A direction of arrival estimation method for spatial optical beam-forming network

Wu, Liuli; Liu, Zhang‐Meng; Jiang, Wen

doi:10.1007/s11082-015-0191-5

Cited by 2 publications

(5 citation statements)

References 15 publications

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“…1. This system is composed of four basic parts [1–10, 14, 15] and their functions are briefly introduced below. The RF part consists of N antennas to receive RF signals.…”

Section: Problem Formulationmentioning

confidence: 99%

“…References [14, 15] establish the observation model of SOBFN for narrowband signal reception. However, the situation is a little different when it comes to wideband signal.…”

Section: Problem Formulationmentioning

confidence: 99%

“…The modulated lights are then radiated into the free space through the optical waveguides. The Fourier transform (FT) lens in the space converges all the radiated optical beams to the image plane [14, 15]. So, the field intensity in

false(x, y false)

in the image plane can be expressed as

\begin{matrix} right leftthickmathspace.5em \\ u (x, y, t) = \frac{\exp (j 2 k F)}{j λ F} \exp (][, - \frac{x^{2} + y^{2}}{{()(, λ F / π w_{0})}^{2}}) \\ \cdot π w_{0}^{2} {false\sum}_{n = 1}^{N} \exp (][, - normalj \frac{k}{F} x_{0, n} x - j 2 π s (t - τ_{n}) - j ω t) \end{matrix}

where F is the focal length of the FT lens,

λ

denotes the wavelength of the modulated light,

k = 2 π / λ

is the wave number, and

x_{0, n}

is the X coordinate of the

n th

waveguide in the focal plane.…”

Section: Problem Formulationmentioning

confidence: 99%

“…The sampled signal in each fibre is then mixed with the reference beam and downconverted to the RF or intermediate frequency in the photodetector (PD). The output current of the

m th

PD is represented as [14, 15]

i_{m} = {|u (x_{m}, 0, t)|}^{2} = I_{DC : m} + I_{RF : m} \cos false[B_{m} false], m = 1, 2, \dots, M

where

I_{DC : m} = false(1 + A_{m}^{2} false) {[\frac{π w_{0}^{2}}{λ F} \exp ()(, - \frac{x_{m}^{2}}{{()(, false(λ F / π w_{0} false))}^{2}})]}^{2}

I_{RF : m} = 2 A_{m} {[\frac{π w_{0}^{2}}{λ F} \exp ()(, - \frac{x_{m}^{2}}{{()(, false(λ F / π w_{0} false))}^{2}})]}^{2}

\begin{matrix} right leftthickmathspace.5em \\ A_{m} \exp (- j B_{m}) = \exp [j (- 2 π f_{c} t - π μ t^{2} - 2)] \end{matrix}

…”

Section: Problem Formulationmentioning

confidence: 99%

“…Some high‐resolution methods have already been addressed with respect to traditional electronic array systems [11–13]. However, public literatures [14, 15] show that the application of optical procedure greatly changes the signal observation model of SOBFN, so conventional wideband direction finding (DF) methods cannot be directly applied in this system. Despite the need to solve the broadband DOA estimation problem in SOBFN, the results in the literature are rather limited.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Wideband DOA estimation for SOBFN

Liu.

Huang

2017

IET Radar, Sonar & Navigation

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“…1. This system is composed of four basic parts [1–10, 14, 15] and their functions are briefly introduced below. The RF part consists of N antennas to receive RF signals.…”

Section: Problem Formulationmentioning

confidence: 99%

“…References [14, 15] establish the observation model of SOBFN for narrowband signal reception. However, the situation is a little different when it comes to wideband signal.…”

Section: Problem Formulationmentioning

confidence: 99%

false(x, y false)

in the image plane can be expressed as

\begin{matrix} right leftthickmathspace.5em \\ u (x, y, t) = \frac{\exp (j 2 k F)}{j λ F} \exp (][, - \frac{x^{2} + y^{2}}{{()(, λ F / π w_{0})}^{2}}) \\ \cdot π w_{0}^{2} {false\sum}_{n = 1}^{N} \exp (][, - normalj \frac{k}{F} x_{0, n} x - j 2 π s (t - τ_{n}) - j ω t) \end{matrix}

where F is the focal length of the FT lens,

λ

denotes the wavelength of the modulated light,

k = 2 π / λ

is the wave number, and

x_{0, n}

is the X coordinate of the

n th

waveguide in the focal plane.…”

Section: Problem Formulationmentioning

confidence: 99%

“…The sampled signal in each fibre is then mixed with the reference beam and downconverted to the RF or intermediate frequency in the photodetector (PD). The output current of the

m th

PD is represented as [14, 15]

i_{m} = {|u (x_{m}, 0, t)|}^{2} = I_{DC : m} + I_{RF : m} \cos false[B_{m} false], m = 1, 2, \dots, M

where

I_{DC : m} = false(1 + A_{m}^{2} false) {[\frac{π w_{0}^{2}}{λ F} \exp ()(, - \frac{x_{m}^{2}}{{()(, false(λ F / π w_{0} false))}^{2}})]}^{2}

I_{RF : m} = 2 A_{m} {[\frac{π w_{0}^{2}}{λ F} \exp ()(, - \frac{x_{m}^{2}}{{()(, false(λ F / π w_{0} false))}^{2}})]}^{2}

\begin{matrix} right leftthickmathspace.5em \\ A_{m} \exp (- j B_{m}) = \exp [j (- 2 π f_{c} t - π μ t^{2} - 2)] \end{matrix}

…”

Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Wideband DOA estimation for SOBFN

Liu.

Huang

2017

IET Radar, Sonar & Navigation

View full text Add to dashboard Cite

A direction finding method for spatial optical beam-forming network based on sparse Bayesian learning

Liu

Wen-li

2016

SIViP

Self Cite

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This paper addresses the problem of directionof-arrival (DOA) estimation of multiple sources for spatial optical beam forming network (SOBFN). A method which utilizes sparse Bayesian learning techniques to reconstruct the spatial power spectrum of the signals is proposed. The reconstruction procedure takes advantage of the amplitude distribution of the fiber-array output and the spatial sparsity of the incident signals. The reconstructed spectrum contains some evident peaks that indicate the coarse directions of the radiation sources. Then, a linear interpolation procedure is applied to make the DOA estimation results more precise. Sufficient numerical simulations are carried out to verify the performance of the proposed algorithm. Simulation results show that the proposed method fits well with the signal model of SOBFN and has favorable DOA estimation performance.

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A direction of arrival estimation method for spatial optical beam-forming network

Cited by 2 publications

References 15 publications

Wideband DOA estimation for SOBFN

Wideband DOA estimation for SOBFN

A direction finding method for spatial optical beam-forming network based on sparse Bayesian learning

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