The invention relates to a method for interpolating a sound field picked up by a plurality of N microphones each delivering the encoded sound field in a form comprising at minus a sensed pressure and an associated pressure gradient vector. Such a method comprising an interpolation of the sound field in an interpolation position delivering an interpolated encoded sound field expressed as a linear combination of the N encoded sound fields each weighted by a corresponding weighting factor. The interpolation includes an estimate of the N weighting factors from at least: the interpolation position; of a position of each of the N microphones; N pressures picked up by the N microphones; and an estimated sound field strength at the interpolation position. Figure for the abstract: [Fig. 2]
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