A method for decreasing multi-path interference, for implementation thereof in a vehicle radio receiver, said radio receiver being intended to receive an emitted radio signal and comprising at least two radio reception antennas that each receive a plurality of radio signals corresponding to said emitted radio signal, each of said plurality of signals received by each of said antennas being composed of time-shifted radio signals resulting from a multi-path effect, said plurality of radio signals being combined to deliver a combined radio signal yn to be played, with yn==WnT[G1,nS, X1,n+G2,nS, X2,n] at the time n, where X1 is a vector the components of which correspond to a plurality of signals received by a first antenna, expressed in complex baseband, X2 is a vector the components of which correspond to the plurality of signals received by a second antenna, expressed in complex baseband, G1,nS and G2,nS are scalars the components of which are the complex weights of a spatial filter and WnT is the transpose matrix of a vector the components of which are the complex weights of a temporal filter, said method comprising:
- the implementation of an iterative adaption algorithm to determine said complex weights of the spatial filter and said complex weights of the temporal filter, wherein the respective variations in the components of the matrix the components of which form the complex weights of the temporal filter and in the components of the scalars the components of which form the complex weights of a spatial filter are written:
- W
- n
- +
- 1
- t
- =
- W
- n
- t
- -
- μ
- W
-
-
-
- y
- n
-
- -
- R
-
- y
- n
-
-
- y
- n
- _
-
- (
- G
- 1
- ,
- n
- s
- _
-
- X
- 1
- ,
- n
- +
- G
- 2
- ,
- n
- s
- _
-
- X
- 2
- ,
- n
- )
- G
- 1
- ,
- n
- +
- 1
- s
- =
- G
- 1
- ,
- n
- s
- -
- μ
- G
-
-
- 1
-
-
-
- y
- n
-
- -
- R
-
- y
- n
-
-
- y
- n
- _
-
- (
- W
- n
- t
- _
- )
- T
-
- X
- 1
- ,
- n
- G
- 2
- ,
- n
- +
- 1
- s
- =
- G
- 2
- ,
- n
- s
- -
- μ
- G
-
-
- 2
-
-
-
- y
- n
-
- -
- R
-
- y
- n
-
-
- y
- n
- _
-
- (
- W
- n
- t
- _
- )
- T
-
- X
- 2
- ,
- n
- where μW, μG1, μG2 are iterative steps chosen for the update of the gains and phases of each of the complex weights.