Statistical Performance Analysis of MDL Source Enumeration in Array Processing

• Published in: IEEE transactions on signal processing Vol. 58; no. 1; pp. 452 - 457
• Main Authors: Haddadi, F., Malek-Mohammadi, M., Nayebi, M.M., Aref, M.R.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-01-2010; Institute of Electrical and Electronics Engineers
• Subjects: Analytical models; Applied sciences; Array signal processing; Deterministic signal; Direction of arrival estimation; Eigenvalues and eigenfunctions; Exact sciences and technology; Information, signal and communications theory; minimum description length (MDL); Miscellaneous; Performance analysis; Probability; Sensor arrays; Signal processing; source enumeration; Stochastic processes; Stochastic resonance; Telecommunications and information theory; Performance evaluation; Statistical method; Stochastic model; Array signal processing; Simulation; minimum description length (MDL); source enumeration; MDL criterion; Signal processing; Deterministic signal; Stochastic signal; performance analysis
• ISSN: 1053-587X; 1941-0476
• DOI: 10.1109/TSP.2009.2028207

In this correspondence, we focus on the performance analysis of the widely-used minimum description length (MDL) source enumeration technique in array processing. Unfortunately, available theoretical analysis exhibit deviation from the simulation results. We present an accurate and insightful performance analysis for the probability of missed detection. We also show that the statistical performance of the MDL is approximately the same under both deterministic and stochastic signal models. Simulation results show the superiority of the proposed analysis over available results.