{"id":441264,"date":"2017-11-17T12:19:25","date_gmt":"2017-11-17T20:19:25","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/?post_type=msr-research-item&#038;p=441264"},"modified":"2018-10-26T14:42:03","modified_gmt":"2018-10-26T21:42:03","slug":"comparing-modeled-and-measurement-based-spherical-harmonic-encoding-filters-for-spherical-microphone-arrays","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/comparing-modeled-and-measurement-based-spherical-harmonic-encoding-filters-for-spherical-microphone-arrays\/","title":{"rendered":"Comparing Modeled and Measurement-Based Spherical Harmonic Encoding Filters for Spherical Microphone Arrays"},"content":{"rendered":"<p>Spherical microphone array processing is commonly performed in a spatial transform domain, due to theoretical and practical advantages related to sound field capture and beamformer design and control. Multichannel encoding filters are required to implement a discrete spherical harmonic transform and extrapolate the captured sound field coefficients from the array radius to the far field. These spherical harmonic encoding filters can be designed based on a theoretical array model or on measured array responses. Various methods for both design approaches are presented and compared, and differences between modeled and measurement-based filters are investigated. Furthermore, a flexible filter design approach is presented that combines the benefits of previous methods and is suitable for deriving both modeled and measurement-based filters.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Spherical microphone array processing is commonly performed in a spatial transform domain, due to theoretical and practical advantages related to sound field capture and beamformer design and control. Multichannel encoding filters are required to implement a discrete spherical harmonic transform and extrapolate the captured sound field coefficients from the array radius to the far field. 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