A method is provided for determining at least one filter of a filter bank in a transmission or coding system, on the basis of a prototype filter p. The method includes determining coefficients p[k] of the prototype filter p, of length L equal to N, from Δ angle parameters θi, for 0≦i≦Δ−1, expressed on the basis of a polynomial function ƒ(x), also referred to as a compact representation, such that: f ⁡ ( x ) = π 4 + t ⁢ ∑ k = 0 d - 1 ⁢ ⁢ β k ⁢ T 2 ⁢ k ⁡ ( t ) ; t = 2 ⁢ x - 1.