Patent ID: 7561639

Claim:
A method for estimating channel properties of a transmission channel, comprising: sampling a signal received via the transmission channel to obtain corresponding sampled values; ascertaining a plurality of moments of the received signal from the sampled values; determining parameters of a transmission function of the transmission channel from the plurality of moments; and ascertaining the channel properties of the transmission channel with the aid of the transmission function, wherein the transmission function H(p) of the transmission channel has the form H ⁡ ( p ) = a 0 + a 1 ⁢ p + a 2 ⁢ p 2 + a 3 ⁢ p 3 + … + a n ⁢ p n b 0 + b 1 ⁢ p + b 2 ⁢ p 2 + b 3 ⁢ p 3 + … + b n ⁢ p n , and in that the coefficients a i and b i are determined from the moments m i ascertained, where i=0,1 . . . n, in accordance with the following equations: ( b 1 b 2 ⋮ b n - 2 b n - 1 b n ) = - ( m ~ n m ~ n - 1 ⋯ m ~ 3 m ~ 2 m ~ 1 m ~ n + 1 m ~ n ⋯ m ~ 4 m ~ 3 m ~ 2 m ~ n + 2 m ~ n + 1 ⋯ m ~ 5 m ~ 4 m ~ 3 ⁢ m ~ 2 ⁢ n - 3 m ~ 2 ⁢ n - 4 ⋯ m ~ n m ~ n - 1 m ~ n - 2 m ~ 2 ⁢ n - 2 m ~ 2 ⁢ n - 3 ⋯ m ~ n + 1 m ~ n m ~ n - 1 m ~ 2 ⁢ n - 1 m ~ 2 ⁢ n - 2 ⋯ m ~ n + 2 m ~ n + 1 m ~ n ) - 1 ⁢ ( m ~ n + 1 m ~ n + 2 m ~ n + 3 ⋮ m ~ 2 ⁢ n - 2 m ~ 2 ⁢ n - 1 m ~ 2 ⁢ n ) and ⁢ ( a 0 a 1 a 2 ⋮ a n - 2 a n - 1 a n ) = ( 0 0 ⋯ 0 0 0 m ~ 0 0 ⋯ 0 0 0 m ~ 1 m ~ 0 ⋯ 0 0 0 ⋰ m ~ n - 3 m ~ n - 4 ⋯ m ~ 0 0 0 m ~ n - 2 m ~ n - 3 ⋯ m ~ 1 m ~ 0 0 m ~ n - 1 m ~ n - 2 ⋯ m ~ 2 m ~ 1 m ~ 0 ) ⁢ ( b 1 b 2 ⋮ b n - 2 b n - 1 b n ) + ( m ~ 0 m ~ 1 m ~ 2 ⋮ m ~ n - 2 m ~ n - 1 m ~ n ) , wherein {tilde over (m)} i =(−1) i m i , applies.