Note on Generalized Linear-Phase Property of Discrete-Time Finite Impulse Response Systems

作者：Zhang, Song^*

来源：Circuits, Systems, and Signal Processing, 2012, 31(1): 385-388.

DOI：10.1007/s00034-011-9312-y

• Generalized linear-phase
• Group delay
• FIR systems

A discrete-time linear time-invariant system is said to have generalized linear phase if its frequency response takes the form: H(e (j omega) )=A(e (j omega) )e (-j alpha omega+j beta) , |omega|<pi, where alpha and beta are real constants and A(e (j omega) ) is real-valued. By a simple analyticity argument, we show that for finite impulse response systems to have generalized linear phase, the group delay alpha must be integer or half integer, a crucial step to complete characterization of such systems.

• 出版日期2012-2
• 单位杭州电子科技大学