Concurrent photonic measurement of angle-of-arrival and chirp rate of microwave LFM signal

Shangyuan Li; Haidong Cao; Xiaoping Zheng

doi:10.3788/COL202018.123902

Journals >Chinese Optics Letters >Volume 18 >Issue 12 >Page 123902 > Article

Chinese Optics Letters
Vol. 18, Issue 12, 123902 (2020)

Concurrent photonic measurement of angle-of-arrival and chirp rate of microwave LFM signal

Shangyuan Li^*, Haidong Cao, and Xiaoping Zheng

Author Affiliations

Beijing National Research Center for Information Science and Technology, Department of Electronic Engineering, Tsinghua University, Beijing 100084, China

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DOI: 10.3788/COL202018.123902 Cite this Article Set citation alerts

Shangyuan Li, Haidong Cao, Xiaoping Zheng. Concurrent photonic measurement of angle-of-arrival and chirp rate of microwave LFM signal[J]. Chinese Optics Letters, 2020, 18(12): 123902 Copy Citation Text

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Abstract

A photonic approach to concurrently measure the angle-of-arrival (AOA) and the chirp rate of a linear frequency modulated (LFM) signal is proposed and experimentally demonstrated. The measurement is achieved by estimating the differential frequency of a two-tone signal output by a dual-parallel Mach–Zehnder modulator and an additional asymmetry Mach–Zehnder interferometer. Experiments show that the AOA and the chirp rate are measured simultaneously, with an AOA measurement error of

\pm 0.1 °

at an signal-to-noise ratio (SNR) of 9.6 dB. When the SNR is -10.4 dB, the AOA error is

\pm 1.3 °

, and the chirp rate, measured as

210.2 \pm 1.5 Hz / ps

, has a standard deviation of

0.7 %

. The measured chirp rate agrees well with the real LFM signal.

Keywords

angle of arrival interferometer linear frequency modulation microwave photonics

τ = L \cdot \cos θ / c .

(1)

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s (t) = A \cos [2 π (f_{0} t + \frac{1}{2} k t^{2})],

(2)

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f = k \cdot τ .

(3)

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\cos θ = f \cdot c / L k .

(4)

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\frac{δ \cos θ}{\cos θ} = \frac{δ f}{f} + \frac{δ k}{k} + \frac{δ L}{L} .

(5)

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i (t) \propto s (t) \cdot s (t + τ) \overset{L P F}{\to} \cos 2 π (k τ t + f_{0} τ + \frac{1}{2} k τ^{2}) .

(6)

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τ_{1} = T_{B} + T_{0} - T_{A} - τ,

(7)

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τ_{2} = T_{B} + T_{0} + T_{D} - T_{A} - τ,

(8)

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f_{1} = | k \cdot τ_{1} |, f_{2} = | k \cdot τ_{2} | .

(9)

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| k | = | f_{2} - f_{1} | / (τ_{2} - τ_{1}) = | Δ f | / T_{D} .

(10)

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T_{R} = T_{B} + T_{0} - T_{A} > τ_{\max},

(11)

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f_{1} = | k | \cdot τ_{1},

(12)

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f_{2} = | k | \cdot τ_{2} .

(13)

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θ = \arccos (τ \cdot c / L) = \arccos [(T_{R} - \frac{T_{D} \cdot f_{1}}{| f_{2} - f_{1} |}) \cdot c / L] .

(14)

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Shangyuan Li, Haidong Cao, Xiaoping Zheng. Concurrent photonic measurement of angle-of-arrival and chirp rate of microwave LFM signal[J]. Chinese Optics Letters, 2020, 18(12): 123902

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