Sparse space-time equalization with L1 norm

Space-time adaptive equalizers are an important part of multiple-input multiple-output (MIMO) communication systems operating in multi-path environments. Traditional methods of producing adaptive equalizers using short training sequence lengths suffer performance loss, and do not take advantage of known properties of the channel, such as sparsity. We discuss an iterative shrinkage algorithm which utilizes the ℓ₁ norm as a procedure to estimate a sparse equalizer. We present simulation results of this algorithm and make comparisons to traditional methods.