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Quaternion Two-Dimensional Common Factor Decomposition of Head Related Impulse Responses

Head related impulse response (HRIR) is the total filtering effect induced from the reflection and diffraction of head, torso and pinna. Quaternion is a number system that extends the complex numbers. In this paper, quaternion algebra is applied to exploit the similarities among HRIRs and construct the quaternion impulse response in 7 strategies. A novel quaternion-based two-dimensional common factor decomposition is developed to decompose the quaternion-HRIRs into azimuth and elevation factors. Two datasets are used for experiments. Results show the Q-2D-CFD could achieve better performance than 2D-CFD, also, the quaternion HRTF formation strategy which exploits the front-back similarity and interaural similarity outperforms other strategies.

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