Unconstrained Synthesis of Covariance Matrix for MIMO Radar Transmit Beampattern

Ahmed, Sajid; Thompson, John; Pétillot, Yvan; Mulgrew, Bernie

doi:10.1109/tsp.2011.2153200

Cited by 135 publications

(78 citation statements)

References 13 publications

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“…Various criterion such as minimum mean square error (MMSE) [2][3][4], minimum difference (MD) [5], minimum peak side-lobe level (PSL) [6] and minimum integrated side-lobe level (ISL) [7,8] can be used in this step to optimize the waveform covariance matrix. Besides, the covariance matrix can also be parameterized using the coordinates of a hypershere as shown in [4] and [9]. In the second step, the actual waveforms are synthesized to realize the optimized covariance matrix with a peak-to-average power ratio (PAR) or constant envelope constraint [10].…”

Section: Introductionmentioning

confidence: 99%

“…Unlike the existing MIMO radar transmit beampattern design methods [2][3][4][5][6][7][8][9][10], through mathematical manipulations, the covariance matrix of the space-time transmit waveform can be optimized directly with the practical constraints of the maximum radiated energy on the shared bandwidth and the PAR of each antenna's transmit sequence. The resulting optimization problem is a nonconvex quadratically constrained quadratic programming (QCQP) problem which is a NP-hard problem due to the presence of constraints of the spectral compatibility and the PAR.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

MIMO Radar Transmit Beampattern Design with PAR constraint in a Spectrally Crowded Environment

Qinglin¹,

Wang²,

Li³

2017

Proceedings of the International Conference on Computer Networks and Communication Technology (CNCT 2016)

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Abstract. Considering the fact that the electromagnetic spectrum is becoming more and more crowded due to the increasing demand for both military and civilian wireless services. A novel MIMO radar transmit beampattern design scheme with PAR constraint in a spectrally crowded environment is proposed. Different with the existing beampattern design methods, the PAR and spectral constraints are considered in the optimization of the space-time transmit waveform covariance matrix. Semidefinite relaxation (SDR) is adopted to tackle the resulting NP-hard optimization problem. With the optimized covariance matrix, the final transmit waveforms which satisfy the practical constraints can be synthesized directly via randomization. Some numerical simulation results are shown to demonstrate the effectiveness of the new technique to devise MIMO radar transmit waveforms in beampattern design complying with the PAR and spectral coexistence requirements.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

MIMO Radar Transmit Beampattern Design with PAR constraint in a Spectrally Crowded Environment

Qinglin¹,

Wang²,

Li³

2017

Proceedings of the International Conference on Computer Networks and Communication Technology (CNCT 2016)

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“…Recently, MIMO radar waveform optimization design has become a hot research area and lots of research results have been obtained [5][6][7]. In [5], an algorithm about using covariance matrix of transmitting waveform to obtain the desired beam pattern has been proposed; In [6], a method about using DFT and toeplitz matrix to design the covariance matrix of transmitting waveform has been put forward; In [7], a method about using matrix weighting to design the transmit beampattern has been raised.…”

Section: Introductionmentioning

confidence: 99%

MIMO Radar Waveform Design for Multi-target ISAR Imaging

Xu¹,

Zhang²,

Chen³

2017

dtcse

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Existing MIMO radar waveform design is mostly studied for narrowband signal according to the need of radar tasks like tracking and detection, and the need of imaging task is not considered. A kind of method about MIMO radar waveform design for multi-target ISAR imaging is proposed in the paper. The prior information like target location, RCS, velocity as well as bandwidth limitation of imaging task is considered in waveform optimization as important constraints, there are a waveform optimization model for multi-target imaging is established and is solved by least squares estimation and the nearest neighbor algorithm. The designed waveform can achieve the imaging of the targets in different directions at the same time.

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“…The process of waveform design can be divided into two stages; a) designing the transmit waveform covariance matrix of transmit waveforms [14][15][16][17][18][19], b) synthesizing the transmit waveforms in order to realize the designed covariance matrix of stage one [20][21][22]. Several algorithms are proposed in literature to design transmit waveform with different constraints such as low peak to average power ratio (PAPR), because this helps in linear behavior of amplifiers in radio frequencies [23].…”

Section: Introductionmentioning

confidence: 99%

A Simple and Fast Method to Generate Transmit Beampattern in MIMO Radar

Bolhasani¹,

Imani²,

Ghorashi³

2015

International Journal of Innovative Research in Electrical, Ele

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Abstract:In this paper, we consider the problem of transmit beampattern design in multiple-input multiple-output (MIMO) radar systems. MIMO systems have the potential to dramatically improve the performance of radar systems over single antenna systems and phased array radar systems. The aim of waveform design problem is to achieve a desired beampattern or concentrating the transmit power in certain directions by designing the transmit covariance matrix. In this paper we first proposed a smiple and fast method which concentrates transmit power in interested area uniformly. This method satisfy peak to average power ratio (PAPR) practical constraint of transmit power and its PAPR is equal to one. Then we proposed an other method based on first method to decrease side lobe level (SLL) of our transmit beampattern and to achieve this goal, we employ chebyshev window in our method. However, the second method decrease SLL of the transmit beampattern, but its PAPR is not equal to one and has a low-PAPR. Simulation results validate our claims.Keywords: multiple-input multiple-output (MIMO) radar, transmit beampattern design, minimum side lobe beampattern design, chebyshev window, covariance matrix design.

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Unconstrained Synthesis of Covariance Matrix for MIMO Radar Transmit Beampattern

Cited by 135 publications

References 13 publications

MIMO Radar Transmit Beampattern Design with PAR constraint in a Spectrally Crowded Environment

MIMO Radar Transmit Beampattern Design with PAR constraint in a Spectrally Crowded Environment

MIMO Radar Waveform Design for Multi-target ISAR Imaging

A Simple and Fast Method to Generate Transmit Beampattern in MIMO Radar

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