Transmit beampattern design for coherent FDA by piecewise LFM waveform

Wang, Huake; Liao, Guisheng; Xu, Jingwei; Zhu, Shengqi

doi:10.1016/j.sigpro.2019.03.010

Cited by 16 publications

(24 citation statements)

References 20 publications

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“…where w R θ 0 = 1, e j2πdsinθ 0 /λ 0 , …, e j2πd(N − 1)sinθ 0 /λ 0 T is the nonadaptive weight vector at beamforming direction θ 0 . Afterwards, the signal is fed into the angle-time matched filter [32]. The output can be given as…”

Section: Signal Model Of Coherent Fda Radarmentioning

confidence: 99%

“…Since the filter output from the expected direction is a real value via basic angle-time matched filter [32], we separate (20) into two parts to obtain a similar result via the designed filter, i.e.…”

Section: Stmf Designmentioning

confidence: 99%

“…Next, after the non‐adaptive receive beamforming, the echoes can be expressed as

z false(θ_{0}, t - τ false) = {bold-italicw}_{R} ()(, θ_{0}) Y false(θ_{0}, t - τ false),

where

{bold-italicw}_{R} ()(, θ_{0}) = {[1, e^{normalj 2 π d \sin θ_{0} / λ_{0}}, \dots, e^{normalj 2 π d (N - 1) \sin θ_{0} / λ_{0}}]}^{normalT}

is the non‐adaptive weight vector at beamforming direction θ 0 . Afterwards, the signal is fed into the angle‐time matched filter [32]. The output can be given as

\overset{false~}{z} false(θ_{0}, t false) = h false(\overset{false~}{θ}, t false) \otimes z false(θ_{0}, t - τ false),

where

\otimes

denotes the convolution operation.…”

Section: Signal Model Of Coherent Fda Radarmentioning

confidence: 99%

“…As mentioned earlier, the equivalent transmit beamforming and pulse compression are implemented simultaneously via the 2D angle‐time matched filtering [32]. When the matched angle is pointed to the target direction, the strong sidelobe interference would give rise to a false alarm.…”

Section: Stmf With Hybrid Codingmentioning

confidence: 99%

“…In particular, since the waveform in the time domain and the steering vector in the spatial domain are coupled in the transmit beampattern for coherent FDA, based on which the conventional matched filter is not applicable. We have devised an angle‐time matched filter to perform pulse compression and equivalent transmit beamforming jointly [32]. In doing so, multi‐beams in any region of interest can be formed at the receiver simultaneously.…”

Section: Introductionmentioning

confidence: 99%

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Space‐time matched filter design for interference suppression in coherent frequency diverse array

Wang

Liao

et al. 2020

IET signal process.

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By transmitting a single frequency-shifted waveform, coherent frequency diverse array (FDA) can provide a simple way to realize full spatial coverages with stable gains. Owing to the range-angle dependency in coherent FDA, the authors implement a two-dimensional angle-time matched filter to perform equivalent transmit beamforming and matched filtering simultaneously. However, such filter structures merely control main-lobes of equivalent transmit beams towards target directions. It fails to form nulls at interference directions. Moreover, traditional adaptive beamforming by designing adaptive weight vectors are no longer applicable. Additionally, they find that the range resolution scales linearly with the element number. To tackle these issues, a space-time matched filter (STMF) in combination with the hybrid coding technique is proposed. Aiming at mitigating interferences, the STMF is designed with a formulation of quadratically constrained quadratic programing. By relaxation of quadratic constraints, the hard non-convex problem can be turned into the second-order cone programing to obtain optimal filter parameters. Furthermore, the hybrid coding technique is devised to jointly improve the range resolution. Numerical experiments of both two-dimensional range-angle outputs and one-dimensional range profiles via filtering are provided, which demonstrate that the STMF with hybrid coding can effectively suppress sidelobe interferences with a range resolution enhancement.

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Section: Signal Model Of Coherent Fda Radarmentioning

confidence: 99%

Section: Stmf Designmentioning

confidence: 99%

“…Next, after the non‐adaptive receive beamforming, the echoes can be expressed as

z false(θ_{0}, t - τ false) = {bold-italicw}_{R} ()(, θ_{0}) Y false(θ_{0}, t - τ false),

where

{bold-italicw}_{R} ()(, θ_{0}) = {[1, e^{normalj 2 π d \sin θ_{0} / λ_{0}}, \dots, e^{normalj 2 π d (N - 1) \sin θ_{0} / λ_{0}}]}^{normalT}

is the non‐adaptive weight vector at beamforming direction θ 0 . Afterwards, the signal is fed into the angle‐time matched filter [32]. The output can be given as