Acceleration-invariance of hyperbolic frequency modulated pulse compression
J. Yang, T. K. Sarkar
Department of Electrical Engineering & Computer Science
It is well known that hyperbolic frequency modulated waveform is Doppler-invariant. However it suffers severe distortion when the velocity of the target is not constant. In this paper we demonstrate that the acceleration of the target results in a frequency shift which is the source of the signal distortion under the assumption that the acceleration is constant and along the direction of the velocity. Therefore the frequency-shifted version of the matched filter can be applied to eliminate the mismatch between the reflected signal and the matched filter caused by the acceleration of the target. An example of rectangular envelope hyperbolic frequency modulated pulse is presented to illustrate the effect of the acceleration on signal distortion and a bank of filters with selected value of frequency shift are applied to the distorted waveform to improve the compression of the pulse. The simulation also illustrates that the noise performance of the pulse compression is not affected by the frequency shift scheme.
Digital Signal Processing: A Review Journal
https://doi.org/10.1016/j.dsp.2007.01.005
Acceleration-invariance
Hyperbolic frequency modulation
Pulse compression
10.1016/j.dsp.2007.01.005
Dive into the research topics of 'Acceleration-invariance of hyperbolic frequency modulated pulse compression'. Together they form a unique fingerprint.
Pulse Compression Mathematics 100%
Pulse compression Engineering & Materials Science 72%
Invariance Business & Economics 62%
Compression Business & Economics 61%
Signal distortion Engineering & Materials Science 35%
Matched filters Engineering & Materials Science 31%
Matched Filter Mathematics 28%
Filter Business & Economics 27%
Yang, J., & Sarkar, T. K. (2008). Acceleration-invariance of hyperbolic frequency modulated pulse compression. Digital Signal Processing: A Review Journal, 18(2), 228-235. https://doi.org/10.1016/j.dsp.2007.01.005
Acceleration-invariance of hyperbolic frequency modulated pulse compression. / Yang, J.; Sarkar, T. K.
In: Digital Signal Processing: A Review Journal, Vol. 18, No. 2, 03.2008, p. 228-235.
Yang, J & Sarkar, TK 2008, 'Acceleration-invariance of hyperbolic frequency modulated pulse compression', Digital Signal Processing: A Review Journal, vol. 18, no. 2, pp. 228-235. https://doi.org/10.1016/j.dsp.2007.01.005
Yang J, Sarkar TK. Acceleration-invariance of hyperbolic frequency modulated pulse compression. Digital Signal Processing: A Review Journal. 2008 Mar;18(2):228-235. https://doi.org/10.1016/j.dsp.2007.01.005
Yang, J. ; Sarkar, T. K. / Acceleration-invariance of hyperbolic frequency modulated pulse compression. In: Digital Signal Processing: A Review Journal. 2008 ; Vol. 18, No. 2. pp. 228-235.
@article{420f0914343a49da8bdf3ae8b0e22bc0,
title = "Acceleration-invariance of hyperbolic frequency modulated pulse compression",
abstract = "It is well known that hyperbolic frequency modulated waveform is Doppler-invariant. However it suffers severe distortion when the velocity of the target is not constant. In this paper we demonstrate that the acceleration of the target results in a frequency shift which is the source of the signal distortion under the assumption that the acceleration is constant and along the direction of the velocity. Therefore the frequency-shifted version of the matched filter can be applied to eliminate the mismatch between the reflected signal and the matched filter caused by the acceleration of the target. An example of rectangular envelope hyperbolic frequency modulated pulse is presented to illustrate the effect of the acceleration on signal distortion and a bank of filters with selected value of frequency shift are applied to the distorted waveform to improve the compression of the pulse. The simulation also illustrates that the noise performance of the pulse compression is not affected by the frequency shift scheme.",
keywords = "Acceleration-invariance, Hyperbolic frequency modulation, Pulse compression",
author = "J. Yang and Sarkar, {T. K.}",
doi = "10.1016/j.dsp.2007.01.005",
journal = "Digital Signal Processing: A Review Journal",
T1 - Acceleration-invariance of hyperbolic frequency modulated pulse compression
AU - Yang, J.
AU - Sarkar, T. K.
N2 - It is well known that hyperbolic frequency modulated waveform is Doppler-invariant. However it suffers severe distortion when the velocity of the target is not constant. In this paper we demonstrate that the acceleration of the target results in a frequency shift which is the source of the signal distortion under the assumption that the acceleration is constant and along the direction of the velocity. Therefore the frequency-shifted version of the matched filter can be applied to eliminate the mismatch between the reflected signal and the matched filter caused by the acceleration of the target. An example of rectangular envelope hyperbolic frequency modulated pulse is presented to illustrate the effect of the acceleration on signal distortion and a bank of filters with selected value of frequency shift are applied to the distorted waveform to improve the compression of the pulse. The simulation also illustrates that the noise performance of the pulse compression is not affected by the frequency shift scheme.
AB - It is well known that hyperbolic frequency modulated waveform is Doppler-invariant. However it suffers severe distortion when the velocity of the target is not constant. In this paper we demonstrate that the acceleration of the target results in a frequency shift which is the source of the signal distortion under the assumption that the acceleration is constant and along the direction of the velocity. Therefore the frequency-shifted version of the matched filter can be applied to eliminate the mismatch between the reflected signal and the matched filter caused by the acceleration of the target. An example of rectangular envelope hyperbolic frequency modulated pulse is presented to illustrate the effect of the acceleration on signal distortion and a bank of filters with selected value of frequency shift are applied to the distorted waveform to improve the compression of the pulse. The simulation also illustrates that the noise performance of the pulse compression is not affected by the frequency shift scheme.
KW - Acceleration-invariance
KW - Hyperbolic frequency modulation
KW - Pulse compression
U2 - 10.1016/j.dsp.2007.01.005
DO - 10.1016/j.dsp.2007.01.005
JO - Digital Signal Processing: A Review Journal
JF - Digital Signal Processing: A Review Journal