Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Determining the Number of Discrete Alphabet Sources from Sensor Data | EURASIP Journal on Applied Signal Processing 2005 1 4-12 2005 Hindawi Publishing Corporation Determining the Number of Discrete Alphabet Sources from Sensor Data Eran Fishler Stern School of Business New York University NY 10012 USA Email Michael Grosman School of Electrical Engineering Tel Aviv University Tel Aviv 69978 Israel Email Hagit Messer School of Electrical Engineering Tel Aviv University Tel Aviv 69978 Israel Email messer@ Received 22 December 2003 Revised 10 June 2004 Determining the number of sources in a received wave field is a well-known and a well-investigated problem. In this problem the number of sources impinging on an array of sensors is to be estimated. The common approach for solving this problem is to use an information theoretic criterion like the minimum description length MDL or the Akaike information criterion. Under the assumption that the transmitted signals are Gaussian the MDL estimator takes both a simple and an intuitive form. Therefore this estimator is commonly used even when the signals are known to be non-Gaussian communication signals. However its ability to resolve signals resolution capacity is limited by the number of sensors minus one. In this paper we study the MDL estimator that is based on the correct non-Gaussian signal distribution of digital signals. We show that this approach leads to both improved performance and improved resolution capacity that is the number of signals that can be detected by the resulting MDL processor is larger than the number of array sensors. In addition a novel asymptotic performance analysis which can be used to predict the performance of the MDL estimator analytically is presented. Simulation results support the theoretical conclusions. Keywords and phrases MDL asymptotic analysis communication signals. 1. INTRODUCTION One of the fundamental problems in the field of array processing is to determine the number of signals
