Polina Podkur

Masshtabiruyushchie Funktsii I Veyvlety S Koeffitsientom Masshtabirovaniya N>2: Postroenie Veyvletov S Koeffitsientom Masshtabirovaniya N>2 I Primery Ikh Ispol'zovaniya Polina Podkur Russian edition

Teoriya veyvletov shiroko primenyaetsya v obrabotke signalov i izobrazheniy. Obychno ispol'zuyutsya veyvlety s koeffitsientom masshtabirovaniya 2. Odnako pri analize ekonomicheskikh dannykh opravdano ispol'zovanie veyvletov s koeffitsientom masshtabirovaniya N>2. V dannoy rabote razvivaetsya teoriya takikh veyvletov. Opredeleny ponyatiya N-masshtabiruyushchey funktsii i kratnomasshtabnogo razlozheniya. Postroeny primery N- masshtabiruyushchikh funktsiy i sootvetstvuyushchikh veyvletov. Predlozheny novye metody postroeniya neortogonal'nykh veyvletov na osnove B-splaynov. Naydeny novye metody postroeniya ortogonal'nykh veyvletov s kompaktnym nositelem dlya lyubogo natural'nogo parametra Razrabotany metody ispol'zovaniya veyvlet-analiza s koeffitsientom masshtabirovaniya N>2 dlya issledovaniya vremennykh ryadov, voznikayushchikh v ekonomike. Na osnove paketnogo veyvlet-razlozheniya predlozheny novye chislovye kharakteristiki kardiosignalov, kotorye sushchestvenno otlichayutsya ot traditsionnykh. Kniga budet polezna studentam i spetsialistam po obrabotke signalov i izobrazheniy.