Doppler tolerance, complementary code sets, and generalised Thue–Morse sequences

Nguyêñ, Hiêú D.; Coxson, Gregory E.

doi:10.1049/iet-rsn.2015.0569

Cited by 23 publications

(18 citation statements)

References 22 publications

(64 reference statements)

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“…The transmission is determined by space-time codes. Examples of these codes that play a key role in constructing Doppler resilient Golay waveforms (pulse train) are first-order Reed-Müller codes [6], Prouhet-Thue-Morse (PTM) sequences [5], oversampled PTM sequences [7], generalized PTM sequences [8], and equal sums of powers (ESP) sequences [9]. The first-order Reed-Müller codes decrease the range sidelobes (less than -60dB) at a specific Doppler value (e.g., 0.25 rad).…”

Section: Introductionmentioning

confidence: 99%

Complementary Waveforms for Range-Doppler Sidelobe Suppression Based on a Null Space Approach

Wang,

Fan,

McLernon

et al. 2021

Preprint

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While Doppler resilient complementary waveforms have previously been considered to suppress range sidelobes within a Doppler interval of interest in radar systems, their capability of Doppler resilience has not been fully utilized. In this paper, a new construction of Doppler resilient complementary waveforms based on a null space is proposed. With this new construction, one can flexibly include a specified Doppler interval of interest or even an overall Doppler interval into a term which results in range sidelobes. We can force this term to zero, which can be solved to obtain a null space. From the null space, the characteristic vector to control the transmission of basic Golay waveforms, and the coefficients of the receiver filter for Golay complementary waveform can be extracted. Besides, based on the derived null space, two challenging non-convex optimization problems are formulated and solved for maximizing the signal-to-noise ratio (SNR). Moreover, the coefficients of the receiver filter and the characteristic vector can be applied to fully polarimetric radar systems to achieve nearly perfect Doppler resilient performance, and hence fully suppress the inter-antenna interferences.

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Section: Introductionmentioning

confidence: 99%

Complementary Waveforms for Range-Doppler Sidelobe Suppression Based on a Null Space Approach

Wang,

Fan,

McLernon

et al. 2021

Preprint

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show abstract

“…Complementary codes/sequences were originally proposed by Golay in the early 1960s [1] and have since been extensively explored (e.g. [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]) as a means to completely remove autocorrelation sidelobes through combining of the pulse compressed responses resulting from pairs/sets of complementary coded pulses. However, there are two factors that limit the efficacy of complementary coding in practice: Doppler sensitivity and implementation/transmitter distortion.…”

Section: Introductionmentioning

confidence: 99%

“…Consequently, if a collection of scattering incurs unanticipated phase-changes due to Dopplerinterpulse phase offsets, intrapulse phase ramps, or both-a deviation from the ideal condition arises that results in a commensurate regrowth of residual sidelobes (noting that some degree of cancellation may still be achieved). While sequence ordering of complementary codes was proposed as a strategy to provide more Doppler resilience [12,15], it was noted in [16] that such an approach degrades when interpulse weighting is employed. Moreover, this method and other traditional approaches rely on the direct implementation of codes, which leads to the second limiting factor.…”

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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“…However, they display perfect orthogonal behavior over very limited Doppler. A lot of research is currently happening in making these sequences more doppler tolerant [19], [20], [21] and [? ].…”

Section: Introductionmentioning

confidence: 99%

Inter Pulse Frequency Diversity System for Second Trip Suppression and Retrieval in a Weather Radar

Chandrasekar,

Kumar

2020

Preprint

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This paper develops the use of Inter-pulse frequency diversity scheme for a weather Radar system. It establishes the performance of frequency diversity technique comparing it with other inter-pulse schemes for weather radar systems. Inter-pulse coding is widely used for second trip suppression or cross-polarization isolation. Here, a new inter-pulse scheme is discussed taking advantage of frequency diverse waveforms. The simulations and test of performance, is evaluated keeping in mind NASA dual-frequency, dual-polarization, Doppler radar (D3R). A new method is described to recover velocity and spectral width due to incoherence in samples from change of frequency pulse to pulse. This technique can recover the weather radar moments over a much higher dynamic range of the other trip contamination as compared with the popular systematic phase code, for second trip suppression and retrieval.

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Doppler tolerance, complementary code sets, and generalised Thue–Morse sequences

Cited by 23 publications

References 22 publications

Complementary Waveforms for Range-Doppler Sidelobe Suppression Based on a Null Space Approach

Complementary Waveforms for Range-Doppler Sidelobe Suppression Based on a Null Space Approach

Complementary frequency modulated radar waveforms and optimised receive processing

Inter Pulse Frequency Diversity System for Second Trip Suppression and Retrieval in a Weather Radar

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