Investigation on microwave photonic filter group delay performance

Bijuan Chen; Erwin H. W. Chan; Xinhuan Feng; Xudong Wang; Bai-Ou Guan

doi:10.3788/COL201715.080604

Journals >Chinese Optics Letters >Volume 15 >Issue 8 >Page 080604 > Article

Chinese Optics Letters
Vol. 15, Issue 8, 080604 (2017)

Investigation on microwave photonic filter group delay performance

Bijuan Chen¹, Erwin H. W. Chan², Xinhuan Feng¹, Xudong Wang^1、*, and Bai-Ou Guan¹

Author Affiliations

¹Guangdong Provincial Key Laboratory of Optical Fiber Sensing and Communications, Institute of Photonics Technology, Jinan University, Guangzhou 510632, China

²School of Engineering and Information Technology, Charles Darwin University, Darwin NT 0909, Australia

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DOI: 10.3788/COL201715.080604 Cite this Article Set citation alerts

Bijuan Chen, Erwin H. W. Chan, Xinhuan Feng, Xudong Wang, Bai-Ou Guan. Investigation on microwave photonic filter group delay performance[J]. Chinese Optics Letters, 2017, 15(8): 080604 Copy Citation Text

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Abstract

Investigation on the group delay performance of microwave photonic filters is presented. Analysis and simulation results show symmetrical distribution on the delayed optical signals in the impulse response is required to obtain a constant group delay performance. Experimental results for both symmetrical and asymmetrical tap distribution microwave photonic notch filters are presented showing the group delay response with

< \pm 25 ps

and around 1 ns ripples, respectively.

H (t) = a δ (t - τ_{1}) + b δ (t - τ_{2}) + b δ (t - τ_{3}) + c δ (t - τ_{4}) + c δ (t - τ_{5}) + \dots,

(1)

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H (ω) = a e^{- j ω τ_{1}} + b e^{- j ω τ_{2}} + b e^{- j ω τ_{3}} + c e^{- j ω τ_{4}} + c e^{- j ω τ_{5}} + \dots,

(2)

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H (ω) = a e^{- j ω τ_{1}} + b e^{- j ω \frac{τ_{2} + τ_{3}}{2}} (2 \cos ω \frac{τ_{2} - τ_{3}}{2}) + c e^{- j ω \frac{τ_{4} + τ_{5}}{2}} (2 \cos ω \frac{τ_{4} - τ_{5}}{2}) + \dots .

(3)

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τ_{1} = \frac{τ_{2} + τ_{3}}{2} = \frac{τ_{4} + τ_{5}}{2} = \dots .

(4)

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H (ω) = (\begin{matrix} a + 2 b \cos ω \frac{τ_{2} - τ_{3}}{2} \end{matrix} \begin{array}{l} + 2 c \cos ω \frac{τ_{4} - τ_{5}}{2} + \dots \end{array}) e^{- j ω τ_{1}} .

(5)

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ϕ (ω) = - ω τ_{1},

(6)

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A (ω) = (a + 2 b \cos ω \frac{τ_{2} - τ_{3}}{2} + 2 c \cos ω \frac{τ_{4} - τ_{5}}{2} + \dots) .

(7)

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G D (ω) = - \frac{d ϕ (ω)}{d (ω)} = - \frac{d (- ω τ_{1})}{d (ω)} = τ_{1} .

(8)

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H (ω) = (\begin{matrix} 2 a \sin ω \frac{τ_{2} - τ_{3}}{2} \end{matrix} + 2 b \sin ω \frac{τ_{4} - τ_{1}}{2} + \begin{matrix} \dots \end{matrix}) e^{- j ω τ} e^{- j π / 2},

(9)

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τ = \frac{τ_{2} + τ_{3}}{2} = \frac{τ_{1} + τ_{4}}{2} = \dots .

(10)

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Bijuan Chen, Erwin H. W. Chan, Xinhuan Feng, Xudong Wang, Bai-Ou Guan. Investigation on microwave photonic filter group delay performance[J]. Chinese Optics Letters, 2017, 15(8): 080604

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