Method for cancelling multi-path signals for frequency-modulated radio signal receiver

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 a radio reception antenna that receives a plurality of radio signals corresponding to said emitted radio signal, said plurality of signals received by said antenna being composed of time-shifted radio signals resulting from a multi-path effect, said plurality of radio signals being intended to be combined in order to deliver a combined radio signal zn to be played, with zn=WnTYn at the time n, where Yn is a vector the components of which correspond to the plurality of received signals, expressed in complex baseband, and Wn is a vector the components of which correspond to complex weights intended to be attributed to each of the radio signals of said plurality of received radio signals, respectively, in order to form the combined radio signal zn in which a set of secondary radio signals resulting from the multi-path effect are canceled out, said method aiming to determine said complex components of said vector of complex weights and comprising:

• Introducing a temporal correlation between the real and imaginary parts of said complex weights, said correlation being dependent on the time shift between said signals of said plurality of received radio signals, by means of the expression of said complex weights in polar coordinates, so that
• Wn
• =
• [
• g
• o
• 
• exp
• 
• (
• j
• 
• 
• θ
• o
• )
• g
• 1
• 
• exp
• 
• (
• j
• 
• 
• θ
• 1
• )
• ⋮
• ⋮
• g
• K
• -
• 1
• 
• exp
• 
• (
• j
• 
• 
• θ
• K
• -
• 1
• )
• ]
• ,
• so as to incorporate an interdependence between the real and imaginary parts of said complex weights, and
• Implementing an iterative adaptation algorithm in order to determine the g0, g1, . . . , gk−1 and θ0, θ1, . . . , θk−1 able to keep constant over time the modulus of zn.