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

EURASIP Journal on Advances in Signal Processing

Table 3 Delay estimation procedure

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