25 citations · 83 across the 10 of their papers we have counts for
6 papers · 1 filter
Approximation with one-bit polynomials in Bernstein form
C. Sinan Güntürk, Weilin Li
We prove various theorems on approximation using polynomials with integer coefficients in the Bernstein basis of any given order. In the extreme, we draw the coefficients from $\{…
Quantization for spectral super-resolution
C. Sinan Güntürk, Weilin Li
We show that the method of distributed noise-shaping beta-quantization offers superior performance for the problem of spectral super-resolution with quantization whenever there is…
Distributed noise-shaping quantization: I. Beta duals of finite frames and near-optimal quantization of random measurements
Evan Chou, Sinan Güntürk
This paper introduces a new algorithm for the so-called "Analysis Problem" in quantization of finite frame representations which provides a near-optimal solution in the case of ran…
Sobolev Duals for Random Frames and Sigma-Delta Quantization of Compressed Sensing Measurements
S. Güntürk, A. Powell, R. Saab +1
Quantization of compressed sensing measurements is typically justified by the robust recovery results of Candès, Romberg and Tao, and of Donoho. These results guarantee that if a u…
An Optimal Family of Exponentially Accurate One-Bit Sigma-Delta Quantization Schemes
Percy Deift, C. Sinan Güntürk, Felix Krahmer
Sigma-Delta modulation is a popular method for analog-to-digital conversion of bandlimited signals that employs coarse quantization coupled with oversampling. The standard mathemat…
The Golden Ratio Encoder
I. Daubechies, C. S. Güntürk, Y. Wang +1
This paper proposes a novel Nyquist-rate analog-to-digital (A/D) conversion algorithm which achieves exponential accuracy in the bit-rate despite using imperfect components. The pr…