A fast algorithm for estimating the parameters of a quadratic FM signal

By P. O'Shea. IEEE Transactions on Signal Processing, 2004

295 citations recorded by the source corpus.

This paper describes a fast algorithm that can be used for estimating the parameters of a quadratic frequency modulated (FM) signal. The proposed algorithm is fast in that it requires only one-dimensional (1-D) maximizations. The optimal maximum likelihood method, by contrast, requires a three-dimensional (3-D) maximization, which can only be realized with an exhaustive 3-D grid search. Asymptotic statistical results are derived for all the estimated parameters. The amplitude estimate is seen to be optimal, whereas the phase parameters are, in general, suboptimal. Of the four phase parameter estimates, two approach optimality as the signal-to-noise ratio (SNR) tends to infinity. The other two have mean-square errors that are within 50% of the theoretical lower bounds for high SNR. Simulations are provided to support the theoretical results. Extensions to multiple components and higher order FM signals are also discussed.

Subfields: Civil and Structural Engineering, Control and Systems Engineering, Signal Processing

View Paper: https://www.semanticscholar.org/paper/c2572221ddb9ebaa463293a7e166e65248f92ca8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Braham Himed
2. Igor Djurovic
3. Pu Wang
4. Hongbin Li

In Control and Systems Engineering

1. Braham Himed
2. Igor Djurovic
3. Pu Wang
4. Hongbin Li

In Signal Processing

1. Braham Himed
2. Igor Djurovic
3. Pu Wang
4. Hongbin Li

Citations in the corpus

• Integrated Cubic Phase Function for Linear FM Signal Analysis (2010, methodology): “The computational complexity of the CPF is O(N log2N) [19].”
• Radar Maneuvering Target Motion Estimation Based on Generalized Radon-Fourier Transform (2012, background): “Therefore, many sub-optimal methods, e.g., discrete polynomial transform (DPT) [11]–[13] or the high-order ambiguity function (HAF) [14], [15], polynomial Wigner-Ville distribution (PWVD) [16], instantaneous frequency rate (IFR) [17] and high-order phase function (HPF) [18], [19] have been proposed ”