pespace.detector.noise

Module for modeling noise features of detectors.

Classes

AnalyticPowerSpectralDensity(...)

Analytic model for ideal Gaussian stationary noise.

FrequencyDomainNoiseModel()

Abstract base class for noise models in frequency-domain.

TianQinAnalyticPowerSpectralDensity(...)

Analytic noise model for TianQin.
class pespace.detector.noise.FrequencyDomainNoiseModel[source]

Bases: ABC

Abstract base class for noise models in frequency-domain.

abstractmethod power_spectral_density_array(frequencies, tdi_channels, scaling, tdi_generation)[source]

Compute power spectral density arrays.

Parameters:

  • frequencies (NDArray) – Array of frequency values at which to compute the PSD.

  • tdi_channels (tuple[str, ...]) – Tuple of TDI channel names (e.g., ‘X’, ‘Y’, ‘Z’, ‘A’, ‘E’, ‘T’).

  • scaling (bool) – If True, apply geometric scaling factor (PC_SI / (MRSUN_SI * MTSUN_SI))^2.

  • tdi_generation (str) – TDI generation version (e.g., ‘1.5’ or ‘2.0’).

Returns:

Dictionary mapping TDI channel names to their corresponding PSD arrays.

Return type:

dict[str, NDArray]

_abc_impl = <_abc._abc_data object>
class pespace.detector.noise.AnalyticPowerSpectralDensity(OMS_noise_level, acc_noise_level, arm_length_sec)[source]

Bases: FrequencyDomainNoiseModel

Analytic model for ideal Gaussian stationary noise.

Parameters:

  • OMS_noise_level (float)

  • acc_noise_level (float)

  • arm_length_sec (float)

OMS_noise_level

Noise level for Optical Metrology System, in m^2 Hz^-1.

Type:

float

acc_noise_level

Noise level for acceleration, in m^2 s^-4 Hz^-1.

Type:

float

arm_length_sec

Arm length of the detector, in seconds.

Type:

float

Notes

The formulae are based on the model described in https://arxiv.org/abs/2108.01167.

OMS_noise_level: float
acc_noise_level: float
arm_length_sec: float
_S_oms(frequencies)[source]

Compute Optical Metrology System noise.

Parameters:

frequencies (NDArray) – Array of frequency values in Hz.

Returns:

OMS noise array.

Return type:

NDArray

_S_acc(frequencies)[source]

Compute acceleration noise.

Parameters:

frequencies (NDArray) – Array of frequency values in Hz.

Returns:

Acceleration noise array.

Return type:

NDArray

power_spectral_density_array(frequencies, tdi_channels, scaling, tdi_generation)[source]

Generate power spectral density arrays.

Parameters:

  • frequencies (NDArray) – Array of frequency values in Hz at which to compute the PSD.

  • tdi_channels (tuple[str, ...]) – Tuple of TDI channel names. Supported channels are ‘X’, ‘Y’, ‘Z’, ‘A’, ‘E’, and ‘T’.

  • scaling (bool) – If True, apply geometric scaling factor (PC_SI / (MRSUN_SI * MTSUN_SI))^2. Using scaling=True when using float32 as the default float precision.

  • tdi_generation (str) – Supported values are ‘1.5’ and ‘2.0’.

Returns:

Dictionary mapping each TDI channel name to its corresponding PSD array. The retured numpy arrays use the default float64 precision. If float32 is used as the default precision in taichi or jax, precision conversion need to be performed externally.

Return type:

dict[str, NDArray]

Raises:

  • ValueError – If an unknown TDI channel is specified.

  • ValueError – If an unknown TDI generation is specified.

_abc_impl = <_abc._abc_data object>
class pespace.detector.noise.TianQinAnalyticPowerSpectralDensity(OMS_noise_level, acc_noise_level, arm_length_sec)[source]

Bases: AnalyticPowerSpectralDensity

Analytic noise model for TianQin.

This class extends the base analytic PSD model with TianQin-specific frequency dependencies for OMS and acceleration noise.

Parameters:

  • OMS_noise_level (float)

  • acc_noise_level (float)

  • arm_length_sec (float)

OMS_noise_level

Noise level for Optical Metrology System, in m^2 Hz^-1.

Type:

float

acc_noise_level

Noise level for acceleration, in m^2 s^-4 Hz^-1.

Type:

float

arm_length_sec

Arm length of the detector, in seconds.

Type:

float

Notes

The model is described in https://arxiv.org/abs/2309.15020.

_S_oms(frequencies)[source]

Compute Optical Metrology System noise for TianQin.

Parameters:

frequencies (NDArray) – Array of frequency values in Hz.

Returns:

OMS noise array.

Return type:

NDArray

_S_acc(frequencies)[source]

Compute acceleration noise for TianQin.

Parameters:

frequencies (NDArray) – Array of frequency values in Hz.

Returns:

Acceleration noise array.

Return type:

NDArray

_abc_impl = <_abc._abc_data object>