{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T14:53:36Z","timestamp":1740149616384,"version":"3.37.3"},"reference-count":24,"publisher":"MDPI AG","issue":"23","license":[{"start":{"date-parts":[[2023,11,28]],"date-time":"2023-11-28T00:00:00Z","timestamp":1701129600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"The main characteristics of high-efficiency switching-mode solid-state power amplifiers with envelope elimination and restoration (EER) methods depend on all their elements. In this article, we study the influence of the types and parameters of the envelope path low-pass filters (LPFs) on the EER transmitter out-of-band emissions. This article presents for the first time an analysis of EER transmitter operation where the output impedance of the PWM modulator is not equal to zero, as usual (with a one-sided loaded LPF), but is matched with the low-pass filter and the load (with a double-sided loaded LPF). Theoretical comparisons of EER transmitters\u2019 out-of-band emissions were carried out with four envelope path LPF configurations (one-sided and double-sided loaded LPFs with a smooth and sharp transition, respectively), for both the nominal load (broadband antenna) and resonant antennas with a limited bandwidth. The analysis showed that for the case of transmitter operation on a resonant antenna with a limited bandwidth, the preferable option was the use of a sixth-order double-sided loaded LPF with a smooth transition. The use of the proposed modulator configuration allowed the transmitter to operate on an antenna with VSWR = 1.07 at the edges of the transmitted signal band with a minimum LPF bandwidth equal to 5.8 bands of the amplified signal. This could significantly expand its application capabilities and allow one to reduce the PWM clock frequency and increase efficiency.<\/jats:p>","DOI":"10.3390\/s23239466","type":"journal-article","created":{"date-parts":[[2023,11,28]],"date-time":"2023-11-28T12:41:32Z","timestamp":1701175292000},"page":"9466","source":"Crossref","is-referenced-by-count":7,"title":["Theoretical Comparison of Different Envelope Elimination and Restoration Transmitter PWM Modulator Configurations to Expand the Possible Antenna Mismatch"],"prefix":"10.3390","volume":"23","author":[{"given":"Dang Canh","family":"Nguyen","sequence":"first","affiliation":[{"name":"Department of Radio Equipment and Circuitry, Moscow Technical University of Communication and Informatics, 111024 Moscow, Russia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7977-6172","authenticated-orcid":false,"given":"Victor N.","family":"Gromorushkin","sequence":"additional","affiliation":[{"name":"Department of Radio Equipment and Circuitry, Moscow Technical University of Communication and Informatics, 111024 Moscow, Russia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3996-9156","authenticated-orcid":false,"given":"Oleg","family":"Varlamov","sequence":"additional","affiliation":[{"name":"Department of Radio Equipment and Circuitry, Moscow Technical University of Communication and Informatics, 111024 Moscow, Russia"}]}],"member":"1968","published-online":{"date-parts":[[2023,11,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"20","DOI":"10.36724\/2072-8735-2021-15-6-20-32","article-title":"Comparative analysis of the concept of creation and development of 5G\/IMT-2020 networks in Russia, China, USA and Europe","volume":"15","author":"Daneshmand","year":"2021","journal-title":"T-Comm"},{"key":"ref_2","unstructured":"(2022, October 10). Ericsson Mobility Report. Available online: https:\/\/www.ericsson.com\/49d3a0\/assets\/local\/reports-papers\/mobility-report\/documents\/2022\/ericsson-mobility-report-june-2022.pdf."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1370","DOI":"10.1109\/JRPROC.1935.227299","article-title":"High power outphasing modulation","volume":"23","author":"Chireix","year":"1935","journal-title":"Proc. IRE"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"803","DOI":"10.1109\/JRPROC.1952.273844","article-title":"Single-sideband transmission by envelope elimination and restoration","volume":"40","author":"Kahn","year":"1952","journal-title":"Proc. IRE"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"5231","DOI":"10.1109\/TMTT.2017.2756038","article-title":"Multilevel Supply-Modulated Chireix Outphasing With Continuous Input Modulation","volume":"65","author":"Cappello","year":"2017","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"S22","DOI":"10.1109\/MMM.2012.2216716","article-title":"High-Efficiency Power Amplifiers","volume":"13","author":"Caverly","year":"2012","journal-title":"IEEE Microw. Mag."},{"key":"ref_7","unstructured":"Kozyrev, V.B., Lavrushenkov, V.G., Leonov, V.P., Novikov, G.V., Petyashin, N.B., Popov, I.A., Kharitonov, A.V., and Gromorushkin, V.N. (1985). Transistor Harmonic Oscillators in Switch Mode, Radio and Communication."},{"key":"ref_8","unstructured":"Shakhgildyan, V.V. (2000). Design of Radio Transmitters: Textbook for Universities, Radio and Communication."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Wang, C., Xing, P., Zhang, L., Wang, K., and Li, Y. (2018, January 23\u201327). A Modular Cascaded Multilevel Buck Converter Based on GaN Devices Designed for High Power Envelope Elimination and Restoration Applications. Proceedings of the 2018 IEEE Energy Conversion Congress and Exposition (ECCE), Portland, OR, USA.","DOI":"10.1109\/ECCE.2018.8558052"},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Grebennikov, A., and Franco, M.J. (2021). Switchmode RF and Microwave Power Amplifiers, Academic Press.","DOI":"10.1016\/B978-0-12-821448-0.00007-0"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Argaez-Ramirez, R., Perez-Cisneros, J.-R., and Fager, C. (2021, January 17\u201320). Investigation of power amplifier performance under load mismatch conditions. Proceedings of the 2021 IEEE Topical Conference on RF\/Microwave Power Amplifiers for Radio and Wireless Applications (PAWR), San Diego, CA, USA.","DOI":"10.1109\/PAWR51852.2021.9375507"},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Melvin, S.H., Goldy, M.S., and Ilow, J. (2007, January 14\u201317). Antenna Load Mismatch Effects in EER-Based Transmitters for Digital Audio Broadcasting. Proceedings of the Fifth Annual Conference on Communication Networks and Services Research (CNSR\u201907), Fredericton, NB, Canada.","DOI":"10.1109\/CNSR.2007.16"},{"key":"ref_13","unstructured":"Huber, J. (2009, January 26). DRM on MF and LF, coverage and technical requirements. Proceedings of the EBU-DRM Conference, Geneva, Switzerland. Available online: https:\/\/tech.ebu.ch\/docs\/events\/drm09\/presentations\/ebu_drm09_huber.pdf."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Varlamov, O.V., and Grebennikov, A. (July, January 29). Experimental Studies of Envelope Elimination and Restoration HF Power Amplifier Characteristics with Narrow-band Matched Load. Proceedings of the 2022 Systems of Signal Synchronization, Generating and Processing in Telecommunications (SYNCHROINFO), Arkhangelsk, Russia.","DOI":"10.1109\/SYNCHROINFO55067.2022.9840873"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"5205","DOI":"10.1109\/TMTT.2022.3205586","article-title":"A Dual-Phase Center-Aligned 7-Bit Digital Pulsewidth Modulator for Polar Transmitters","volume":"70","author":"Kuo","year":"2022","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Gromorushkin, V.N., Varlamov, O.V., Dolgopyatova, A.V., and Voronkov, A.A. (2019, January 20\u201321). Operation Problems of the EER Transmitter with Narrowband Antenna. Proceedings of the 2019 Systems of Signals Generating and Processing in the Field of on Board Communications, Moscow, Russia.","DOI":"10.1109\/SOSG.2019.8706736"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Gibiino, G.P., Couvidat, J., Avolio, G., Schreurs, D., and Santarelli, A. (2016, January 27). Supply-terminal 40 MHz BW characterization of impedance-like nonlinear functions for envelope tracking PAs. Proceedings of the ARFTG Microwave Measurement Conference, San Francisco, CA, USA.","DOI":"10.1109\/ARFTG.2016.7501958"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Chen, P., Alt, A., Moreno Rubio, J., Alsahali, S., Lees, J., Quaglia, R., Casbon, M., and Tasker, P.J. (2020, January 16\u201317). Optimizing Linearity of Envelope Tracking Power Amplifier Using Baseband Linearization Approach. Proceedings of the 2020 International Workshop on Integrated Nonlinear Microwave and Millimetre-Wave Circuits (INMMiC), Cardiff, UK.","DOI":"10.1109\/INMMiC46721.2020.9160347"},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Nguyen, D.C., and Varlamov, O.V. (July, January 29). Simulation Model for Switching Mode Envelope Elimination and Restoration RF Power Amplifiers Research. Proceedings of the 2022 Systems of Signal Synchronization, Generating and Processing in Telecommunications (SYNCHROINFO), Arkhangelsk, Russia.","DOI":"10.1109\/SYNCHROINFO55067.2022.9840917"},{"key":"ref_20","unstructured":"(2018). Transmitting Equipment for the Digital Radio Mondiale (DRM) Sound Broadcasting Service (Standard No. ETSI EN 302 245 V2.1.1)."},{"key":"ref_21","unstructured":"Saal, R. (1979). Handbook of Filter Design, AEG-Telefunken."},{"key":"ref_22","unstructured":"(2023, January 08). Nautel J1000 1000 Watt AM Broadcast Transmitter. Repair Manual. Issue 5.0. Available online: https:\/\/www.manualslib.com\/download\/1279856\/Nautel-J1000.html."},{"key":"ref_23","unstructured":"(2023, January 08). Harris DAX Transmitter Schematic Album. Available online: http:\/\/www.broadcastengineering.info\/download\/file.php?id=550&sid=07638ff6e2d0e62d7925187ca73f8d30."},{"key":"ref_24","unstructured":"Aizenberg, G.Z., Belousov, S.P., Zhurbenko, E.M., Kliger, G.A., and Kurashov, A.G. (1985). Shortwave Antennas, Radio and Communication."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/23\/23\/9466\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,28]],"date-time":"2023-11-28T13:05:25Z","timestamp":1701176725000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/23\/23\/9466"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,11,28]]},"references-count":24,"journal-issue":{"issue":"23","published-online":{"date-parts":[[2023,12]]}},"alternative-id":["s23239466"],"URL":"https:\/\/doi.org\/10.3390\/s23239466","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2023,11,28]]}}}