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    Application of memristors in realization of microwave passive circuits

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    ΠŸΡ€Π΅Π΄ΠΌΠ΅Ρ‚ ΠΈΡΡ‚Ρ€Π°ΠΆΠΈΠ²Π°ΡšΠ° ΠΎΠ²Π΅ докторскС Π΄ΠΈΡΠ΅Ρ€Ρ‚Π°Ρ†ΠΈΡ˜Π΅ јС ΠΏΡ€ΠΈΠΌΡ˜Π΅Π½Π° мСмристора Ρƒ Ρ€Π΅Π°Π»ΠΈΠ·Π°Ρ†ΠΈΡ˜ΠΈ ΠΏΠ»Π°Π½Π°Ρ€Π½ΠΈΡ… микроталасних пасивних ΠΊΠΎΠ»Π°. Π£ фокусу ΠΈΡΡ‚Ρ€Π°ΠΆΠΈΠ²Π°ΡšΠ° јС микроталасни ΠΏΠΎΠΌΡ˜Π΅Ρ€Π°Ρ‡ Ρ„Π°Π·Π΅ остварСн ΠΊΠΎΡ€ΠΈΡˆΡ›Π΅ΡšΠ΅ΠΌ мСмристивних ΠΏΡ€Π΅ΠΊΠΈΠ΄Π°Ρ‡Π°. Π˜ΡΡ‚Ρ€Π°ΠΆΠΈΠ²Π°ΡšΠ΅ ΠΎΠ±ΡƒΡ…Π²Π°Ρ‚Π° ΠΈ Ρ€Π΅Π°Π»ΠΈΠ·Π°Ρ†ΠΈΡ˜Ρƒ микроталасних Ρ„ΠΈΠ»Ρ‚Π°Ρ€Π° са мСмристорима. Π¦ΠΈΡ™ ΠΈΡΡ‚Ρ€Π°ΠΆΠΈΠ²Π°ΡšΠ° јС Ρ€Π΅Π°Π»ΠΈΠ·Π°Ρ†ΠΈΡ˜Π° микроталасног ΠΏΠΎΠΌΡ˜Π΅Ρ€Π°Ρ‡Π° Ρ„Π°Π·Π΅ који ΠΈΠΌΠ° Π±ΠΎΡ™Π΅ карактСристикС Ρƒ односу Π½Π° карактСристикС ΠΎΠ΄Π³ΠΎΠ²Π°Ρ€Π°Ρ˜ΡƒΡ›ΠΈΡ… ΠΏΠΎΠΌΡ˜Π΅Ρ€Π°Ρ‡Π° Ρ„Π°Π·Π΅ ΠΎΠ±Ρ˜Π°Π²Ρ™Π΅Π½ΠΈΡ… Ρƒ Π΄ΠΎΡΡ‚ΡƒΠΏΠ½ΠΎΡ˜ ΠΎΡ‚Π²ΠΎΡ€Π΅Π½ΠΎΡ˜ Π»ΠΈΡ‚Π΅Ρ€Π°Ρ‚ΡƒΡ€ΠΈ, Π° који користС Ρ‚Ρ€Π°Π΄ΠΈΡ†ΠΈΠΎΠ½Π°Π»Π½Π΅ ΠΏΡ€Π΅ΠΊΠΈΠ΄Π°Ρ‡Π΅ ΠΊΠ°ΠΎ ΡˆΡ‚ΠΎ су PIN Π΄ΠΈΠΎΠ΄Π΅, ΠΌΠΈΠΊΡ€ΠΎΠ΅Π»Π΅ΠΊΡ‚Ρ€ΠΎΠΌΠ΅Ρ…Π°Π½ΠΈΡ‡ΠΊΠΈ ΠΏΡ€Π΅ΠΊΠΈΠ΄Π°Ρ‡ΠΈ ΠΈ CMOS. Π’Π°ΠΊΠΎΡ’Π΅, Ρ†ΠΈΡ™ ΠΈΡΡ‚Ρ€Π°ΠΆΠΈΠ²Π°ΡšΠ° прСдставља ΠΈ Π°Π½Π°Π»ΠΈΠ·Π° ΠΌΠΎΠ³ΡƒΡ›ΠΈΡ… Ρ€Π΅Π°Π»ΠΈΠ·Π°Ρ†ΠΈΡ˜Π° микроталасних Ρ„ΠΈΠ»Ρ‚Π°Ρ€Π° ΠΊΠΎΡ€ΠΈΡˆΡ›Π΅ΡšΠ΅ΠΌ мСмристора. Доприноси Π΄ΠΈΡΠ΅Ρ€Ρ‚Π°Ρ†ΠΈΡ˜Π΅ су Π½ΠΎΠ² ΠΌΠ΅Ρ‚ΠΎΠ΄ ΠΏΡ€ΠΎΡ˜Π΅ΠΊΡ‚ΠΎΠ²Π°ΡšΠ° ΠΏΠΎΠΌΡ˜Π΅Ρ€Π°Ρ‡Π° Ρ„Π°Π·Π΅, ΠΊΠΎΡ€ΠΈΡˆΡ›Π΅ΡšΠ΅ΠΌ мСмристора, Π° којим сС ΡΠΌΠ°ΡšΡƒΡ˜Π΅ ΠΏΠΎΡ‚Ρ€ΠΎΡˆΡšΠ° ΡƒΡ€Π΅Ρ’Π°Ρ˜Π° ΠΈ ΠΏΠΎΠΏΡ€Π°Π²Ρ™Π° константност Ρ„Π°Π·Π½ΠΎΠ³ ΠΏΠΎΠΌΡ˜Π΅Ρ€Π°Ρ˜Π° Ρƒ спСцифицираном Ρ„Ρ€Π΅ΠΊΠ²Π΅Π½Ρ†ΠΈΡ˜ΡΠΊΠΎΠΌ опсСгу. ΠŸΡ€ΠΈ Ρ€Π΅Π°Π»ΠΈΠ·Π°Ρ†ΠΈΡ˜ΠΈ Ρ„ΠΈΠ»Ρ‚Π°Ρ€Π°, ΠΊΠΎΡ€ΠΈΡˆΡ›Π΅ΡšΠ΅ΠΌ мСмристора потиснути су Π½Π΅ΠΆΠ΅Ρ™Π΅Π½ΠΈ пропусни опсСзи, Ρ€Π΅Π°Π»ΠΈΠ·ΠΎΠ²Π°Π½ јС Ρ€Π΅ΠΊΠΎΠ½Ρ„ΠΈΠ³ΡƒΡ€Π°Π±ΠΈΠ»Π½ΠΈ Ρ„ΠΈΠ»Ρ‚Π°Ρ€ ΠΊΠΎΡ€ΠΈΡˆΡ›Π΅ΡšΠ΅ΠΌ мСмристивних ΠΏΡ€Π΅ΠΊΠΈΠ΄Π°Ρ‡Π°. ΠŸΠΎΡ€Π΅Π΄ Ρ‚ΠΎΠ³Π°, ΠΏΡ€ΠΎΡ˜Π΅ΠΊΡ‚ΠΎΠ²Π°Π½ јС Ρ…Π°Ρ€Π΄Π²Π΅Ρ€ Π·Π° аутоматско ΠΏΡ€ΠΎΠ³Ρ€Π°ΠΌΠΈΡ€Π°ΡšΠ΅ ΠΊΠΎΠΌΠ΅Ρ€Ρ†ΠΈΡ˜Π°Π»Π½ΠΎ доступног мСмристора компанијС KnowM, Ρ€Π°Π·Π²ΠΈΡ˜Π΅Π½ јС Π°Π»Π³ΠΎΡ€ΠΈΡ‚Π°ΠΌ ΠΈ софтвСр ΠΌΠΈΠΊΡ€ΠΎΠΊΠΎΠ½Ρ‚Ρ€ΠΎΠ»Π΅Ρ€Π° који ΠΎΠΌΠΎΠ³ΡƒΡ›Π°Π²Π° аутоматско ΠΏΡ€ΠΎΠ³Ρ€Π°ΠΌΠΈΡ€Π°ΡšΠ΅, ΠΊΠ°ΠΎ ΠΈ софтвСр прСносивог ΠΈΠ»ΠΈ ΡƒΠ΄Π°Ρ™Π΅Π½ΠΎΠ³ ΡƒΡ€Π΅Ρ’Π°Ρ˜Π° Π·Π° ΠΊΠΎΠ½Ρ‚Ρ€ΠΎΠ»Ρƒ Ρ€Π°Π΄Π° ΠΌΠΈΠΊΡ€ΠΎΠΊΠΎΠ½Ρ‚Ρ€ΠΎΠ»Π΅Ρ€Π°. ΠŸΡ€ΠΎΡ˜Π΅ΠΊΡ‚ΠΎΠ²Π°Π½Π° су Π΅Π»Π΅ΠΊΡ‚Ρ€ΠΈΡ‡Π½Π° ΠΊΠΎΠ»Π° остварСна ΠΊΠΎΡ€ΠΈΡˆΡ›Π΅ΡšΠ΅ΠΌ ΠΊΠΎΠΌΠ΅Ρ€Ρ†ΠΈΡ˜Π°Π»Π½ΠΎ доступног мСмристора. ΠŸΡ€Π΅Π΄Π»ΠΎΠΆΠ΅Π½ јС ΠΌΠΎΠ΄Π΅Π» Π·Π° Ρ„Ρ€Π΅ΠΊΠ²Π΅Π½Ρ†ΠΈΡ˜ΡΠΊΡƒ Π°Π½Π°Π»ΠΈΠ·Ρƒ ΠΊΠΎΠΌΠ΅Ρ€Ρ†ΠΈΡ˜Π°Π»Π½ΠΎ доступног мСмристора Π½Π° учСстаностима Π΄ΠΎ 1 MHz. ΠŸΡ€ΠΎΡ˜Π΅ΠΊΡ‚ΠΎΠ²Π°Π½ јС Π°ΠΊΡ‚ΠΈΠ²Π½ΠΈ Ρ„ΠΈΠ»Ρ‚Π°Ρ€ пропусник опсСга, који ΠΈΠΌΠ° могућност подСшавања Ρ†Π΅Π½Ρ‚Ρ€Π°Π»Π½Π΅ Ρ„Ρ€Π΅ΠΊΠ²Π΅Π½Ρ†ΠΈΡ˜Π΅ ΠΏΡ€ΠΈ Ρ€Π°Π΄Π½ΠΎΠΌ Ρ€Π΅ΠΆΠΈΠΌΡƒ. Π—Π° СкспСримСнталну Π²Π΅Ρ€ΠΈΡ„ΠΈΠΊΠ°Ρ†ΠΈΡ˜Ρƒ Ρ€Π°Π΄Π° ΠΏΡ€ΠΎΠ³Ρ€Π°ΠΌΠ°Ρ‚ΠΎΡ€Π° ΠΈ Π΅Π»Π΅ΠΊΡ‚Ρ€ΠΈΡ‡Π½ΠΈΡ… ΠΊΠΎΠ»Π° Π½Π°ΠΏΡ€Π°Π²Ρ™Π΅Π½ΠΈ су Π»Π°Π±ΠΎΡ€Π°Ρ‚ΠΎΡ€ΠΈΡ˜ΡΠΊΠΈ ΠΏΡ€ΠΎΡ‚ΠΎΡ‚ΠΈΠΏΠΎΠ²ΠΈ.The scope of the research presented in this doctoral dissertation is the application of memristors in the realization of planar microwave passive circuits. The focus of the research was the microwave phase shifter realized using memristive switches. In addition, the research includes the realization of microwave filters by incorporating memristors. The aim of the research is the realization of a microwave phase shifter with better characteristics compared to the characteristics of phase shifters available in the open literature, which use traditional switches like PIN diodes, microelectromechanical systems, and CMOS. Also, the aim of the research is the analysis of microwave filters with incorporated memristors. The contribution of the doctoral dissertation is a novel method of designing microwave phase shifters - by using memristors which reduces the power consumption of the device and improves the constancy of the phase shift in the specified frequency range. By using memristors in the realization of filters, unwanted bandwidths are suppressed, and a reconfigurable filter is realized by using memristive switches. In addition, hardware for the automatic programming of KnowM's commercially available memristors has been designed, an algorithm and microcontroller software that enables automatic programming have been developed, as well as software for a portable or remote device to control the operation of the microcontroller. Electrical circuits designed using the commercially available memristor were realized. A frequency analysis model of the commercially available memristor at frequencies of up to 1 MHz has been proposed. An active bandpass filter has been designed, which has the ability to tune the center frequency during operation. Laboratory prototypes were made for the experimental verification of the operation of programmers and electrical circuits
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