To estimate the number of incoming signals is a very difficult task because there is
unknown number of incident signals impinging on the antenna array simultaneously with
unknown directions and with unknown amplitudes. The received signal is corrupted with
noise also. There are several methods to estimate the number of signals and their directions
(Honghao and Sven Nordebo, 2014; and Direction of Arrival Estimation).
The DOA estimation method (Schmidt, 1986; Rao and Hari, 1989; Lal, 1996; Hamid
and Mats, 1996; Van, 2002; Khan et al., 2008; Andy and Arpad, 2010; Reaz et al., 2012;
Honghao and Sven, 2014; and Direction of Arrival Estimation) estimates the linear spectrum
which is based on the method of Fourier transform. This basically includes the periodogram
method (Honghao Tang and Sven Nordebo, 2014; and Direction of Arrival Estimation). The periodogram method was affected by the Rayleigh limit. This could not acquire a high
resolution performance or resist the noise, so it did not obtain satisfactory performance.
After that the research was in the field of DOA estimation based on the statistical analysis
of Maximum Likelihood (ML) spectrum estimation. This method has a high resolution
performance and robust character. The method needs to search for a high dimensional
parameter, which requires more calculations. Therefore, this method is not put into practice.
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