Direction of Arrival Estimation in Elliptical Models via Sparse Penalized Likelihood Approach

. 2019 May 22;19(10):2356. doi: 10.3390/s19102356

Algorithm 2 The MM1-SPICE algorithm for spatially non-uniform white noise.

1:
Give $r_{0}$ and $ϵ$ ,
2:
$u = 0$ ,
3:
repeat
4:
$W_{u} = B Diag (r_{u}) B^{H} + J_{m}$ ,
5:
Calculate $M_{u}$ and $w_{u}$ ,
6:
$d = 0$ ,
7:
$r^{0} = r_{u}$ ,
8:
repeat
9:
$W^{d} = B Diag (r^{d}) B^{H} + J_{m}$ ,
10:
$r^{d + 1} = sqrt (diag (Diag (r^{d}) B^{H} {(W^{d})}^{- 1} M_{u} {(W^{d})}^{- 1} B Diag (r^{d})) ⊘ w_{u})$ ,
11:
$d = d + 1$ ,
12:
until $∥ r^{d} - r^{d - 1} ∥_{2} / {∥ r^{d - 1} ∥}_{2} < ϵ$ ,
13:
$u = u + 1$ ,
14:
$r_{u} = r^{d}$ ,
15:
until $∥ r_{u} - r_{u - 1} ∥_{2} / {∥ r_{u - 1} ∥}_{2} < ϵ$ .