Broadband instantaneous multi-frequency measurement based on chirped pulse compression

Beibei Zhu; Min Xue; Changyuan Yu; Shilong Pan

doi:10.3788/COL202119.101202

Journals >Chinese Optics Letters >Volume 19 >Issue 10 >Page 101202 > Article

Chinese Optics Letters
Vol. 19, Issue 10, 101202 (2021)

Broadband instantaneous multi-frequency measurement based on chirped pulse compression

Beibei Zhu¹, Min Xue^1、2、*, Changyuan Yu², and Shilong Pan^1、**

Author Affiliations

¹Key Laboratory of Radar Imaging and Microwave Photonics, Ministry of Education, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

²Department of Electronic and Information Engineering, The Hong Kong Polytechnic University, Hong Kong, China

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DOI: 10.3788/COL202119.101202 Cite this Article Set citation alerts

Beibei Zhu, Min Xue, Changyuan Yu, Shilong Pan. Broadband instantaneous multi-frequency measurement based on chirped pulse compression[J]. Chinese Optics Letters, 2021, 19(10): 101202 Copy Citation Text

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Abstract

A broadband instantaneous multi-frequency measurement system based on chirped pulse compression, which potentially has a sub-megahertz (MHz) accuracy and a hundred-gigahertz (GHz) measurement range, is demonstrated. A signal-under-test (SUT) is converted into a carrier-suppressed double-sideband (CS-DSB) signal, which is then combined with an optical linearly frequency-modulated signal having the sweeping range covering the +1st-order sideband of the CS-DSB signal. With photodetection, low-pass filtering, and pulse compression, accurate frequencies of the SUT are obtained via locating the correlation peaks. In the experiment, single- and multi-frequency measurements with a measurement range from 3 to 18 GHz and a measurement accuracy of <±100 MHz are achieved.

Keywords

chirped pulse compression frequency-to-time mapping instantaneous frequency measurement microwave photonics

p (t) \propto E_{0} J_{- 1} (β) \exp [j 2 π (f_{0} - f_{SUT}) t] + E_{0} J_{+ 1} (β) \exp [j 2 π (f_{0} + f_{SUT}) t],

(1)

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r (t) = E_{LFM} \exp (j 2 π f_{c} t + j π K t^{2}), 0 \leq t \leq T,

(2)

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S_{p} (t) \propto {‖ p (t) + r (t) ‖}^{2} \propto Re {rect [(t - Δ t) / T_{s}] \exp [j π K t^{2} - j 2 π f_{SUT} t]} = rect [(t - Δ t) / T_{s}] \cos [π K {(t - Δ t)}^{2} - π K Δ t^{2}] = Re {rect [(t - Δ t) / T_{s}] \exp [j π K {(t - Δ t)}^{2} - j π K Δ t^{2}]},

(3)

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Δ t = f_{SUT} / K .

(4)

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S_{r} (t) = Re [rect (t / T) \exp (j π K t^{2})] .

(5)

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R (t) = S_{p}^{*} (- t) \cdot S_{r} (t) = \frac{1}{2} α (t) sinc [π K (Δ t + t) α (t)] \cos (2 π γ t + φ),

(6)

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α (t) = {\begin{matrix} (T_{s} + T) / 2 + t + Δ t, & - (T_{s} + T) / 2 - Δ t \leq t < (T_{s} - T) / 2 - Δ t \\ T_{s}, & (T_{s} - T) / 2 - Δ t \leq t < (T - T_{s}) / 2 - Δ t \\ (T_{s} + T) / 2 - t - Δ t, & (T - T_{s}) / 2 - Δ t \leq t < (T_{s} + T) / 2 - Δ t \\ 0, & otherwise \end{matrix},

(7)

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γ = {\begin{matrix} K (T_{s} - T) / 4, & - (T_{s} + T) / 2 - Δ t \leq t < (T_{s} - T) / 2 - Δ t \\ K (t / 2 + Δ t), & (T_{s} - T) / 2 - Δ t \leq t < (T - T_{s}) / 2 - Δ t \\ K (T_{s} + T) / 4, & (T - T_{s}) / 2 - Δ t \leq t < (T_{s} + T) / 2 - Δ t \\ 0, & otherwise \end{matrix},

(8)

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φ = {\begin{matrix} π K Δ t [Δ t - (T - T_{s}) / 2], & - (T_{s} + T) / 2 - Δ t \leq t < (T_{s} - T) / 2 - Δ t \\ 2 π K Δ t^{2}, & (T_{s} - T) / 2 - Δ t \leq t < (T - T_{s}) / 2 - Δ t \\ π K Δ t [Δ t + (T - T_{s}) / 2], & (T - T_{s}) / 2 - Δ t \leq t < (T_{s} + T) / 2 - Δ t \\ 0, & otherwise \end{matrix} .

(9)

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Beibei Zhu, Min Xue, Changyuan Yu, Shilong Pan. Broadband instantaneous multi-frequency measurement based on chirped pulse compression[J]. Chinese Optics Letters, 2021, 19(10): 101202

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