High-order low-bit Sigma-Delta quantization for fusion frames
| Autor: | Zhen Gao, Felix Krahmer, Alexander M. Powell |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
FOS: Computer and information sciences
Fusion Information Theory (cs.IT) Computer Science - Information Theory Applied Mathematics Low bit ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION 020206 networking & telecommunications 010103 numerical & computational mathematics 02 engineering and technology Construct (python library) 01 natural sciences Sigma delta quantization Fusion frame 0202 electrical engineering electronic engineering information engineering 0101 mathematics High order Wireless sensor network Algorithm Analysis Mathematics |
| Zdroj: | Analysis and Applications. 19:1-20 |
| ISSN: | 1793-6861 0219-5305 |
| Popis: | We construct high order low-bit Sigma-Delta $(\Sigma \Delta)$ quantizers for the vector-valued setting of fusion frames. We prove that these $\Sigma \Delta$ quantizers can be stably implemented to quantize fusion frame measurements on subspaces $W_n$ using $\log_2( {\rm dim}(W_n)+1)$ bits per measurement. Signal reconstruction is performed using a version of Sobolev duals for fusion frames, and numerical experiments are given to validate the overall performance. Comment: 18 pages, 2 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|