Zobrazeno 1 - 10
of 617
pro vyhledávání: '"Sigma delta quantization"'
Let $\| A \|_{\max} := \max_{i,j} |A_{i,j}|$ denote the maximum magnitude of entries of a given matrix $A$. In this paper we show that $$\max \left\{ \|U_r \|_{\max},\|V_r\|_{\max} \right\} \le \frac{(Cr)^{6r}}{\sqrt{N}},$$ where $U_r$ and $V_r$ are
Externí odkaz:
http://arxiv.org/abs/2103.13419
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 $W_n$
Externí odkaz:
http://arxiv.org/abs/2006.09732
Autor:
Lyu, He, Wang, Rongrong
In signal quantization, it is well-known that introducing adaptivity to quantization schemes can improve their stability and accuracy in quantizing bandlimited signals. However, adaptive quantization has only been designed for one-dimensional signals
Externí odkaz:
http://arxiv.org/abs/2005.08487
Autor:
Lin, Kung-Ching
Publikováno v:
J Fourier Anal Appl 26, 20 (2020)
In Analog-to-digital (A/D) conversion, signal decimation has been proven to greatly improve the efficiency of data storage while maintaining high accuracy. When one couples signal decimation with the $\Sigma\Delta$ quantization scheme, the reconstruc
Externí odkaz:
http://arxiv.org/abs/1902.05976
Publikováno v:
In Linear Algebra and Its Applications 1 October 2021 626:79-151
Autor:
Lin, Kung-Ching
Publikováno v:
Constructive Approximation, 50(3), 507-542, 2019
In Analog-to-digital (A/D) conversion, signal decimation has been proven to greatly improve the efficiency of data storage while maintaining high accuracy. When one couples signal decimation with the $\Sigma\Delta$ quantization scheme, the reconstruc
Externí odkaz:
http://arxiv.org/abs/1803.02921
Akademický článek
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Autor:
Wang, Rongrong
Sigma Delta quantization, a quantization method which first surfaced in the 1960s, has now been used widely in various digital products such as cameras, cell phones, radars, etc. The method samples an input signal at a rate higher than the Nyquist ra
Externí odkaz:
http://arxiv.org/abs/1511.05671
Akademický článek
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Autor:
Daubechies, Ingrid, Saab, Rayan
We study Sigma-Delta ($\Sigma\Delta$) quantization of oversampled bandlimited functions. We prove that digitally integrating blocks of bits and then down-sampling, a process known as decimation, can efficiently encode the associated $\Sigma\Delta$ bi
Externí odkaz:
http://arxiv.org/abs/1506.00179