Title :
Some results on discrete Gabor transforms for finite periodic sequences
Author :
Lu, Youhong ; Morris, Joel M.
Author_Institution :
Philips Consumer Commun., Piscataway, NJ, USA
fDate :
6/1/1998 12:00:00 AM
Abstract :
In this correspondence, using linear system theory and frame theory, we address computation methods for analysis and synthesis sequences of the discrete Gabor transform (DGT), where all sequences are periodic with the same period L, and show that the minimum energy solution to the Wexler and Raz (1990) biorthogonal condition and the solution to the frame operator are the same via linear system theory and frame theory
Keywords :
difference equations; linear systems; mathematical operators; sequences; signal representation; transforms; Wexler and Raz biorthogonal condition; analysis sequence; computation methods; discrete Gabor transforms; finite periodic sequences; frame operator; frame theory; linear system theory; minimum energy solution; synthesis sequence; Difference equations; Discrete transforms; Fourier transforms; Linear systems; Prototypes; Signal generators; Signal representations; Signal synthesis; Speech; Two dimensional displays;
Journal_Title :
Signal Processing, IEEE Transactions on
