Patent ID: 8774294

Claim:
A method for receiving a wireless Orthogonal Frequency Division Multiplexing (OFDM) signals, comprising: obtaining a channel estimate by performing compressed sensing channel estimation on an OFDM signal reconstructed as a sparse signal in a delay-Doppler domain, wherein at least some pilot subcarriers of the OFDM signal are uniformly allocated at a specific interval, wherein obtaining a channel estimate by performing compressed sensing channel estimation comprises: obtaining pilot signals g P from the channel using a least-squares estimator; and using the obtained pilot signals to recover a delay-Doppler domain channel vector {circumflex over (σ)} by solving the following optimization problem: min σ ⁢  σ  l 1 ⁢ subject ⁢ ⁢ to ⁢ ⁢ g p = W p ⁢ σ , wherein σ is a vector in the delay-Doppler domain, wherein w p is a sensing matrix, wherein ∥σ∥ l 1 is a l 1 -norm of the vector σ in the delay-Doppler domain; and determining a correct tap value from a plurality of replicas, based on a combination of sub sampling results providing alias signals with the plurality of replicas and channel estimate tap locations.