A method suppresses interference in a time-frequency hopped, ultra wide bandwidth system. Signals corresponding to a transmitted symbol are received. The received signals are frequency demodulated, and a coefficient vector w that minimizes a cost function C ⁡ ( w n ) = 1 ∑ k ⁢ λ  n - k  ⁢ ∑ k ⁢ λ  n - k  ⁢ ⁢  w n H ⁢ x k - c k  2 , is estimated, where λ is a weighting factor between 0, x is a vector representing the received signals, H is a frequency response of a channel used to transmit the symbol, and c is a known training symbol. A coefficient vector, ŵn={circumflex over (R)}n−1{circumflex over (d)}n, is determined, where a correlation matrix for the received signals is R ^ n = 1 ∑ k ⁢ λ  n - k  ⁢ ∑ k ⁢ λ  n - k  ⁢ ⁢ x k ⁢ x k H , and an estimate of a crosscorrelation is d ^ n = 1 ∑ k ⁢ λ  n - k  ⁢ ∑ k ⁢ λ  n - k  ⁢ ⁢ x k ⁢ c k * . The received signals are then combined according to c ^ n = 1 C ⁡ ( w ^ n ) ⁢ w ^ n H ⁢ x n = 1 1 - w ^ n H ⁢ ⁢ d ^ n ⁢ w ^ n H ⁢ x n .