Properties of Dolph-Chebyshev Weighting Functions

Ward, H.R.

doi:10.1109/taes.1973.309781

Cited by 13 publications

(5 citation statements)

References 2 publications

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“…The Dolph Chebyshev. Ward [16]. class of weighting functions is used to shade the arrays in the conventional and adaptive beamformed cases.…”

Section: Hardware Simulation Resultsmentioning

confidence: 99%

Adaptive Digital Sonar Beamforming: A Simulated Hardware Response to Weak Signals

TRIVEDI

2024

Sonar Signal Processing 1991

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“…The Dolph Chebyshev. Ward [16]. class of weighting functions is used to shade the arrays in the conventional and adaptive beamformed cases.…”

Section: Hardware Simulation Resultsmentioning

confidence: 99%

Adaptive Digital Sonar Beamforming: A Simulated Hardware Response to Weak Signals

TRIVEDI

2024

Sonar Signal Processing 1991

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“…This is in contrast with existing linear arrays in which the HPBW is compromised when the PSLR is improved and vice versa. Chebyshev weights are calculated for a given side lobe attenuation (SLA) [35]; therefore, in the results shown here, the SLA values are also mentioned. Figure 3 shows the absolute and normalized beam pattern of the SCASS-C with 14 elements.…”

Section: Scass-cmentioning

confidence: 99%

Semi-Coprime Array with Staggered Beam-Steering of Sub-Arrays

Khan

Shahid

Iqbal

et al. 2023

Sensors

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A split-aperture array (SAA) is an array of sensors or antenna elements in which the array is split into two or more sub-arrays (SAs). Recently proposed SAAs, namely coprime and semi-coprime arrays, offer to attain a small half-power beamwidth (HPBW) with a small number of elements, compared to most conventional unified-aperture arrays, at the cost of reduced peak-to-side-lobe ratio (PSLR). To reduce HPBW and increase PSLR, non-uniform inter-element spacing and excitation amplitudes have proven helpful. However, all the existing arrays and beam-formers suffer increased HPBW, degraded PSLR or both when the main beam is steered away from the broadside. In this paper, we propose staggered beam-steering of SAs, a novel technique for decreasing HPBW. In this technique, we steer the main beams of the SAs of a semi-coprime array to angles slightly different from the desired steering angle. In conjunction with staggered beam-steering of SAs, we have utilized Chebyshev weights to suppress the side lobes. The results show that the beam-widening effect of Chebyshev weights can be mitigated considerably by staggered beam-steering of the SAs. Ultimately, the unified beam-pattern of the whole array offers HPBW and PSLR better than the existing SAAs, uniform and non-uniform linear arrays, especially when the desired steering angle is away from the broadside direction.

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“…The formula for Dolph-Chebychev weighting used in sidelobe suppression are summarized in [78]. The Chebyshev or Tschebyscheff polynomials are defined by a recursion relation [78]: As shown in Fig.3…”

Section: Minimum Beamwidth Sidelobe Controlmentioning

confidence: 99%

“…Then cos(u) is substituted by t/t 0 , where t 0 is the parameter to control the sidelobe levels [78] Eq.3.16…”

Section: Eq315mentioning

confidence: 99%