Smart Ocean: A New Fast Deconvolved Beamforming Algorithm for Multibeam Sonar

. 2018 Nov 17;18(11):4013. doi: 10.3390/s18114013

Algorithm 1: R–L algorithm.

Initialization:

{\hat{S}}_{0} = F

(or

{\hat{S}}_{0} = {[1, 1, \dots, 1]}_{1 \times N}^{T}

N

is the number of elements of

{\hat{S}}_{0}

or the number of beams.
for

k

= 1, 2, 3, …
{

{\hat{F}}_{k} = F_{p} \otimes {\hat{S}}_{k}

; Estimate F at the iteration time

k

{\hat{S}}_{k + 1} = {\hat{S}}_{k} (F_{p} * \frac{F}{{\hat{F}}_{k}})

; Estimate S at the iteration time

k + 1

}