Comparative study of IQML and MODE direction-of-arrival estimators

We present a comparative study of using the iterative quadratic maximum likelihood (IQML) and the method of direction estimation (MODE) for direction-of-arrival (DOA) estimation of narrowband incident signals with a uniform linear array. The conditions for local convergence and the theoretical performance of IQML are derived. Although the DOA estimates obtained via MODE are asymptotically statistically efficient, we show that those obtained via IQML are almost always inconsistent and have (much) larger mean squared errors. We also show that the amount of computations required by IQML is usually much larger than that required by MODE, especially for low signal-to-noise ratio (SNR) and a large number of snapshots.

[1]  Jian Li,et al.  On the inconsistency of IQML , 1997, Signal Process..

[2]  P. Stoica,et al.  Novel eigenanalysis method for direction estimation , 1990 .

[3]  Bjorn Ottersten,et al.  Exact and Large Sample ML Techniques for Parameter Estimation and Detection in Array Processing , 1993 .

[4]  Yoram Bresler,et al.  Exact maximum likelihood parameter estimation of superimposed exponential signals in noise , 1986, IEEE Trans. Acoust. Speech Signal Process..

[5]  Ramdas Kumaresan,et al.  An algorithm for pole-zero modeling and spectral analysis , 1986, IEEE Trans. Acoust. Speech Signal Process..

[6]  Petre Stoica,et al.  Accuracy of high-order Yule-Walker methods for frequency estimation of complex sine waves , 1993 .

[7]  Louis L. Scharf,et al.  On the complexity of IQML algorithms , 1992, IEEE Trans. Signal Process..

[8]  P. Stoica,et al.  On the expectation of the product of four matrix-valued Gaussian random variables , 1988 .

[9]  Petre Stoica,et al.  Performance study of conditional and unconditional direction-of-arrival estimation , 1990, IEEE Trans. Acoust. Speech Signal Process..

[10]  Petre Stoica,et al.  Maximum likelihood methods for direction-of-arrival estimation , 1990, IEEE Trans. Acoust. Speech Signal Process..

[11]  James H. McClellan,et al.  Exact equivalence of the Steiglitz-McBride iteration and IQML , 1991, IEEE Trans. Signal Process..

[12]  Yingbo Hua The most efficient implementation of the IQML algorithm , 1994, IEEE Trans. Signal Process..