Beamforming of Frequency Diverse Array Radar With Nonlinear Frequency Offset Based on Logistic Map

Wang, Zhonghan; Mu, Tong; Song, Yunpeng; Ahmad, Zeeshan

doi:10.2528/pierm17103101

Cited by 11 publications

(19 citation statements)

References 16 publications

(18 reference statements)

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“…where r m ≅ r − mdsin θ, with d being the element spacing, is the slant range with respect to the mth element [47], and c is the speed of electromagnetic (EM) wave propagation. Substituting r m ≅ r − mdsin θ and 2into 3, we have [10][11][12][13][14][15][16][17][18][19][20]…”

Section: Time-invariant Fda Beampattern Synthesismentioning

confidence: 99%

“…In [14][15][16][17], non-linear and non-uniform frequency offsets were employed in ULA to generate a decoupled and focused rangeangle dependent beampattern. A dot-shaped range-angle dependent beampattern is obtained in [18,19] by using multi-carrier frequency modulation FDA with non-linear frequency offset. A multi-carrier FDA framework with symmetrical and logarithmic spaced array elements is presented in [20] to produce a dot-shaped beampattern for target indication.…”

Section: Introductionmentioning

confidence: 99%

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Time‐variant focused range‐angle dependent beampattern synthesis by frequency diverse array radar

Ahmad¹,

Shi

Zhou³

et al. 2020

IET signal process.

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The frequency diverse array (FDA) radar has been extensively studied due to its unique range-angle dependent beampattern. Time-invariant spatial patterns have been reported for FDAs proposed so far. However, some recent studies indicate that the patterns obtained by using these methodologies neglect the time-range or frequency-phase relationship, and the definition of time in some equations are misinterpreted which results in erroneous conclusions. Taking the time-variant property of FDA beampatterns into consideration, in this study, the authors propose a short range FDA radar to generate a timevariant focused range-angle dependent transmit beampattern, where chirp waveform with multi-carrier FDA architecture is used. Both the fixed and time-modulated frequency offsets are considered to analyse the proposed FDA radar. The frequency offset employed across each element is generated by chaos sequence and sine function. By compensating the propagation delays of signals, the transmitted signals sum up constructively to focus on the desired range-angle sector only at a specific instant of time. Numerical results are implemented to verify the validity of the proposed schemes.

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Section: Time-invariant Fda Beampattern Synthesismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Time‐variant focused range‐angle dependent beampattern synthesis by frequency diverse array radar

Ahmad¹,

Shi

Zhou³

et al. 2020

IET signal process.

Self Cite

View full text Add to dashboard Cite

show abstract

“…A useful implementation scheme for FDA was introduced in [10] by utilising the linear frequency modulated continuous waveform (LFMCW). From this, a sound foundation was built, on which numerous new forms of FDA have been investigated [11][12][13][14][15][16][17][18]. In [11], the random FDA was proposed for an uncoupled indication of target direction and range on the basis of matched filtering and compressive sensing.…”

Section: Introductionmentioning

confidence: 99%

“…Preliminary studies of FDA were most excited with continuous wave in array radar configuration [11][12][13][14][15], termed as CW-FDA. In fact, pulse signals are more often adopted in practical engineering applications [43,44].…”

Section: Introductionmentioning

confidence: 99%

Subarray‐based coherent pulsed‐LFM frequency diverse array for range resolution enhancement

Wang

Liao

et al. 2020

IET signal process.

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Coherent frequency diverse array (FDA) can provide the full spatial illumination with a stable transmit gain by employing a single frequency-shifted waveform. However, the authors find that the range resolution is scaled linearly with the number of elements. In this work, the problem is first quantitatively analysed through mathematical derivation. To solve the issue, a subarray-based coherent FDA transmitting pulsed linear frequency modulation signals is proposed. The essence of the subaperture technique is to partition the transmit antenna array into multiple regular or irregular subarrays, wherein an identical carrier frequency is utilised in each subarray. Meanwhile, distinct carrier frequencies are adopted between subarrays. Moreover, the multi-dimensional ambiguity function is studied to assess the properties including the range resolution, spatial coverage and sidelobe level. Simulation results demonstrate that the proposed approach has superiorities in range resolution enhancement and range sidelobe reduction.

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“…Global optimization algorithm like genetic algorithm is discussed to generate a thumbtack-shaped beampattern [25]. A multicarrier nonlinear frequency modulation FDA system based on pseudorandom frequency offset is presented in [26]. The system is simplified by omitting the optimization algorithm, and signal power can focus on different targets during desired time period.…”

Section: Introductionmentioning

confidence: 99%

Stepped Frequency Pulse Frequency Diverse Array Radar for Target Localization in Angle and Range Domains

Tan

Wang

et al. 2018

International Journal of Antennas and Propagation

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Unlike phased array bringing angle-dependent and range-independent beamforming, a new kind of radar system called frequency diverse array (FDA) has been widely used for its ability to generate angle-range-dependent beampattern, which provides a broad prospect of radar application. Nevertheless, FDA beampattern is coupling in the angle and range responses, which results in the difficulty for FDA to differentiate the target in two domains simultaneously. In this paper, a stepped frequency pulse FDA (SFP-FDA) radar is proposed to wipe off the angle-range coupling in FDA and improve the target’s angle and range localization accuracy. Compared to the double-pulse FDA, the proposed system can achieve a better performance in range resolution and multitarget identification. The Cramér-Rao lower bound (CRLB) is derived and used to analyze the performance of the proposed system and double-pulse FDA radar. Numerical results are implemented to verify the validity of the proposed scheme.

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Beamforming of Frequency Diverse Array Radar With Nonlinear Frequency Offset Based on Logistic Map

Cited by 11 publications

References 16 publications

Time‐variant focused range‐angle dependent beampattern synthesis by frequency diverse array radar

Time‐variant focused range‐angle dependent beampattern synthesis by frequency diverse array radar

Subarray‐based coherent pulsed‐LFM frequency diverse array for range resolution enhancement

Stepped Frequency Pulse Frequency Diverse Array Radar for Target Localization in Angle and Range Domains

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