aspcol.soundfieldestimation.inf_dimensional_shd_omni

aspcol.soundfieldestimation.inf_dimensional_shd_omni(p, pos, exp_center, max_order, wave_num, reg_param)

Estimates the spherical harmonic coefficients with Bayesian inference

Assumes all microphones are omnidirectional. Is identical to posterior_mean_omni, if reg_param = noise_power / prior_variance. So this function should be a wrapper for posterior_mean_omni or removed.

Parameters:

  • p (ndarray of shape (num_real_freqs, num_mics)) – complex sound pressure for each microphone and frequency

  • pos (ndarray of shape (num_mics, 3)) – positions of the microphones

  • exp_center (ndarray of shape (1, 3)) – expansion center of the spherical harmonics

  • max_order (int) – maximum order of the spherical harmonics

  • wave_num (ndarray of shape (num_real_freqs,)) – wavenumber, defined as w / c where w is the angular frequency and c is the speed of sound

  • reg_param (float or ndarray of shape (num_real_freqs,)) – regularization parameter. Must be non-negative

Returns:

shd_coeffs – harmonic coefficients of the estimated sound field

Return type:

complex ndarray of shape (num_real_freqs, num_coeffs)

References

Natsuki Ueno, Shoichi Koyama, Hiroshi Saruwatai, ‘Sound Field Recording Using Distributed Microphones Based on Harmonic Analysis of Infinite Order’