Table 1 ADMM-Based coding sequences optimization

1:  Input: x⁽⁰⁾, u⁽⁰⁾, σ², ρ, T

2:  Calculate the initial scaled factor β⁽⁰⁾ using Eq. (12)

3:  For t = 0 To T

4:   Update \({\tilde{{{{\bf{x}}}}}}^{t+1}\) using Eq. (10)

5:   Update \({{{{\bf{x}}}}}^{t+1}\) using Eq. (11)

6:   Update β^t+1 using Eq. (12)

7:   Update \({{{{\bf{u}}}}}^{t}\) using Eq. (9)

8:   t = t + 1

9:  End

10:  Output: \({{{\bf{x}}}}={{{{\bf{x}}}}}^{T}\)