Adapted Decimation on Finite Frames for Arbitrary Orders of Sigma-Delta Quantization
نویسندگان
چکیده
منابع مشابه
Analysis of Decimation on Finite Frames with Sigma-Delta Quantization
In Analog-to-digital (A/D) conversion on oversampled bandlimited functions, integration of samples in blocks before down-sampling, known as decimation, has been proven to greatly improve the efficiency of data storage while maintaining high accuracy. In particular, when coupled with the Σ∆ quantization scheme, the reconstruction error decays exponentially with respect to the bit-rate. Here, a s...
متن کاملOn quantization of finite frame expansions: sigma-delta schemes of arbitrary order
In this note we will show that the so called Sobolev dual is the minimizer over all linear reconstructions using dual frames for stable r order Σ∆ quantization schemes under the so called White Noise Hypothesis (WNH) design criteria. We compute some Sobolev duals for common frames and apply them to audio clips to test their performance against canonical duals and another alternate dual correspo...
متن کاملTime-Mode Signal Quantization for Use in Sigma-Delta Modulators
The rapid scaling in modern CMOS technology has motivated the researchers to design new analog-to-digital converter (ADC) architectures that can properly work in lower supply voltage. An exchanging the data quantization procedure from the amplitude to the time domain, can be a promising alternative well adapt with the technology scaling. This paper is going to review the recent development in t...
متن کاملSigma Delta quantization with Harmonic frames and partial Fourier ensembles
It is well known that a discrete band-limited signal can be made broad-banded if we randomly permute its entries. In this paper, we study the efficacy of such spectral whitening procedure and its application to Sigma Delta quantization in Compressed Sensing. As a side result, we show that a similar whitening phenomenon can be observed in a broad class of non-Fourier orthogonal transformations.
متن کاملtime-mode signal quantization for use in sigma-delta modulators
the rapid scaling in modern cmos technology has motivated the researchers to design new analog-to-digital converter (adc) architectures that can properly work in lower supply voltage. an exchanging the data quantization procedure from the amplitude to the time domain, can be a promising alternative well adapt with the technology scaling. this paper is going to review the recent development in t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Fourier Analysis and Applications
سال: 2020
ISSN: 1069-5869,1531-5851
DOI: 10.1007/s00041-020-09728-8