Sigma Delta quantization with Harmonic frames and partial Fourier ensembles
نویسنده
چکیده
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.
منابع مشابه
Time-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 کاملSecond order Sigma-Delta (Σ∆) quantization of finite frame expansions ⋆
The second order Sigma-Delta (Σ∆) scheme with linear quantization rule is analyzed for quantizing finite unit-norm tight frame expansions for Rd. Approximation error estimates are derived, and it is shown that for certain choices of frames the quantization error is of order 1/N2, where N is the frame size. However, in contrast to the setting of bandlimited functions there are many situations wh...
متن کاملDecrease in Hardware Consumption and Quantization Noise of Digital Delta-Sigma Modulators and Implementation by VHDL
A new structure is presented for digital delta-sigma modulator (DDSM). Novel architecture decreases hardware consumption, output quantization noise and spurs in Comparison to previous architectures. In order to reduce the delay, power consumption and increase maximum working frequency, the pipelining technique and the carry skip adder are used. Simulation proposed architecture shows that the qu...
متن کاملFrame Paths and Error Bounds for Sigma-delta Quantization
We study the performance of finite frames for the encoding of vectors by applying first-order sigma-delta quantization to the frame coefficients. Our discussion is restricted to families of uniform tight frames, given by N vectors in d-dimensional Hilbert spaces, and mostly concerns the use of quantizers that assume only integer multiples of a step-size δ (mid-tread). We prove upper and lower b...
متن کاملSobolev Duals in Frame Theory and Sigma-delta Quantization
A new class of alternative dual frames is introduced in the setting of finite frames for Rd. These dual frames, called Sobolev duals, provide a high precision linear reconstruction procedure for Sigma-Delta (Σ∆) quantization of finite frames. The main result is summarized as follows: reconstruction with Sobolev duals enables stable rth order Sigma-Delta schemes to achieve deterministic approxim...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- CoRR
دوره abs/1511.05671 شماره
صفحات -
تاریخ انتشار 2015