code: def generate_approximate_noise_field(
      mic_positions: npt.NDArray,
      noise_signal: npt.NDArray,
      sample_rate: float,
      field: str = "spherical",
      fft_length: int = 512,
      method: str = "cholesky",
      sound_velocity: float = SOUND_VELOCITY,
  ):
      """
      Args:
          mic_positions: 3D microphone positions, shape (num_mics, 3)
          noise_signal: signal used to generate the approximate noise field, shape (num_samples, num_mics).
                        Different channels need to be independent.
          sample_rate: sampling rate of the input signal
          field: string denoting the type of the soundfield
          fft_length: length of the fft in samples
          method: coherence decomposition method
          sound_velocity: speed of sound in m/s
  
      Returns:
          Signal with coherence approximately matching the desired coherence, shape (num_samples, num_channels)
  
      References:
          E.A.P. Habets, I. Cohen and S. Gannot, 'Generating nonstationary multisensor
          signals under a spatial coherence constraint', Journal of the Acoustical Society
          of America, Vol. 124, Issue 5, pp. 2911-2917, Nov. 2008.
      """
      assert fft_length % 2 == 0
      num_mics = mic_positions.shape[0]
  
      if num_mics < 2:
          raise ValueError("Expecting at least 2 microphones")
  
      desired_coherence = theoretical_coherence(
          mic_positions=mic_positions,
          field=field,
          sample_rate=sample_rate,
          fft_length=fft_length,
          sound_velocity=sound_velocity,
      )
  
      return transform_to_match_coherence(
          signal=noise_signal,
          desired_coherence=desired_coherence,
          method=method,
      )
  
imports: import math
  from typing import Iterable, Optional, Union
  import librosa
  import numpy
  import numpy.typing
  import scipy
  import soundfile
  import torch
  from scipy.spatial.distance import pdist, squareform
  from nemo.utils import logging
label_desc: Use image node_id 6 for calling a global function with example usage: generate_approximate_noise_field(mic_positions, noise_signal, sample_rate, field, fft_length, method, sound_velocity) and returns: transform_to_match_coherence