PARALIND-based blind joint angle and delay estimation for multipath signals with uniform linear array

EURASIP Journal on Advances in Signal Processing

Table 2 Angle estimation procedure

*Loop:*	m = 1 to M
	Construct sub-matrices ${\hat{A}}_{θ, 1}^{m}$ and ${\hat{A}}_{θ, 2}^{m}$
	$\begin{array}{l} {\hat{A}}_{θ, 1}^{m} = {\hat{A}}_{θ}^{m} (1 : K - 1, :) {\hat{A}}_{θ, 2}^{m} = {\hat{A}}_{θ}^{m} (2 : K, :) \end{array}$
	Calculate eigenvalue of ${({\hat{A}}_{θ, 1}^{m})}^{†} {\hat{A}}_{θ, 2}^{m} {\hat{D}}_{m}$
	$= eigs ({({\hat{A}}_{θ, 1}^{m})}^{†} {\hat{A}}_{θ, 2}^{m})$
	Calculate the estimation of angles
	$\begin{aligned} {\hat{θ}}_{m} & = {[{\hat{θ}}_{m, 1}, \dots, {\hat{θ}}_{m, r_{m}}]}^{T} \\ = arcsin (\frac{imag (- In ({\hat{D}}_{m})) λ}{2 π d}) \end{aligned}$
*end loop*