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A cubic-phase function evaluation technique for multicomponent frequency-modulated signals with non-overlapped components in the time–frequency (TF) plane is proposed. The proposed technique is based on the short-time Fourier transform. Cross-terms are removed or reduced in the same manner as in the case of the TF representation called the S-method. The proposed technique is applied for visualisation of signals in time-chirp-rate plane and parameter estimation of analytical and radar signals. In addition, a procedure for focusing SAR images by using estimated parameters is proposed in order to verify obtained results.
References
-
-
1)
-
L.J. Stanković
.
A method for time–frequency signal analysis.
IEEE Trans. Signal Process.
,
42 ,
225 -
229
-
2)
-
J.J. Sharma ,
C.H. Gierull ,
M.J. Collins
.
Compensating the effects of target acceleration in dual-channel SAR-GMTI.
IEE Proc. Radar, Sonar Navig.
,
153 ,
53 -
62
-
3)
-
L.J. Stanković ,
B. Boashash
.
(2003)
Quadratic and higher order time–frequency analysis based on the STFT, Time–frequency signal analysis and processing.
-
4)
-
Wang, P., Djurović, I., Yang, J.: `Instantaneous frequency rate estimation based on robust cubic phase function', Proc. Int. Conf. Acoustics, Speech, and Signal Processing, May 2006, Toulouse, France, p. 89–92.
-
5)
-
R.C. Gonzales ,
R.E. Woods
.
(1993)
Digital image processing.
-
6)
-
V.C. Chen ,
H. Ling
.
(2002)
Time–frequency transforms for radar imaging and signal analysis.
-
7)
-
P. O'Shea
.
A new technique for instantaneous frequency rate estimation.
IEEE Signal Process. Lett.
,
9 ,
251 -
252
-
8)
-
M. Farquharson ,
P. O'Shea
.
Extending the performance of the cubic phase function algorithm.
IEEE Trans. Signal Process.
,
55 ,
4767 -
4774
-
9)
-
M. Farquharson ,
P. O'Shea ,
G. Ledwich
.
A computationally efficient technique for estimating the parameters of polynomial phase signals from noisy observations.
IEEE Trans. Signal Process.
,
53 ,
3337 -
3342
-
10)
-
D.C. Reid ,
A.M. Zoubir ,
B. Boashash
.
Aircraft flight parameter estimation based on passive acoustic techniques using the polynomial Wigner–Ville distribution.
J. Acoust. Soc. Amer.
,
1 ,
207 -
223
-
11)
-
S. Peleg ,
B. Friedlander
.
The discrete polynomial phase transform.
IEEE Trans. Signal Process.
,
43 ,
1901 -
1914
-
12)
-
M.D. Desai ,
W.K. Jenkins
.
Convolution backprojection image reconstruction for spotlight mode synthetic aperture radar.
IEEE Trans. Image Process.
,
1 ,
505 -
517
-
13)
-
F. Hlawatsch ,
G.F. Boudreaux-Bartels
.
Linear and quadratic time–frequency signal representations.
IEEE Signal Process. Mag.
,
9 ,
21 -
67
-
14)
-
L.J. Stanković ,
T. Thayaparan ,
V. Popović ,
M. Djurović ,
M. Daković
.
Adaptive S-method for SAR/ISAR imaging.
EURASIP J. Adv. Signal Process.
-
15)
-
Xiao, S., Munson, D.C., Basu, S., Bresler, Y.: `An ', Conf. Rec. of the Thirty-Fourth Asilomar Conference on Signals, Systems and Computers, October 2000, Pacific Grove, CA, USA, p. 3–7, (1).
-
16)
-
J. Jeong ,
W.J. Williams
.
Mechanism of the cross-terms in spectrograms.
IEEE Trans. Signal Process.
,
40 ,
2608 -
2613
-
17)
-
P. O'Shea
.
A fast algorithm for estimating the parameters of a quadratic FM signal.
IEEE Trans. Signal Process.
,
52 ,
385 -
393
-
18)
-
B. Porat
.
(1994)
Digital processing of random signals: theory and methods.
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