Direction-of-Arrival Estimation for Constant Modulus Signals Using a Structured Matrix Recovery Technique
IEEE Trans. Wirel. Commun.(2023)
摘要
This paper addresses the problem of direction-of-arrival (DOA) estimation for
constant modulus (CM) source signals using a uniform or sparse linear array.
Existing methods typically exploit either the Vandermonde structure of the
steering matrix or the CM structure of source signals only. In this paper, we
propose a structured matrix recovery technique (SMART) for CM DOA estimation
via fully exploiting the two structures. In particular, we reformulate the
highly nonconvex CM DOA estimation problems in the noiseless and noisy cases as
equivalent rank-constrained Hankel-Toeplitz matrix recovery problems, in which
the Vandermonde structure is captured by a series of Hankel-Toeplitz block
matrices, of which the number equals the number of snapshots, and the CM
structure is guaranteed by letting the block matrices share a same Toeplitz
submatrix. The alternating direction method of multipliers (ADMM) is applied to
solve the resulting rank-constrained problems and the DOAs are uniquely
retrieved from the numerical solution. Extensive simulations are carried out to
corroborate our analysis and confirm that the proposed SMART outperforms
state-of-the-art algorithms in terms of the maximum number of locatable sources
and statistical efficiency.
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