Abstract
We present a new method of estimating the Chirp signal parameter based on fractional Fourier transform (FRFT). The slope of the Chirp single is firstly estimated using FRFT according to its expectation. By redefining the variable meaning of the FRFT and the improved FRFT, the time-delay of multiple Chirp signals is estimated. The validity of the methods is demonstrated through simulations, and the proposed methods can achieve both high accuracy and less calculation.
This work is supported in part by the National Natural Science Foundation of China under the Grant 51075175
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Cadzow JA (1982) Spectral estimation: an over determined rational model equation approach. IEEE Process pp 907–939
Guohua W, Siliang W, Mao E (2003) Differential evolution for target motion parameter estimation. In: Proceeding of the 2003 international conference on neural network and signal processing, pp 563–566
Prior MK (2009) Estimation of K-distribution shape parameter from sonar data: sample size limitations. IEEE J Oceanic Eng 34(1):45–50
Chan Y, Riley J, Plant J (1980) A parameter estimation approach to time-delay estimation and signal detection. IEEE Trans Acoust Speech Signal Process 8–16
Krim H, Viberg M (1996) Two decades of array signal processing research. IEEE Signal Process Mag 13(4):67–94
Abatzoglou T (1986) Fast maximum likelihood joint estimation of frequency and frequency rate. In acoustics, speech, and signal processing, IEEE international conference on ICASSP ‘86
Besson O, Ghogho M, Swami A (1999) Parameter estimation for random amplitude chirp signals. IEEE Trans Signal Process 47(12):3208–3219
Kay S, Boudreaux-Bartels G (1985) On the optimality of the Wigner distribution for detection. In: IEEE international conference on acoustics, speech, and signal processing, ICASSP ‘85
Barbarossa S (1995) Analysis of multicomponent LFM signals by a combined Wigner-Hough transform. IEEE Trans Signal Process 43(6):1511–1515
Almeida LB (1994) The fractional Fourier transform and time-frequency representations. IEEE Trans Signal Process 42(11):3084–3091
Almeida LB (1994) The fractional fourier transform and time-frequency representations. IEEE Trans Signal Process 11:3084–3091
Tao Ran, Li X-M, Li Y-L, Wang Y (2009) Time-delay estimation of chirp signals in the fractional fourier domain. IEEE Trans Signal Process 7:2852–2855
De Clercq EM, De Wulf RR (2007) Estimating fuzzy membership function based on RMSE for the positional accuracy of historical maps. International workshop on the analysis of multi-temporal remote sensing images, pp 1–5
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Yang, W., Shi, Y. (2013). Parameter Estimation of Chirp Signals Based on FRFT Under the Low SNR. In: Lu, W., Cai, G., Liu, W., Xing, W. (eds) Proceedings of the 2012 International Conference on Information Technology and Software Engineering. Lecture Notes in Electrical Engineering, vol 210. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34528-9_57
Download citation
DOI: https://doi.org/10.1007/978-3-642-34528-9_57
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34527-2
Online ISBN: 978-3-642-34528-9
eBook Packages: EngineeringEngineering (R0)