One-dimensional MODE algorithm for two-dimensional frequency estimation (Q1367134)

A description of a computationally efficient one-dimensional method of direction estimation (1D-MODE) algorithm is presented, in case of estimation of 2-D complex sinusoid frequencies. In conditions of large spatial measurement volume the efficiency of the 1D-MODE algorithm is shown. Under the assumption of high signal-to-noise ratio the statistical efficiency of this algorithm is proven. When the number of temporal snapshots is large, it is shown that 1D-MODE algorithm is no longer statistically efficient, but its performance is close to the 2D-MODE algorithm under mild conditions. Numerical examples are given to illustrate the theoretical results.