Abstract
Based on the fractional Fourier transform, a time-delay estimator of chirp signals was proposed by Tao in 2009. In this paper, compression performance of the time-delay estimator is discussed in the fractional Fourier domain, referring to linear frequency-modulated pulse compression in the time domain. We find: (a) the pulse-width compression ratio is the product of time duration and band width, denoted as D; (b) the peak amplitude ratio is about D 1/2 when the absolute value of chirp rate is large enough. The conclusions help to the further application of this time-delay estimator based on the FRFT.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Tao, R., Li, X.-M., Li, Y.-L., et al.: Time Delay Estimation of Chirp Signals in the Fractional Fourier Domain. IEEE Trans. Signal Processing 57, 2852–2855 (2009)
Ozaktas, H.M., Kutay, M.A., Zalevsky, Z.: The fractional Fourier transform with Applications in Optics and Signal Processing. John Wiley & Sons, New York (2000)
Skolnik, M.I.: Introduction to radar systems (third edition), 3rd edn. McGraw-Hill Companies, New York (2001)
Tao, R., Deng, B., Wang, Y.: Research progress of the fractional Fourier transform in signal processing. Science in China (Ser.F, Information Science) 49, 1–25 (2006)
Ozaktas, H.M., Arikan, O., Kutay, M.A., et al.: Digital computation of the fractional Fourier transform. IEEE Trans. Signal Processing 44, 2141–2150 (1996)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bing, D., Mei-ping, X., Hong-xing, W. (2011). Compression Performance of Wide-Band Chirp Pulse in the Fractional Fourier Domain. In: Wan, X. (eds) Electrical Power Systems and Computers. Lecture Notes in Electrical Engineering, vol 99. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21747-0_41
Download citation
DOI: https://doi.org/10.1007/978-3-642-21747-0_41
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21746-3
Online ISBN: 978-3-642-21747-0
eBook Packages: EngineeringEngineering (R0)