Evaluations of keystone transforms using several interpolation methods

Deng, Tian-di; Jiang, Chaoshu

doi:10.1109/cie-radar.2011.6159939

Cited by 8 publications

(5 citation statements)

References 2 publications

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“…As a result, we should make a tradeoff between the computational burden and precision. In our paper, the sinc-interpolation is used because of its robustness and desirable performance [5], [35], [36].…”

Section: ) Remarkmentioning

confidence: 99%

Coherent Integration Algorithm for a Maneuvering Target With High-Order Range Migration

Kong

Cui

et al. 2015

IEEE Trans. Signal Process.

127

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This paper considers the coherent integration problem for a maneuvering target with complex motions, where the velocity, acceleration and jerk result in respectively the first-order range migration (FRM), second-order range migration (SRM) and third-order range migration (TRM) within the coherent pulse interval. A new coherent integration algorithm based on generalized keystone transform (KT) and secondorder dechirp process is proposed, which employs the third-order KT, six-order KT, second-order KT and fold factor searching to correct the TRM, SRM and FRM, respectively. The range migration change during each step and computational complexity are also theoretically analyzed. Compared with the generalized Radon Fourier transform (GRFT) algorithm, the presented method can avoid the blind speed sidelobe (BSSL) and acquire close integration performance but with much lower computational cost. Simulations are provided to demonstrate the effectiveness. Finally, a generalized method, named generalized KT and generalized dechirp process (GKTGDP), is also introduced for the maneuvering target with arbitrary high-order range migration.Maneuvering target, coherent integration, third-order range migration, generalized keystone transform, range migration correction.1053-587X (c) , IEEE Transactions on Signal Processing 3 for coherent integration due to the TRM. The generalized Radon Fourier transform (GRFT) was then presented to remove the TRM and conduct the coherent integration processing [15], [21]. Although GRFT can obtain coherent accumulation via jointly searching in target's motion parameter space, it has two limitations. Firstly, because of discrete pulse sampling, finite range resolution and limited integration time, the blind speed sidelobe (BSSL) may inevitably appear in the GRFT output, which leads to serious false alarm and detection performance deterioration [22]. A BSSL suppression method, based on the minimum operator of two weighted GRFT outputs, was studied in [22]. Nevertheless, it requires to bisect the coherent integration period, thus the integration performance would be decreased by about 3 dB.Secondly, the GRFT method is often computationally prohibitive, since it involves the solution of a fourdimensional searching. An improved particle swarm optimization (PSO) was then introduced to reduce the computational burden of GRFT [23]. However, the PSO may sensitive to the initial parameters set and get trapped in the local optimization for the scenario of multiple targets. This paper considers the coherent integration problem for a maneuvering target with jerk motion, involving TRM, SRM and FRM within the coherent pulse interval. A new coherent integration method based on generalized KT and second-order dechirp process (SDP) is proposed, where the third-order KT, six-order KT, second-order KT and fold factor searching are respectively employed to remove the TRM, SRM and FRM. After that, cross range Fourier transform (FT) is carried out to achieve the coherent accumulation of target energy. We also theoretica...

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Section: ) Remarkmentioning

confidence: 99%

Coherent Integration Algorithm for a Maneuvering Target With High-Order Range Migration

Kong

Cui

et al. 2015

IEEE Trans. Signal Process.

127

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“…Different approaches have been devised aiming at reducing the computational load of the KT slow-time resampling stage with respect to a conventional SCI [17][21][24] [25].…”

Section: Alternative Slow-time Interpolation Methods and Adopted Metricsmentioning

confidence: 99%

“…As mentioned in the introduction, possible application of the P-LPI for the active radar case has been preliminary investigated in [25] while only the case of a linear interpolation (namely a 1-LPI) has been recently considered for the PR case in [17].…”

Section: Alternative Slow-time Interpolation Methods and Adopted Metricsmentioning

confidence: 99%

“…A reasonable alternative is provided by the Lagrange P-order polynomial interpolation (P-LPI) whose possible application for the active radar case has been preliminary investigated in [25]. Basically only P+1 consecutive samples in the slow-time domain are exploited to evaluate the interpolated samples according to a P-order polynomial.…”

Section: Introductionmentioning

confidence: 99%

“…To this purpose, we significantly extent the studies in [25] [17] by evaluating the theoretical performance of a P-LPIbased KT as a function of the employed order P and the batches duration. By defining proper performance metrics, the analysis includes the study of the Signal to noise Ratio (SNR) loss, the control of sidelobes level in the resulting range/Doppler map, and the computational load.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Lagrange-Polynomial-Interpolation-Based Keystone Transform for a Passive Radar

Pignol¹,

Colone

Martelli

2018

IEEE Trans. Aerosp. Electron. Syst.

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In this paper we address the problem of target's range migration in passive bistatic radar exploiting long coherent integration times with fairly wideband signals of opportunity. We resort to the well-known Keystone Transform (KT) to compensate for the range walk effect and to take advantage of a higher coherent integration gain against targets with non-negligible radial velocity. Specifically, an efficient implementation of the KT is proposed, based on Lagrange polynomial interpolation, in order to reduce the computational load of the method that mostly depends on the required slow-time interpolation stage. The analysis conducted against simulated data shows that the conceived approach allows to achieve theoretical performance while further reducing the KT complexity with respect to alternative solutions based on cardinal sine functions or Chirp-Z Transforms. Moreover, the application against experimental data sets collected by a DVB-T based passive radar proves the practical effectiveness of the proposed algorithm and highlights its suitability for real-time air traffic surveillance applications.

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Adaptive direct signal and clutter cancellation based on phase-offset block least mean square filter in passive radar

Guan

Zhong

et al. 2014

2014 12th International Conference on Signal Processing (ICSP)

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Evaluations of keystone transforms using several interpolation methods

Cited by 8 publications

References 2 publications

Coherent Integration Algorithm for a Maneuvering Target With High-Order Range Migration

Coherent Integration Algorithm for a Maneuvering Target With High-Order Range Migration

Lagrange-Polynomial-Interpolation-Based Keystone Transform for a Passive Radar

Adaptive direct signal and clutter cancellation based on phase-offset block least mean square filter in passive radar

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