论文标题
融合框架的高阶低位Sigma-Delta量化
High order low-bit Sigma-Delta quantization for fusion frames
论文作者
论文摘要
我们为融合帧的向量设置构建高阶低位sigma-delta $（σδ）$量化器。我们证明，可以使用$ \ log_2（{\ rm dim}（w_n）+1）$ lits $ w_n $量化这些$σδ$量化器，以量化子空间$ w_n $上的融合帧测量值。使用Sobolev Duals进行融合帧进行信号重建，并进行数值实验以验证整体性能。
We construct high order low-bit Sigma-Delta $(ΣΔ)$ quantizers for the vector-valued setting of fusion frames. We prove that these $ΣΔ$ 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.
