DOĞRUSAL OLMAYAN OPTOELEKTRONİK GERİ BESLEMELİ LAZER DİYODUN ÜÇ TON KÜÇÜK İŞARET GİRİŞLİ İNTERMODULASYON DİSTORSİYON SİSTEM TEORİSİ

Bu çalışmada doğrusal olmayan optoelektronik geribeslemeli lazer diyot sistemi için Volterra güç seri açınımı kullanılarak üç ton küçük işaret girişi için sistemin distorsiyon analizi yapılmıştır. Analiz için intermodülasyon distorsiyon (IMD) uygulamalarında kullanılan frekans bileşenleri seçilmiştir. Bunlar; ( 1 2 ) ω −ω , ( ), 1 2 ω +ω ( ) 1 3 ω +ω , ( ), 1 3 ω −ω ( ), 2 3 ω −ω ( ) 2 3 ω +ω , ( ) 1 2 3 ω +ω +ω , ( ), 1 2 3 ω +ω −ω ( ) 1 2 3 −ω +ω +ω ve ( ) 1 2 3 ω −ω +ω IMD frekans bileşenleridir. Bu frekans bileşenlerin genliklerinin hesaplanmasında sistem yaklaşımı yapılarak, lazer diyot oran eşitlikleri üçüncü dereceye kadar seri açınımı yapılmıştır. Volterra operatöründen H1, H2 ve H3 Volterra çekirdekleri ve bunlardan seçilmiş olan IMD frekans bileşenlerinin transfer fonksiyonları elde edilmiştir. Bu IMD frekans bileşenlerinin genlikleri geribesleme sabiti (K) ve zaman gecikmesine ( o t )’a bağlı olarak elde edilmiştir. Analiz sonucunda bazı IMD frekans bileşenleri arasında asimetrik durum bulunmuştur.

Anahtar Kelimeler:

lazer diyot, volterra serisi, intermodülasyon, harmonik distorsiyon, doğrusal olmayan distorsiyon, optoelektronik geribesleme, elektronik geribesleme, kenarband asimetrisi, doğrusal olmayan geribesleme.

INTERMODULATION DISTORTION SYSTEM THEORY OF THE THREE-TONE SMALL SIGNAL INPUT LASER DIODE WITH NON-LINEAR OPTOELECTRONIC FEEDBACK

In this study, Volterra power series expansion is performed successfully in order to analyse the distortion forthree tone small signal with non-linear optoelectronic feedback laser diode system input. The frequency components which are used in intermodulation distortion (IMD) applications are selected in the analysis. These are( ) ω1 −ω2 , ( ), ω1 +ω2 ( ) ω1 +ω3 , ( ), ω1 −ω3 ( ), ω2 −ω3 ( ) ω2 +ω3 , ( ) ω1 +ω2 +ω3 , ( ), ω1 +ω2 −ω3 ( ) −ω1 +ω2 +ω3 and( ) ω1 −ω2 +ω3 During the calculation of the amplitudes of these selected frequency components, system approach is performed and series expansion of the laser diode rate equations is obtained up to third order degree.From the Volterra operator, H1, H2 and H3 Volterra kernels are computed. Then the transfer functions of theIMD frequency components are obtained. The amplitudes of the IMD frequency components is found with respect to feedback constant (K) and time delay ( ot ). At the end of the analysis asymmetry is determined in someof the IMD frequency components.

Keywords:

Laser diode, volterra series, intermodulation, harmonic distortion, non-linear distortion, optoelectronics feedback, electronics feedback, sideband asymmetry, non-linear optoelectronic feedback,

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