The method uses the technique of CELP coding with algebraic codebook. The search for the CELP excitation includes a calculation of certain components of the covariance matrix U=H.sup.T .multidot.H where H denotes a lower triangular Toeplitz matrix formed on the basis of the impulse response of a compound filter made up of synthesis filters and of a perceptual weighting filter. The memory-stored components of the covariance matrix are only those of the form U(pos.sub.i,p,pos.sub.i,p) and those of the form U(pos.sub.i,p, pos.sub.j,q), pos.sub.i,p and pos.sub.j,q respectively denoting position i and position j for the pulses p and q in the codes of the algebraic codebook.
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