Spectrally-efficient FM noise radar waveforms optimized in the logarithmic domain

Mohr, Charles A.; McCormick, Patrick M.; Blunt, Shannon D.; Mott, Charles

doi:10.1109/radar.2018.8378669

Cited by 22 publications

(5 citation statements)

References 20 publications

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“…1, the spectral efficiencies are approximately 0.23, 0.43, 0.69, and 0.80, respectively. These values are also the inverse of "oversampling" factor K when performing optimization of discretized FM waveforms [12][13][14][15][16][17].…”

Section: Super-gaussian Spectral Templatesmentioning

confidence: 99%

“…It has recently been shown [10,11] that imposing structure to RFM can provide a Gaussian spectral density in the expectation (over the set of unique waveforms), yielding a per-waveform peak sidelobe level (PSL) of ~10 log10 (B3dBT) after expectation, for 3-dB bandwidth B3dB and pulse width T. Better sidelobe performance can be achieved by optimizing each waveform to match the desired spectrum density (e.g. [12][13][14][15][16][17]).…”

Section: Introductionmentioning

confidence: 99%

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Designing Random FM Radar Waveforms with Compact Spectrum

Mohr

Blunt

2021

ICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

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Spectrally-shaped random FM (RFM) waveforms have recently been shown to greatly expand radar design freedom, provide good spectral containment, and are amenable to physical implementation in high-power transmitters. A key design factor involves ways of enforcing a Gaussian spectral density via optimization, which leads to a Gaussian autocorrelation that theoretically has no range sidelobes. However, the gradual roll-off for this spectrum means that, for fixed transmitter bandwidth, the passband component must be narrower than for classical linear FM (LFM), thereby trading achievable range resolution. Here we examine the impact of using the family of super-Gaussian spectra to serve as alternative design templates. Using the temporal template error (TTE) RFM design scheme to generate physical waveforms in this context, radar performance trade-offs are examined to assess practical viability.

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Section: Super-gaussian Spectral Templatesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Designing Random FM Radar Waveforms with Compact Spectrum

Mohr

Blunt

2021

ICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

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“…For example, in [43] (with detailed derivation in [44]) gradient-descent optimisation was performed and subsequently demonstrated experimentally to realise waveforms that can reach a lower bound on sidelobe performance for discretised FM waveforms. This general approach was also employed to optimise coded FM waveforms based on Legendre polynomials [45] (and also account for receiver range straddling), to efficiently incorporate spectral notches into FM waveforms [46], to realise an intermodulation-based formulation for non-linear harmonic radar [47], and to design different sub-classes of random FM waveforms [36,37]. Here gradient descent is used to optimise subsets of complementary FM waveforms.…”

Section: Complementary Fm Waveformsmentioning

confidence: 99%

“…Another interesting attribute of random FM waveforms is that their inherent diversity enables the prospect of complementary sidelobe cancellation based on appropriate filtering of arbitrary non-repeating waveforms (such as those described in [33,[35][36][37][38]). Specifically, work by Bi and Rohling [13] on mismatched filters (MMFs) for sets of binary codes has recently been generalised [39] to permit application to random FM waveforms.…”

Section: Introductionmentioning

confidence: 99%

Complementary frequency modulated radar waveforms and optimised receive processing

Jones

Mohr

McCormick

et al. 2021

IET Radar Sonar & Navi

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Design methodologies are developed for complementary frequency modulated (FM) waveforms and for optimised complementary mismatched filtering (MMF) of arbitrary non-repeating waveforms. The former is a sub-class of random FM waveforms denoted as complementary FM (Comp-FM) while the latter extends a practical instantiation of least-squares mismatched filtering yielding the mismatched complementary-on-receive filtering (MiCRFt) scheme. Both of these approaches have an emphasis on the nonideal physical effects of the radar transmitter and receiver, thereby permitting highfidelity simulation analysis and subsequent experimental demonstration of their efficacy using open-air measurements.This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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“…Costas coding), discrete phase modulation (e.g. Barker and Franck coding) [20], and frequency and/or phase modulation by optimization [21,22].…”

Section: Introductionmentioning

confidence: 99%

Novel discrete frequency-phase modulated excitation waveform for enhanced depth resolvability of thermal wave radar

Hedayatrasa

Poelman

Segers

et al. 2019

Mechanical Systems and Signal Processing

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Thermal wave radar (TWR) is a state-of-the-art non-destructive testing method, inspired by radio wave radar systems, in order to increase depth resolution and signal to noise ratio of optical infrared thermography through pulse compression. Analogue frequency modulation (i.e. frequency sweep) and Barker binary phase modulation are the two popular and widely researched pulse compression techniques in TWR among which Barker coding has shown the highest performance. This paper introduces a novel modulated waveform with variable discrete frequencyphase modulation (FPM) which distinctively enhances the depth resolvability of TWR compared to the existing techniques. The pulse compression quality and depth resolvability of the novel FPM waveform is initially evaluated through a 1D analytical solution. The analogue frequency modulated and discrete phase modulated waveforms as well as mono-frequency excitation (i.e. lock-in thermography) are also evaluated at the same central frequency as the reference. Objective functions are defined and a large search space is explored for optimal modulation codes. Two FPM waveforms are selected based on their maximized depth resolvability through resultant lag and phase in the output channel of TWR. Furthermore, the excellent performance of the selected FPM waveforms is validated by 3D finite element simulation. A delaminated glass fiber reinforced polymer (GFRP) laminate is simulated in order to evaluate the impact of a dominant lateral heat diffusion on the performance of the novel FPM waveforms. The superior depth resolvability of the introduced FPM waveforms is confirmed and their robustness at various noise levels is demonstrated.

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Spectrally-efficient FM noise radar waveforms optimized in the logarithmic domain

Cited by 22 publications

References 20 publications

Designing Random FM Radar Waveforms with Compact Spectrum

Designing Random FM Radar Waveforms with Compact Spectrum

Complementary frequency modulated radar waveforms and optimised receive processing

Novel discrete frequency-phase modulated excitation waveform for enhanced depth resolvability of thermal wave radar

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