Table 2 Description of the steps of the WED algorithm

Quantize the sequence r in Q levels, obtaining the sequences v and q

Construct the matrix A according to the binary representation of the sequence q

Decode the m rows of the matrix A by binary decoding obtaining the matrix A ^′

Get the vector f and compute $R_{\ell }^{\prime }$

Get the sets $S_0^i$ and $S_1^i$. Make comparisons $\sum _{\ell \in S_0^i}{R}_{\ell }^{\prime }{v}_{\ell }⪋\sum _{\ell \in S_1^i}{R}_{\ell }^{\prime }{v}_{\ell }$, obtaining $\widehat{\mathbf{x}}$