V.N. Bugrov – Ph.D. (Eng.), Associate Professor, Lobachevsky State University of Nizhni Novgorod

V.V. Artemiev – Post-graduate Student, Sedakov Scientific Research Institute of Measuring Systems E-mail: zzzrf413@bk.ru

Considers the problems of synthesis of recursive digital integer filter with the possibility of its implementation in FPGA. The article provides the solution of the problem of synthesis of digital filter on not equidistant set with the minimum number of adders in the multiplication when implemented in FPGA.

1. Mingazin A.T. Sintez cifrovihkh filjtrov dlya vihsokoskorostnihkh sistem na kristalle // Cifrovaya obrabotka signalov. 2004. № 2. S. 14–32.
2. Koren I. Computer Arithmetic Algorithms (Second ed.) / A.K. Peters, Ltd. (Ed.). 2002.
3. Milic L.D., Lutovac M.D. Design of multiplierless elliptic IIR filters with a small quantization error // IEEE Trans. Signal Proc. 1999. V. 47. № 2. P. 469–479.
4. Lutovac M.D., Milic L.D. Approximate linear phase multiplierless IIR halfband filter // IEEE Trans. Signal Proc. Lett. 2000. V. 7. № 3. P.52–53.
5. Lutovac M.D., Milic L.D. Design of multiplierless elliptic IIR halfband filters and Hilbert transformers // In Proc. EUSIPCO. ’98 Rodos, Greece, Sept. 1998. P. 291–294.
6. Yli-Kaakinen J., Saramaki T. An algorithm for the design of multiplierless approximately linear-phase lattice wave digital filters // ISCAS. 2000. May. P. 77–80.
7. Persson P., Nordebo S., Claesson I. A multimode mean field annealing technique to design recursive digital filters // IEEE Trans. Circuits and Syst.: II. 2001.
8. Yli-Kaakinen J., Saramaki T. A systematic algorithm for the design of multiplierless lattice wave digital filters // ISCCSP. 2004. Mar. P. 393–396.
9. MilicL.D., Lutovac M.D. Efficient algorithm for the design of high-speed elliptic IIR filters // Int. J. Electron. Commun. (AEU). 2003. V. 57. № 4. P. 255–262.
10. Mingazin A.T. Sintez cifrovihkh filjtrov na osnove fazovihkh cepeyj s konechnoyj dlinoyj slova koehfficientov // II Mezhdunar. konf. «Cifrovaya obrabotka signalov i ee primeneniya» (DSPA). 1999. T. 1. Sentyabrj. S. 112–116.
11. Mingazin A.T. Sintez polupolosnihkh cifrovihkh filjtrov bez umnozhiteleyj na osnove fazovihkh cepeyj // VI Mezhdunar. konf. «Cifrovaya obrabotka signalov i ee primeneniya» (DSPA). 2004. T. 1. Mart–Aprelj. S. 39–41.
12. Plotnikov P.V. Povihshenie ehffektivnosti realizacii cifrovihkh filjtrov v PLIS // Problemih razrabotki perspektivnihkh mikroehlektronnihkh sistem – 2006. Sb. nauch. trudov / Pod obth. red. A.L. Stempkovskogo. M.: IPPM RAN. 2006. S. 333–338.
13. Aleshin D.V. Algoritm sinteza celochislennihkh umnozhiteleyj dlya cifrovihkh KIKh-filjtrov // IX Mezhdunar. konf. «Cifrovaya obrabotka signalov i ee primenenie». DSPA–2007. S. 96–98.
14. Ayjficher Eh., Dzhervis B. Cifrovaya obrabotka signalov: prakticheskiyj podkhod. Izd. 2-e. / Per. s angl. M.: Izdatelskii dom «Viljyams». 2004.
15. Antonjyu A. Cifrovihe filjtrih: analiz i proektirovanie. M.: Radio i Svyazj. 1983.
16. Baskakov S.I. Radiotekhnicheskie cepi i signalih. M.: Vihsshaya shkola. 2005.
17. Bugrov V.N. Proektirovanie cifrovihkh filjtrov metodami celochislennogo nelineyjnogo programmirovaniya // Vestnik NNGU. 2009. № 6. S. 61–70.
18. Artemjev V.V., Bugrov V.N. Sintez cifrovihkh rekursivnihkh filjtrov s lineyjnoyj fazoyj // Komponentih i tekhnologii. 2013. № 7. S. 60–62.
19. Artemjev V.V., Bugrov V.N., Proyjdakov V., Shkelev E.I. Celochislennihe cifrovihe filjtrih – ehffektivnoe reshenie dlya 8-bitovihkh cifrovihkh platform // Komponentih i tekhnologii. 2013. № 10. S. 104–110.