4
Farfield Array Signal Processing Algorithms
This chapter describes farfield array signal processing algorithms, including three low-resolution algorithms and three high-resolution algorithms. Before delving into the details of each algorithm, we introduce some definitions of array processing first.
A matrix of great importance in array signal processing is the array spatial data correlation matrix:
(4.1) ![]()
With the array model for multiple sources described in the previous chapter, we may write the matrix as

If noise is uncorrelated with the signal,
, and the noise is spatially white,
, then the data correlation matrix reduces to
(4.2) ![]()
where Rss is the source correlation matrix. In practical implementation, given N snapshots of array data, we may approximate the data correlation matrix by
(4.3) ![]()
where . Alternatively, we may compute the matrix by one-pole recursion
(4.4)
with . The choice ...