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See detailADAPTIVE WAVEFORM DESIGN FRAMEWORK FOR MIMO RADAR UNDER PRACTICAL CONSTRAINTS
Hammes, Christian UL

Doctoral thesis (2019)

The recent developments in radar technology - powerful signal processors, increased modulation bandwidth and access to higher carrier frequencies - offers enhanced flexi- bility in waveform design and ... [more ▼]

The recent developments in radar technology - powerful signal processors, increased modulation bandwidth and access to higher carrier frequencies - offers enhanced flexi- bility in waveform design and receiver processing. This provides additional degrees of freedom in the signal design and processing, thereby offering additional avenues to im- plement interference mitigation. The radar environment is dynamic in general, with the inhomogeneous interference sources changing rapidly both in space and time. In this context, an adaptive waveform and adaptive receiver design for Multiple-Input-Multiple- Output (MIMO) radar system is a promising way forward towards dynamic interference mitigation. Even-though the technology offers flexibility, the need to commercialize radar elements imposes certain constraints on the platform to ensure commercial viability. In this context, the transmitted waveform has to satisfy practical design constraints imposed by the hardware including discrete phase modulation and limited number of processing chains. These coupled with the dynamic scenarios warrants a rapid signal adaptation with enhanced performance while satisfying the design constraints. Motivated by the aforementioned requirements, the thesis proposes a general framework for MIMO radar signal adaptation under practical design constraints. The transmit antennas are restricted to operate in a multiplex mode, where a fewer number of pro- cessing chains are multiplexed across an arbitrary number of transmit antennas. Each of these chains, also referred to as channels, have the capability to modulate the phase of a traditional radar pulse in discrete steps. Further, the modulation is assumed to be in the slow time domain (inter-pulse); such a phase modulation results in benign requirements on the platform. Furthermore, the antennas are assumed to be mounted uniformly in a way that the virtual MIMO paradigm for maximum angular resolution is satisfied. The slow time modulation naturally results in in an angle-Doppler coupling; this issue is addressed by phase center motion (PCM) techniques, where nonlinear and random PCM techniques for mitigating angle-Doppler coupling are proposed. While the PCM techniques provide orthogonal signals, a transmit beamforming approach is also consid- ered to exploit the salient features of MIMO and phased array radars. Towards this, an approach based on block circulant decomposition for the slow-time modulation is proposed to generate a particular beam shape while minimizing the cross-correlation between transmitted signals, such that the virtual MIMO paradigm is satisfied. The thesis formulates the radiation pattern design as a dictionary based convex optimization and proposes closed-form signal design solutions for particular configuration of channels, discrete phase stages and transmit antenna elements. The beampattern design is then elegantly combined with the PCM approach to reduce Doppler ambiguity while sup- pressing angle-Doppler coupling. The proposed waveform design methodology is shown to be amenable to fast adaptation. Further, the adaptive waveform design is fused with state of the art adaptive receiver techniques to conceive a novel adaptive MIMO radar system under practical constraints in this thesis. [less ▲]

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See detailBlock Circulant Decomposition of Cross-Correlation Matrix for Transmit MIMO Beamforming
Hammes, Christian UL; Shankar, Bhavani UL; Ottersten, Björn UL

Poster (2018, July)

This paper deals with the design of transmit probing signal under the trade-off between good target discrimination (low cross-correlation beam pattern) and beam pattern design (desired auto-correlation ... [more ▼]

This paper deals with the design of transmit probing signal under the trade-off between good target discrimination (low cross-correlation beam pattern) and beam pattern design (desired auto-correlation beam pattern) in a Multiple-Input- Multiple-Output (MIMO) radar configuration. The quartic optimization problem, with a finite alphabet constraint on the probing signal and using Quadrature Phase Shift Keying (QPSK) in a multiplexed antenna system, is solved through a Fourier series approximation of the desired beam pattern by exploiting a block circulant property of the transmit signal matrix. The mean square error between an ideal and the proposed crosscorrelation beam pattern is -35 dB enhancing the attractiveness of the proposed approach. [less ▲]

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See detailRandom Phase Center Motion Technique for Enhanced Angle-Doppler Discrimination Using MIMO Radars
Hammes, Christian UL; Shankar, Bhavani UL; Nijsure, Yogesh UL et al

in European Signal Processing Conference (EUSIPCO) 2017 (2017, August)

A random Phase Center Motion (PCM) technique is presented in this paper, based on Frequency Modulated Continuous Wave (FMCW) radar, in order to suppress the angle- Doppler coupling in Time Division ... [more ▼]

A random Phase Center Motion (PCM) technique is presented in this paper, based on Frequency Modulated Continuous Wave (FMCW) radar, in order to suppress the angle- Doppler coupling in Time Division Multiplex (TDM) Multiple- Input-Multiple-Output (MIMO) radar when employing sparse array structures. The presented approach exploits an apparently moving transmit platform or PCM due to spatio-temporal transmit array modulation. In particular, the work considers a framework utilizing a random PCM trajectory. The statistical characterization of the random PCM trajectory is devised, such that the PCM and the target motion coupling is minimal, while the angular resolution is increased by enabling the virtual MIMO concept. In more details, this paper discusses sidelobe suppression approaches within the angle-Doppler Ambiguity Function (AF) by introducing a phase center probability density function within the array. This allows for enhanced discrimination of multiple targets. Simulation results demonstrate the suppression angle- Doppler coupling by more than 30 dB, even though spatiotemporal transmit array modulation is done across chirps which leads usually to strong angle-Doppler coupling. [less ▲]

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See detailDiscrimination of Angle-Doppler Signatures using Arbitrary Phase Center Motion for MIMO Radars
Hammes, Christian UL; Nijsure, Yogesh UL; Shankar, Bhavani UL et al

in IEEE Radar Conf 2017 (2017, May)

A novel Phase Center Motion (PCM) based technique for discriminating angle-Doppler signatures within Multiple-Input-Multiple-Output (MIMO) radars using Frequency Modulated Continuous Wave (FMCW) has been ... [more ▼]

A novel Phase Center Motion (PCM) based technique for discriminating angle-Doppler signatures within Multiple-Input-Multiple-Output (MIMO) radars using Frequency Modulated Continuous Wave (FMCW) has been explored in this work. The PCM technique induces angle dependent Doppler shifts in the back-scattered signal, wherein a modified Doppler post processing for FMCW leads to joint angle-Doppler processing. Specifically, we intend to design unique spatialtemporal motion of the phase center on each individual MIMO radar channel in an effort to synthesize nearly orthogonal angle-Doppler signatures. Subsequently, we also develop a MIMO radar receiver design, which would be capable of discriminating between these induced angle-Doppler signatures. The asymptotic investigation provides a Bessel function characteristic. Simulation results demonstrate a significant side-lobe suppression of 8:5 dB for an individual PCM trajectory and 7 dB over distinct PCM trajectories, in an attempt towards realization of nearly orthogonal MIMO radar channels. [less ▲]

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