Principles and Applications of RELAX: A Robust and Universal Estimator by Renbiao Wu & Qiongqiong Jia & Lei Yang & Qing Feng

Author:Renbiao Wu & Qiongqiong Jia & Lei Yang & Qing Feng
Language: eng
Format: epub
ISBN: 9789811369322
Publisher: Springer Singapore

5.2.2 Data Model

Considering that the array antenna is a M-element ULA, and has P narrow-band plane wave incident signals, the array’s received data vector can be expressed as

(5.18)

In (5.18), N represents the number of snapshots; represents the noise vector; represents the signal waveform of the pth signal; and represents the steering vector of the pth signal.

The signal waveform vector is modeled as a deterministic unknown signal [38–40]. From snapshot data , we are interested in estimating , and with (n = 0, 1, …, N − 1). For the received multiple signals, the correlation coefficient (or cross-correlation coefficient) is usually used to measure the similarity between the signals. For two stationary signals and the correlation coefficient is defined as

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