Loading [MathJax]/extensions/TeX/upgreek.js
Unitary PUMA Algorithm for Estimating the Frequency of a Complex Sinusoid | IEEE Journals & Magazine | IEEE Xplore

Unitary PUMA Algorithm for Estimating the Frequency of a Complex Sinusoid


Abstract:

One-dimensional (1-D) and two-dimensional (2-D) frequency estimation for a single complex sinusoid in white Gaussian noise is a classic signal processing problem with num...Show More

Abstract:

One-dimensional (1-D) and two-dimensional (2-D) frequency estimation for a single complex sinusoid in white Gaussian noise is a classic signal processing problem with numerous applications. It is revisited here through a new unitary principal-singular-vector utilization modal analysis (PUMA) approach, which is realized in terms of real-valued computations. The 2-D unitary PUMA is first formulated as an iteratively weighted least squares optimization problem. Recognizing that only one iteration is sufficient when 2-D unitary PUMA is initialized using least squares, a computationally attractive closed-form solution is then obtained. A variant of 2-D unitary PUMA is also developed for the 1-D case. Due to the real-valued computations and closed-form expression for the frequency estimate, the unitary PUMA is more computationally efficient than a number of state-of-the-art methods. Furthermore, the asymptotic variances of 1-D and 2-D unitary PUMA estimators are theoretically derived, and numerical results are included to demonstrate the effectiveness of the proposed methods.
Published in: IEEE Transactions on Signal Processing ( Volume: 63, Issue: 20, October 2015)
Page(s): 5358 - 5368
Date of Publication: 08 July 2015

ISSN Information:


References

References is not available for this document.