Method for determining at least one filter of a filter bank of a transmission or coding system, corresponding device and computer program

摘要

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)=π4+t⁢∑k=0d-1⁢⁢βk⁢T2⁢k⁡(t);t=2⁢x-1.

主权项

1. A method of modulating symbols for transmission in a transmission system, said method comprising:
performing the following acts with a processing device:
determining coefficients p[k] of a prototype filter p for the transmission system, of length L equal to N, from Δ angle parameters θi, for 0≦i≦Δ−1 and integer Δ=N/M, expressed on the basis of a polynomial function ƒ(x), also referred to as a compact representation, such that:f⁡(x)=π4+t⁢∑k=0d-1⁢⁢βk⁢T2⁢k⁡(t)t=2⁢x-1 with:Tn(t) the Chebyshev polynomial of degree n;d the degree of the compact representation;βk the parameters of the compact representation;θi=ƒ(xi) withxi=2⁢i+12⁢Δ; p[i]=cos θi, p[M+i]=sin θi, for 0≦i≦Δ−1;p[k]=1, Δ≦k≦M−1;wherein M and N are integers representative of said transmission system, anddetermining filter coefficients of at least one filter of a filter bank for the transmission system using the determined coefficients p[k]; implementing the at least one filter of the filter bank using the filter coefficients in the transmission system; and modulating symbols for transmission using the at least one filter of the filter bank, which is configured with the filter coefficients.