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Long-time coherent integration works to significantly increase the detection probability for maneuvering targets. However, during the observation time, the problems that often tend to occur are range cell migration (RCM) and Doppler frequency cell migration (DFCM), due to the high velocity and acceleration of the maneuvering target, which can reduce the detection of the maneuvering targets. In this regard, we propose a new coherent integration approach, based on the product scale zoom discrete chirp Fourier transform (PSZDCFT). Specifically, by introducing the zoom operation into the modified discrete chirp Fourier transform (MDCFT), the zoom discrete chirp Fourier transform (ZDCFT) can correctly estimate the centroid frequency and chirp rate of the linear frequency-modulated signal (LFM), regardless of whether the parameters of the LFM signal are outside the estimation scopes. Then, the scale operation, combined with ZDCFT, is performed on the radar echo signal in the range frequency slow time domain, to remove the coupling. Thereafter, a product operation is executed along the range frequency to inhibit spurious peaks and reinforce the true peak. Finally, the velocity and acceleration of the target estimated from the true peak position, are used to construct a phase compensation function to eliminate the RCM and DFCM, thus achieving coherent integration. The method is a linear transform without energy loss, and is suitable for low signal-to-noise (SNR) environments. Moreover, the method can be effectively fulfilled based on the chirp-z transform (CZT), which prevents the brute-force search. Thus, the method reaches a favorable tradeoff between anti-noise performance and computational load. Intensive simulations demonstrate the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]

Long-time coherent integration works to significantly increase the detection probability for maneuvering targets. However, during the observation time, the problems that often tend to occur are range cell migration (RCM) and Doppler frequency cell migration (DFCM), due to the high velocity and acceleration of the maneuvering target, which can reduce the detection of the maneuvering targets. In this regard, we propose a new coherent integration approach, based on the product scale zoom discrete chirp Fourier transform (PSZDCFT). Specifically, by introducing the zoom operation into the modified discrete chirp Fourier transform (MDCFT), the zoom discrete chirp Fourier transform (ZDCFT) can correctly estimate the centroid frequency and chirp rate of the linear frequency-modulated signal (LFM), regardless of whether the parameters of the LFM signal are outside the estimation scopes. Then, the scale operation, combined with ZDCFT, is performed on the radar echo signal in the range frequency slow time domain, to remove the coupling. Thereafter, a product operation is executed along the range frequency to inhibit spurious peaks and reinforce the true peak. Finally, the velocity and acceleration of the target estimated from the true peak position, are used to construct a phase compensation function to eliminate the RCM and DFCM, thus achieving coherent integration. The method is a linear transform without energy loss, and is suitable for low signal-to-noise (SNR) environments. Moreover, the method can be effectively fulfilled based on the chirp-z transform (CZT), which prevents the brute-force search. Thus, the method reaches a favorable tradeoff between anti-noise performance and computational load. Intensive simulations demonstrate the effectiveness of the proposed method.

The existing generalized Radon–Fourier transform (GRFT) algorithm can achieve coherent integration of high-order maneuvering targets by jointly searching in multiple dimensions, but it has high computational complexity. This article proposes a fast algorithm for the GRFT. We consider a maneuvering target with complex motions, where the jerk results in the third-order range migration (TRM) and the third-order Doppler migration (TDM). The echo data are segmented to allow the TRM, and the TDM of each segment is ignorable. In doing so, the jerk in each segment can be estimated by the second-order Radon–Fourier transform, which is used to compensate for the gain loss due to the ignoring of jerk. The final integration result can then be obtained by accumulating the results in all segments. Since the jerk does not need to be searched in the proposed algorithm, the computational complexity of the proposed algorithm is much lower than that of the standard GRFT. [ABSTRACT FROM AUTHOR]

During the long coherent integration time in passive radar,the motion parameters (such as high speed,acceleration and jerk motion,etc.) will bring about range migration (RM) and Doppler frequency migration (DFM),further deteriorate the integration performance.To realize the coherent integration of maneuvering targets with jerk motion,a method based on frequency reversing transform (FRT) and modified Lv’s distribution (MLVD) called FRT-MLVD was proposed to achieve the coherent integration and motion parameters estimation.More specifically,the FRT was firstly proposed to remove RM.Then the MLVD was employed to estimate the acceleration and jerk parameters.After compensating the DFM induced by the acceleration and jerk motion,the residual RM was corrected and the velocity and range was achieved via the KT operation.Simulation results demonstrate that the proposed method can effectively compensate the RM and DFM induced by the target motion parameters in passive radar,and for maneuvering targets with jerk motion,the proposed method achieves a better integration and detection performance over existing methods.

A long-time coherent integration could effectively improve the detection ability of radar for maneuvering targets. Nevertheless, the Doppler ambiguity and frequency migration caused by the high speed and acceleration severely degrade the detection performance. In this regard, a novel coherent integration algorithm is proposed, particularly for maneuvering targets with Doppler ambiguity. Specifically, the acceleration is firstly estimated by scaled non-uniform fast Fourier transform (SNuFFT). Then, the scaled periodic discrete Fourier transform (SPDFT), which periodically extends the observable Doppler scope of discrete Fourier transform (DFT), is proposed to estimate the unambiguous Doppler frequency. Finally, the grating lobes are significantly suppressed via product operation, and coherent integration is achieved after phase compensation. To alleviate the computational burden and eliminate the brute force searching procedure, an efficient implementation based on chirp-z transform (CZT) is also derived. Analysis shows that the proposed algorithm achieves a good balance between computational complexity and anti-noise performance. Extensive simulations and real measured radar data are conducted to verify the proposed algorithm. [ABSTRACT FROM AUTHOR]

Long-term coherent integration can remarkably improve the ability of detection and motion parameter estimation of radar for maneuvering targets. However, the linear range migration, quadratic range migration (QRM), and Doppler frequency migration within the coherent processing interval seriously degrade the detection and estimation performance. Therefore, an efficient and noise-resistant coherent integration method based on location rotation transform (LRT) and non-uniform fast Fourier transform (NuFFT) is proposed. QRM is corrected by the second-order keystone transform. Using the relationship between the rotation angle and Doppler frequency, a novel phase compensation function is constructed. Motion parameters can be rapidly estimated by LRT and NuFFT. Compared with several representative algorithms, the proposed method achieves a nearly ideal detection performance with low computational cost. Finally, experiments based on measured radar data are conducted to verify the proposed algorithm. [ABSTRACT FROM AUTHOR]

Long-time coherent integration can effectively improve the radar detection ability of a maneuvering target. However, with the increasing of integration time, radial velocity and radial acceleration of the moving target result in linear range migration (LRM), range curvature (RC), and Doppler frequency migration (DFM) of the received signal. These may degrade detection performance seriously. To solve these problems, an efficient coherent accumulation method based on improved time reversal transform (ITRT) and modified radon Fourier transform (MRFT) is proposed in this paper. Different from conventional methods, this approach firstly eliminates the acceleration effects by ITRT. It can remove RC and DFM simultaneously via multiplying its slow-time reversed conjugate data in range-frequency and azimuth-time domains. Then by employing a new Doppler filter bank (DFB), MRFT realizes the echoes spatial temporal decoupling as well as the coherent integration in searching-velocity and Doppler-frequency domains. The major advantages of the proposed method are that RC and DFM can be rectified without parameter estimation, and computational complexity can be optimized by the new FFT-based filter bank. In addition, due to the nonlinearity of ITRT operation, the influence of cross terms of multiple targets on detection performance is also discussed. Several simulations are provided to demonstrate the effectiveness of our approach. [ABSTRACT FROM AUTHOR]

In allusion to the coupling relationship among radial velocity variation, range migration, and Doppler spread of a maneuvering target, a Dynamic Programing (DP)-based Weighted Adaptive Coherent Integration (DPWACI) detection method is proposed. The target energy could be efficiently integrated along its trajectory by the proposed method. The main idea of DPWACI is the joint execution of the three operations: the weighted DP procedure that could accurately search the current position and velocity of the target; the improved coherent integration that could calibrate the Doppler shift during the entire process with a large phase spread; and the adaptive step that could make the integration time suitable for each velocity searching bin. The proposed method is applicable to a target with an arbitrary motion without estimating its specific movement parameters. Simulation results and performance comparisons show the exactitude and superiority of the proposed method.

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In allusion to the coupling relationship among radial velocity variation, range migration and Doppler spread of a maneuvering target, a dynamic programming (DP) based long time coherent integration (DPCI) detection method is proposed. The energy of the target of high velocity and strong maneuver could be integrated along its trajectory by the proposed DPCI method with high efficiency. The main idea of the DPCI is the joint execution of two operations: the modified DP procedure that could search the current position and velocity of the target, and the improved coherent integration that could calibrate the Doppler shift during the entire process with any large phase spread. The proposed method is applicable to a target with arbitrary motion without estimating its specific movement parameters. Simulation results and performance comparisons show the accuracy and superiority of the proposed method. [ABSTRACT FROM AUTHOR]

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 second-order 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. [ABSTRACT FROM PUBLISHER]

• Doppler ambiguity and acceleration reduce the integration gain of conventional coherent detection methods. • The frequency scope of DFT is extended by reintroducing its redundant period to estimate the under-sampled Doppler frequency. • The scaling and product operations are used to eliminate the couplings and suppress the grating lobes. • A good balance is achieved between computational complexity and detection performance. This paper considers the coherent integration problem for Doppler-ambiguous maneuvering target. A novel method based on the product scaled periodic Lv's distribution (PSPLVD) is proposed. To be specific, the acceleration could be accurately estimated via Lv's distribution (LVD). Then, the periodic discrete Fourier transform (DFT), which periodically extends the frequency scope of DFT, is introduced to modify the LVD to estimate the unambiguous centroid frequency. Thereafter, scaling and product operations are respectively employed to eliminate the coupling and suppress the grating lobes. Finally, coherent integration is achieved after compensating off the range migration and Doppler frequency migration. Cross term analysis indicates the applicability in the scenario of multiple targets. Efficient implementation based on chirp-z transform is also presented to alleviate the computational burden and eliminate the brute force searching procedure. Detailed comparisons with several representative methods lead us to conclude that the proposed method could strike a good balance between computational cost and detection probability. Extensive simulations and real data processing results are provided to verify the proposed method. [ABSTRACT FROM AUTHOR]