A method for transforming received signals of a microphone array into driving signals of a loudspeaker array for sound field reproduction is needed to achieve real-time sound field transmission systems from the far-end to the near-end. We recently proposed a transform method using planar or linear microphone and loudspeaker arrays in the spatio-temporal frequency domain, which is more efficient than conventional methods based on a least squares algorithm. In this method, the directivity of loudspeakers in the array is assumed to be omni-directional to derive the transform filter. However the directivity of common loudspeakers is not always omni-directional, especially at high frequencies. We therefore propose a transform method that takes into consideration the directivity of loudspeakers in the array, which is derived using analytical and numerical approaches. Numerical simulation results indicated that the accurately reproduced region of the proposed method was larger than that of the method with an omni-directional assumption
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