Relation between the radiation pattern of an array and the two-dimensional discrete Fourier transform

Haykin, S.; Kesler, J.

doi:10.1109/tap.1975.1141074

Cited by 13 publications

(3 citation statements)

References 9 publications

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“…By carefully choosing the frequencies at which the desired response is sampled, it is possible to express the GOB response as a two-dimensional (2-D) discrete Fourier transform of the sensor filter coefficients [13]. In this case, the relationship is …”

Section: Discrete Fourier Transform Designmentioning

confidence: 99%

Broadband nearfield beamforming using a radial beampattern transformation

Kennedy

Abhayapala

Ward

1998

IEEE Trans. Signal Process.

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Abstract-This paper presents a new method of designing a beamformer having a desired nearfield broadband beampattern. The methodology uses the spherical harmonic solution to the wave equation to transform the desired nearfield beampattern to an equivalent farfield beampattern. A farfield beamformer is then designed for a transformed farfield beampattern that, if achieved, gives the desired nearfield pattern exactly. Salient features of the new method are as follows.i) The nearfield patterns can be achieved for all angles, not just the primary look direction. ii) There is no theoretical restriction on the bandwidth. iii) General array geometries may be used. As an illustration, we apply the method to the problem of producing a practical array design that achieves a nearfield beampattern that is frequency invariant over an octave bandwidth, where at the lowest frequency, the array-source separation is three wavelengths.Index Terms-Array processing, broadband beamforming, nearfield beamforming.

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Section: Discrete Fourier Transform Designmentioning

confidence: 99%

Broadband nearfield beamforming using a radial beampattern transformation

Kennedy

Abhayapala

Ward

1998

IEEE Trans. Signal Process.

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“…The beampattern is a function of both direction and frequency. The two-dimensional Fourier transform [62], weighted Chebyshev approximation [63], eigenfilters [64], second-order cone programming (SOCP) [65][66][67][68], vector space projections [69], and some other approaches [70][71][72], have been proposed to synthesize broadband beampatterns. References [73,74] are examples designing broadband beamformers with specified nulls.…”

Section: Iv) Broadband Pattern Synthesismentioning

confidence: 99%

Array signal processing techniques for broadband beamforming

Huang¹

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“…INTRODUCTION "phase mode". In this domain, the frequency response and the spatial response of the signal can be decoupled and adjusted independently [10][11][12]. A recent work produced by Chan et al designed a FI beamformer for all angles using an concentric uniform circular array.…”

Section: Attentionmentioning

confidence: 99%

Frequency-invariant beamforming for circular arrays

Zhang¹

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The third method is the development of the above framework into an adaptive design using a multi-beam structure. In the conventional Generalized Sidelobe Canceller (GSC) structure, the received data signal is projected onto an unconstrained subspace by means of a blocking matrix and a quiescent vector. In this proposed method, the blocking matrix and the quiescent vector are replaced with the FI beampattern synthesis method proposed in this study, and the adaptive weights are calculated using the Least Mean Square (LMS) algorithm. This method effectively transforms the broadband problem into a narrowband problem, and as such only a single weight is required at the output of each FI beamformer. Simulation results show that the proposed multi-beam adaptive beamformer has better performance than that of a recently published algorithm. Overall, this research study has provided a better understanding of the design of broadband FI beamformers using uniform circular arrays. The main contributions include the proposal of three novel algorithms, where simulation results show that they outperform some recently published algorithms. These findings have generated three conference papers (presented), and three journal papers (one in press, one under revision, and another submitted).

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Relation between the radiation pattern of an array and the two-dimensional discrete Fourier transform

Cited by 13 publications

References 9 publications

Broadband nearfield beamforming using a radial beampattern transformation

Broadband nearfield beamforming using a radial beampattern transformation

Array signal processing techniques for broadband beamforming

Frequency-invariant beamforming for circular arrays

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