2-D unitary matrix pencil method for efficient direction of arrival estimation
Digital Signal Processing
Computationally efficient 2D beamspace matrix pencil method for direction of arrival estimation
Digital Signal Processing
Detecting the number of 2-D harmonics in multiplicative and additive noise using enhanced matrix
Digital Signal Processing
Noise space decomposition method for two-dimensional sinusoidal model
Computational Statistics & Data Analysis
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A new method, called the matrix enhancement and matrix pencil (MEMP) method, is presented for estimating two-dimensional (2-D) frequencies. In the MEMP method, an enhanced matrix is constructed from the data samples, and then the matrix pencil approach is used to extract out the 2-D sinusoids from the principal eigenvectors of the enhanced matrix. The MEMP method yields the estimates of the 2-D frequencies efficiently, without solving the roots of a 2-D polynomial or searching in a 2-D space. It is shown that the MEMP method can be faster than a 2-D FFT method if the number of the 2-D sinusoids is much smaller than the data set. Simulation results are provided to show that the accuracy of the MEMP method can be very close to the Cramer-Rao lower bound