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Table 1 Complexity comparison of different methods

From: Low complexity sparse beamspace DOA estimation via single measurement vectors for uniform circular array

Procedures

Complexity

 

â„“1-SVD

â„“1-SRACV

RB-MUSIC

BS- â„“1-SRSMVS

Beamspace transform

×

×

O((2He+1))MN)

O((2He+1))MN)

Covariance matrix

×

O(M2N)

O((2He+1)2N)

O((2He+1)2N)

EVD/SVD

O(M3)

O(M3)

O((2He+1)3)

O((2He+1)3)

Objective function

O(MQP+MP+QP+Q)

O(M3+M3Q+M2Q)

×

O((4He+1)2(2He+1)+(4He+1)(2He+1)Q)

Convex optimization

O((PQ)3)

O((MQ)3)

×

O(Q3)

Spectral search

×

×

O(2(2He+1)2Q−2(2He+1)PQ+(2He+1)Q)

×