artifacts at the edges of the time series. These artifacts can cause false triggers in matched filtering.

## Power Spectral Density (PSD) Estimation

Calculate the PSD needed for matched filtering:

```python
from pycbc.psd import interpolate, inverse_spectrum_truncation

# Estimate PSD using Welch's method
# seg_len: segment length in seconds (typically 4 seconds)
psd = conditioned.psd(4)

# Interpolate PSD to match data frequency resolution
psd = interpolate(psd, conditioned.delta_f)

# Inverse spectrum truncation for numerical stability
# This limits the effective filter length
psd = inverse_spectrum_truncation(
    psd,
    int(4 * conditioned.sample_rate),
    low_frequency_cutoff=15
)

# Check PSD properties
print(f"PSD length: {len(psd)}")
print(f"PSD delta_f: {psd.delta_f}")
print(f"PSD frequency range: {psd.sample_frequencies[0]:.2f} - {psd.sample_frequencies[-1]:.2f} Hz")
```

### PSD Parameters Explained

- **Segment length (4 seconds)**: Longer segments give better frequency resolution but fewer averages. 4 seconds is a good balance.
- **Low frequency cutoff (15 Hz)**: Should match your high-pass filter cutoff. Frequencies below this are not well-characterized.

## Best Practices

1. **Always high-pass filter first**: Remove low-frequency noise before resampling
2. **Choose appropriate sampling rate**: 2048 Hz is standard, 4096 Hz for high-mass systems
3. **Crop enough time**: 2 seconds is minimum, but may need more for longer templates
4. **Match PSD cutoff to filter**: PSD low-frequency cutoff should match high-pass filter frequency
5. **Verify data quality**: Plot the conditioned strain to check for issues

## Dependencies

```bash
pip install pycbc
```

## References

- [PyCBC Tutorial: Waveform & Matched Filter](https://colab.research.google.com/github/gwastro/pycbc-tutorials/blob/master/tutorial/3_WaveformMatchedFilter.ipynb) - Practical tutorial covering data conditioning, PSD estimation, and matched filtering
- [PyCBC Filter Documentation](https://pycbc.org/pycbc/latest/html/pycbc.filter.html)
- [PyCBC PSD Documentation](https://pycbc.org/pycbc/latest/html/pycbc.psd.html)

## Common Issues

**Problem**: PSD estimation fails with "must contain at least one sample" error
- **Solution**: Ensure data is long enough after cropping (need several segments for Welch method)

**Problem**: Filter wraparound artifacts in matched filtering
- **Solution**: Increase crop amount or check that filtering happened before cropping

**Problem**: Poor SNR due to low-frequency noise
- **Solution**: Increase high-pass filter cutoff frequency or check PSD inverse spectrum truncation