Abstract：The existence problem of tight multiple cycled frames is studied. The translation operator Sk(τ)is defined for the space L2[－π，π]of all square-integrable periodic complex-valued functions， and the periodic affine functions are constructed from the periodic refinable functions and periodic complex sequences. We put forward a sufficient condition for the existence of tight multiple cycled frames by virtue of the unitary extension principle， the time-frequency analysis method and frame multiresolution analysis. The tight frames are constructed by the unitary extension principle. Moreover， the compactly supported periodic tight frames are obtained.
王 慧,邱进凌. 多重紧周期框架存在的充分条件[J]. 华中师范大学学报(自然科学版), 2019, 53(6): 852-856.
WANG Hui,QIU Jinling. The sufficient conditions for the existence of tight multiple periodic frames. journal1, 2019, 53(6): 852-856.
2019, Vol. 53 
