The four signals of the non-coincident directional capsules, composing an Ambisonics microphone are combined in order to render resulting decoded signals with desired directional and diffuse responses. While the directional responses are derived from first order microphone patterns, the responses to diffuse sound are described using the cross-correlation coefficient, as a function of frequency, between the various microphone signal pairs.
The cross-correlation coefficient between the two signals of a microphone pair, in a diffuse sound field, is an important parameter when using multiple microphones systems, trying to control, attenuate or enhance the diffuse sound. Its properties, for first order and Nth-order differential microphone signals, have been investigated in detail. However when considering multiple non-coincident directional microphones, the resulting cross-correlation coefficient of two decoded signals will not follow the same properties. The corresponding cross-correlation coefficient is quantitively derived and its characteristics are further discussed in terms of application in Ambisonics signal manipulation.
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