A.P. Trifonov - Dr. Sc. (Eng.), Professor, Head of Department of Radiophysics, Voronezh State University. E-mail: trifonov@phys.vsu.ru Yu.E. Korchagin - Dr. Sc. (Phys.-Math.), Associate Professor, Department of Radiophysics, Voronezh State University. E-mail: korchagin@phys.vsu.ru K.D. Titov - Post-graduate Student, Department of Radiophysics, Voronezh State University. E-mail: titovkd@gmail.com

The article contains quasi-likelihood and maximum-likelihood amplitude estimation algorithm of ultra-wideband quasi radio signal with unknown duration and initial phase. Under the ultra-wideband quasi radio signal is understood the signal, the structure of which is similar to narrowband radio signal without performed relatively narrow bandwidth condition. Proposed flowchart devices generating amplitude estimate. The comparison of the complexity of the technical or software implementation of the synthesized algorithms is performed. It is shown that the maximum likelihood estimation algorithm is more complex than quasi-likelihood algorithm. The analysis of the synthesized algorithms is fulfilled, the accuracy of amplitude estimates characteristics is found. It is shown that the duration of the signal ignorance may lead to a significant reduction in the accuracy of quasi-likelihood estimation. The accuracy of maximum-likelihood amplitude estimates asymptotically with increasing signal/noise ratio is close to the accuracy of amplitude estimates with unknown duration. The obtained results of synthesis and analysis of estimation algorithms of the amplitude with unknown quasi radio signal duration allow us to make reasonable choice of necessary estimation algorithm based on the available a priori information about the duration of the signal, as well as the requirements for ease of implementation of the algorithm and the requirements for the accuracy of the estimate.

 

1. Kulikov E.I., Trifonov A.P. Ocenka parametrov signalov na fone pomekh. M.: Sov. radio. 1978.
2. Trifonov A.P., SHinakov JU.S. Sovmestnoe razlichenie signalov i ocenka ikh parametrov na fone pomekh. M.: Radio i svjaz. 1986.
3. Tikhonov V.I. Optimalnyjj priem signalov. M.: Radio i svjaz. 1983.
4. Trifonov A.P., Korchagin JU.EH., Kondratovich P.A., Trifonov M.V. Ocenka amplitudy signala s neizvestnojj dlitelnostju // Izvestija VUZov. Radioehlektronika. 2012. T. 55. № 9. S. 3−10.
5. Grjaznov M.I., Gurevich M.L., Rjabinin JU.A. Izmerenie parametrov impulsov. M.: Radio i svjaz. 1991.
6. Zander F.V., CHmykh M.K. Predelnye pogreshnosti optimalnykh izmeritelejj amplitudy i postojannojj sostavljajushhejj signalov s malym vremenem izmerenija // Izmeritelnaja tekhnika. 1988. № 1. S. 33−34.
7. Meshkov V.P., Ugolkov V.N. Metody izmerenija amplitudy garmonicheskogo signala za vremja menee perioda // Metrologija. 1984. № 8. S. 8−11.
8. Trifonov A.P., Korchagin Yu.E., Trifonov M.V., Chernoyarov O.V., Artemenko A.A. Amplitude estimate of the radio signal with unkown duration and initial phase // Applied Mathimatical Sciences. V. 8. 2014. № 111. 5517−5528.
9. Trifonov A.P., Rudnev P.E. KHarakteristiki ocenki amplitudy sverkhshirokopolosnogo kvaziradiosignala // Izvestija VUZov. Radioehlektronika. 2010. T. 53. № 5. S. 22−31.
10. Mudrov V.I., Kushko V.L. Metody obrabotki izmerenijj. M.: Radio i svjaz. 1983.
11. Tikhonov V.I. Statisticheskaja radiotekhnika. M.: Radio i svjaz. 1982.
12. Trifonov A.P., Butejjko V.K. KHarakteristiki sovmestnykh ocenok parametrov signala pri chastichnom narushenii uslovijj reguljarnosti // Radiotekhnika i ehlektronika. 1991. T. 36. № 2. S. 319−327.