{'fraction_non_alphanumeric': 0.022388059701492536, 'fraction_numerical': 0.004975124378109453, 'mean_word_length': 5.007462686567164, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
A Fifty-Node Lebedev Grid And Its Applications To Ambisonics

This paper investigates the use of 50-node Lebedev grid for sound field capture and reproduction using Ambisonic approach. This grid is derived from rotationally-invariant quadrature rules, for which the underlying theory is recalled. Special attention is paid to spatial aliasing artifacts at capture and reproduction steps. While comparing a 50-node Lebedev grid with a Fliege and a t-design grid that both use almost the same number of nodes, it is shown that the Lebedev grid provides the best performance in terms of sound field capture and reproduction. Finally, a multi-band multi-order decoder is presented. These decoders take advantages of the inherent nested sub-grids when following the rotationally-invariant quadrature approach.