A strong Balian-low theorem
The Balian-Low theorem is a key result in time-frequency analysis. It says that if a Gabor system {e(2 pi imt)g(t-n)} forms a frame for L-2 (R), then either tg(t) or omega(g) over bar(omega) can not be in L-2 (R). In this paper, a new theorem will be proved for a family of non-uniform Gabor frames {e(pi ix m t) g(t-y(n))} with Condition G, which is stronger than Balian-Low theorem.
gabor frame gabor basis density wavelet