TY - GEN
T1 - One-Bit Sigma-Delta Modulation on a Closed Loop
AU - Krause-Solberg, Sara
AU - Graf, Olga
AU - Krahmer, Felix
N1 - Publisher Copyright:
© 2018 IEEE.
PY - 2018/8/29
Y1 - 2018/8/29
N2 - In this paper, we propose a scheme for the first order one-bit ΣΔ modulation on a closed loop. In contrast to schemes designed for the real line, which rely entirely on a recurrence relation, the difficulty of this setting is to avoid mismatches at the initialization point. In order to distribute the error equally around the loop, we propose an update of the samples using information we gain from the classical approach. We prove that the proposed scheme leads to a smaller reconstruction error and we discuss how this scheme can be extended to higher orders.
AB - In this paper, we propose a scheme for the first order one-bit ΣΔ modulation on a closed loop. In contrast to schemes designed for the real line, which rely entirely on a recurrence relation, the difficulty of this setting is to avoid mismatches at the initialization point. In order to distribute the error equally around the loop, we propose an update of the samples using information we gain from the classical approach. We prove that the proposed scheme leads to a smaller reconstruction error and we discuss how this scheme can be extended to higher orders.
KW - halftoning
KW - manifolds
KW - quantization
KW - unit circle
KW - ΣΔ modulation
UR - http://www.scopus.com/inward/record.url?scp=85053836671&partnerID=8YFLogxK
U2 - 10.1109/SSP.2018.8450721
DO - 10.1109/SSP.2018.8450721
M3 - Conference contribution
AN - SCOPUS:85053836671
SN - 9781538615706
T3 - 2018 IEEE Statistical Signal Processing Workshop, SSP 2018
SP - 558
EP - 562
BT - 2018 IEEE Statistical Signal Processing Workshop, SSP 2018
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 20th IEEE Statistical Signal Processing Workshop, SSP 2018
Y2 - 10 June 2018 through 13 June 2018
ER -