Name
Abstract | ||
|---|---|---|
This paper presents a coarse quantization algorithm (TF Sigma Delta-II) for tight Gabor frame expansions of certain functions in L-2(R), an alternative to the TF Sigma Delta of Ref. 11. By using some a priori information about the function to be quantized and compromising the translation invariance of the TF Sigma Delta, TF Sigma Delta-II produces an approximation in L2(R), as opposed to the weak type approximations of TFEA. In particular, for a tight Gabor frame with frame bound A, we prove that the L-2 -approximation error corresponding to a kth-order TF Sigma Delta-II quantizer is of order O(A(-k)). Furthermore, motivated by TF Sigma Delta II, we construct an algorithm to coarsely quantize the Fourier coefficients of certain compactly supported functions. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1142/S0219691305000853 | INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING |
Keywords | DocType | Volume |
quantization, redundant time-frequency representations, sigma-delta quantization, Gabor frames, windowed Fourier frames, noise shaping | Journal | 3 |
Issue | ISSN | Citations |
2 | 0219-6913 | 1 |
PageRank | References | Authors |
0.40 | 0 | 1 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Özgür Yilmaz | 1 | 685 | 51.36 |