Correction

In our paper Distributed beamforming designs to improve physical layer security in wireless relay networks[1], several equations should be corrected as indicated below.

In section 2.1 ‘Amplify-and-forward’, the equation included in the paragraph above Equation (2) incorrectly read as follows: t i  = w i ρ i r i

This equation should read correctly as follows: t i  = w i *ρ i r i

In section 2.2 ‘Decode-and-forward’, the equation included in the paragraph above Equation (4) incorrectly read as follows: t i  = w i s

This equation should read correctly as follows: t i  = w i *s

In Equations (2–5), (7–8) and (25–26), wT is incorrectly included. In all of these equations wT should be replaced with wH.