MIMO Radar Imaging With Nonorthogonal Waveforms Based on Joint-Block Sparse Recovery

Hu, Xiaowei; Tong, Ningning; Zhang, Yongshun; Huang, Darong

doi:10.1109/tgrs.2018.2829403

Cited by 35 publications

(22 citation statements)

References 41 publications

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“…To recover the range Doppler map from the echoes y m ( nt f ), traditional matched filtering method can be applied to perform pulse compression for each PRI and then perform coherent integration among different PRIs, but it would suffer from high range and Doppler sidelobes. To eliminate the sidelobes, a sequential sparse model like [10] can be applied here to formulate the following :

\begin{matrix} true \\ right \begin{matrix} f o r m = 1, \dots, M S o l v e : \min_{X (:, m)} {(‖‖, boldX false(:, m false))}_{0} s . t . {(‖‖, boldY (:, m) - A_{m} boldX (:, m))}_{2}^{2} < ε \\ f o r n = 1, \dots, N S o l v e : \min_{Z (n, :)} {(‖‖, boldZ false(n, : false))}_{0} s . t . {(‖‖, boldX {false(n, : false)}^{T} - D^{T} boldZ {false(n, : false)}^{T})}_{2}^{2} < ε \end{matrix} \end{matrix}

where Y (:, m ) is the m th column of the echo matrix Y (i.e. the echo during the m th PRI).…”

Section: Limitations Of Traditional Methodsmentioning

confidence: 99%

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Noise radar range doppler imaging via 2D generalized smoothed‐ l 0

2021

Electronics Letters

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This paper presents an algorithm to enhance the range-Doppler imaging performance for noise radar. Traditional matched filtering based method suffers from high range and Doppler sidelobes, which makes the weak targets overwhelmed by the sidelobes of strong targets or clutters in the range-Doppler map. Sparse recovery based methods have been widely used to suppress such sidelobes, but most of them assume a repetitive transmit waveform, which cannot be applied to noise radar applications. In this letter, the range-Doppler imaging problem for noise radar is formulated as a sparse recovery model and solved by a 2D generalized smoothed-l 0 algorithm. The proposed method can deal with the random waveforms varying among different pulses in noise radar. The robustness of the proposed method in strong noise and clutters is validated by simulation results.

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\begin{matrix} true \\ right \begin{matrix} f o r m = 1, \dots, M S o l v e : \min_{X (:, m)} {(‖‖, boldX false(:, m false))}_{0} s . t . {(‖‖, boldY (:, m) - A_{m} boldX (:, m))}_{2}^{2} < ε \\ f o r n = 1, \dots, N S o l v e : \min_{Z (n, :)} {(‖‖, boldZ false(n, : false))}_{0} s . t . {(‖‖, boldX {false(n, : false)}^{T} - D^{T} boldZ {false(n, : false)}^{T})}_{2}^{2} < ε \end{matrix} \end{matrix}

where Y (:, m ) is the m th column of the echo matrix Y (i.e. the echo during the m th PRI).…”

Section: Limitations Of Traditional Methodsmentioning

confidence: 99%

“…Imposing such regularization term is beneficial to enhancing the algorithm's robustness to noise [10]. The optimization problem ( 6) has an analytical solution:…”

Section: Limitations Of Traditional Methodsmentioning

confidence: 99%

Noise radar range doppler imaging via 2D generalized smoothed‐ l 0

2021

Electronics Letters

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“…The waveform design method is extended to the SSFW and the synthetic wideband signal by compressed sensing (CS). Nowadays, CS has developed a set of effective theories [ 37 ], which are widely used in the HRRP [ 38 ], SAR [ 39 ], and ISAR [ 40 ]. Especially in the air scene, the radar target is sparse relative to the observation window.…”

Section: Introductionmentioning

confidence: 99%

Design and Processing Method for Doppler-Tolerant Stepped-Frequency Waveform Using Staggered PRF

Zhang¹,

Yeh²,

Li³

et al. 2021

Sensors

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Stepped-frequency waveform may be used to synthesize a wideband signal with several narrow-band pulses and achieve a high-resolution range profile without increasing the instantaneous bandwidth. Nevertheless, the conventional stepped-frequency waveform is Doppler sensitive, which greatly limits its application to moving targets. For this reason, this paper proposes a waveform design method using a staggered pulse repetition frequency to improve the Doppler tolerance effectively. First, a generalized echo model of the stepped-frequency waveform is constructed in order to analyze the Doppler sensitivity. Then, waveform design is carried out in the stepped-frequency waveform by using a staggered pulse repetition frequency so as to eliminate the high-order phase component that is caused by the target’s velocity. Further, the waveform design method is extended to the sparse stepped-frequency waveform, and we also propose corresponding methods for high-resolution range profile synthesis and motion compensation. Finally, experiments with electromagnetic data verify the high Doppler tolerance of the proposed waveform.

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“…Multiple Input Multiple Output (MIMO) radar systems have been applied into many applications including synthetic aperture radar (SAR) imaging, target detection and target tracking problems in recent years (Cerutti-Maori et al 2014;Hu et al 2018;Krieger 2014;Moo et al 2013;Tarchi et al 2013). MIMO waveforms can improve the spatial resolution, extend image swaths, and provide novel modes to solve the problem in real radar systems.…”

Section: Introductionmentioning

confidence: 99%

Suppression of sidelobes in MIMO radar with distinctive piecewise non-linear frequency modulation sub-carrier

Zhao

Ritchie

et al. 2019

International Journal of Remote Sensing

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High sidelobes exist in normal multiple-input multiple-output (MIMO) radar waveforms, which utilize linear frequency modulation (LFM) or non-linear frequency modulation (NLFM) waveforms with the same subcarrier durations. Since the waveforms have the same expression, and each segment of the subcarriers can be only controlled by a few parameters to make them distinctive. This will cause comparatively high auto-correlation sidelobes in each zone of subcarriers. In order to suppress the sidelobes, new piecewise NLFM waveforms have been proposed in this paper. These novel MIMO radar waveforms are composed of three different kinds of subcarriers with totally different mathematical expressions. This is verified by the fact that the cross-correlation sidelobes between different subcarriers are much lower than the auto-correlation of each subcarriers. In addition, the number of MIMO radar waveforms has been improved significantly. As different subcarriers have their own controllable parameters, a genetic algorithm will be applied to generate the novel MIMO radar waveforms. Numerical results demonstrate the effectiveness that the auto-correlation sidelobes and the cross-correlation sidelobes of our proposed waveforms are reduced.

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MIMO Radar Imaging With Nonorthogonal Waveforms Based on Joint-Block Sparse Recovery

Cited by 35 publications

References 41 publications

Noise radar range doppler imaging via 2D generalized smoothed‐ l 0

Noise radar range doppler imaging via 2D generalized smoothed‐ l 0

Design and Processing Method for Doppler-Tolerant Stepped-Frequency Waveform Using Staggered PRF

Suppression of sidelobes in MIMO radar with distinctive piecewise non-linear frequency modulation sub-carrier

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