  Acoustic velocity vectors (AVVs) are related to the human's perception of
sound at low frequencies and are widely used in Ambisonics. This paper proposes
a spatial sound field reproduction algorithm called velocity matching, which
reproduces the AVVs in the spherical listening region by matching the AVVs'
spherical harmonic coefficients. Using the sound field translation formula, the
spherical harmonic coefficients of the AVVs are derived from the spherical
harmonic coefficients of the pressure, which can be measured by a higher-order
microphone array. Unlike algorithms that only control the AVVs at discrete
sweet spots, the proposed velocity matching algorithm manipulates the AVVs in
the whole spherical listening region and allows the listener to move beyond the
sweet spots. Simulations show the proposed velocity matching algorithm
accurately reproduces the AVVs in the spherical listening region and requires
fewer number of loudspeakers than pressure matching algorithm.
