Algorithm for solving Eq.4 by ALM _
Input: TDr, $\stackrel{\rightharpoonup }{\alpha }$, and parameters λh (h = 1, …, H).
Initialization: ${\stackrel{\rightharpoonup }{\mu }}_r=0$, ${\stackrel{\rightharpoonup }{w}}_h^r=0(h=2,\dots ,H)$, ξ = 1.0, θmax = 104, η=10−4, and σ = 1.5.
While not converged do
1.	Fix others and update ${\stackrel{\rightharpoonup }{\mu }}_r$ by:   ${\stackrel{\rightharpoonup }{\mu }}_r=\text{arg}\underset{{\stackrel{\rightharpoonup }{\mu }}_r}{min}{\Vert \stackrel{\rightharpoonup }{\alpha }-{\displaystyle {\sum }_{h=2}^H{\mathit{E}}_h{\stackrel{\rightharpoonup }{w}}_h^r}\Vert }_2^2+{\lambda }_1•{\Vert {\stackrel{\rightharpoonup }{\mu }}_r\Vert }_1$
2.	h=2;
3.	while h < = H do
	Fix others and update ${\stackrel{\rightharpoonup }{w}}_h^r$ by:
	${\stackrel{\rightharpoonup }{w}}_h^r=\text{arg}\underset{{\stackrel{\rightharpoonup }{w}}_h}{min}{\Vert \stackrel{\rightharpoonup }{\alpha }-{\mathit{D}}_r{\stackrel{\rightharpoonup }{\mu }}_r-{\displaystyle {\sum }_{h^{\prime }=2,h^{\prime }\ne h}^H{\mathit{E}}_{h^{\prime }}{\stackrel{\rightharpoonup }{w}}_{h^{\prime }}^r}\Vert }_2^2+{\lambda }_h•{\Vert {\stackrel{\rightharpoonup }{w}}_h^r\Vert }_1$
	h = h+1;
end;
4.	Update the multipliers by:   $\varphi =\varphi +\theta \left(\stackrel{\rightharpoonup }{\alpha }-D_r{\stackrel{\rightharpoonup }{\mu }}_r-{\displaystyle {\sum }_{h=2}^H{E}_h{\stackrel{\rightharpoonup }{w}}_h^r}\right)$
5.	Update θ by θ=min (θmax,σ•θ)
6.	Check the converge condition: ${\Vert \stackrel{\rightharpoonup }{\alpha }-{\mathit{D}}_r{\stackrel{\rightharpoonup }{\mu }}_r-{\displaystyle {\sum }_{h=2}^H{\mathit{E}}_h{\stackrel{\rightharpoonup }{w}}_h^r}\Vert }_2^2<\eta$
End
Output: $\{{\stackrel{\rightharpoonup }{\mu }}_r,{\stackrel{\rightharpoonup }{w}}_2^r,\dots ,{\stackrel{\rightharpoonup }{w}}_H^r\}$