Models of round-off noise in second-order sigma–delta modulators

1991 ◽  
Vol 27 (8) ◽  
pp. 673
Author(s):  
J.H. Blythe
Keyword(s):  
Second Order ◽  
Sigma Delta ◽  
Sigma Delta Modulators

Superconducting second-order sigma-delta modulators utilizing multi-flux-quantum generators

2001 ◽  
Vol 11 (1) ◽  
pp. 554-557 ◽  
Author(s):  
T. Hashimoto ◽  
H. Hasegawa ◽  
S. Nagasawa ◽  
H. Suzuki ◽  
K. Miyahara ◽  
...  
Keyword(s):  
Second Order ◽  
Flux Quantum ◽  
Sigma Delta ◽  
Sigma Delta Modulators

Modeling of Superconducting First- and Second-Order Low-Pass Sigma-Delta Modulators

2005 ◽  
Vol 15 (2) ◽  
pp. 372-375 ◽  
Author(s):  
P. Magnusson ◽  
P. Lowenborg ◽  
A. Kidiyarova-Shevchenko
Keyword(s):  
Second Order ◽  
Sigma Delta ◽  
Sigma Delta Modulators ◽  
Low Pass

On second-order sigma-delta modulators

1996 ◽  
Vol 49 (1) ◽  
pp. 37-44
Author(s):  
David P. Brown
Keyword(s):  
Second Order ◽  
Sigma Delta ◽  
Sigma Delta Modulators

scholarly journals GLOBAL STABILITY, LIMIT CYCLES AND CHAOTIC BEHAVIORS OF SECOND ORDER INTERPOLATIVE SIGMA DELTA MODULATORS

2011 ◽  
Vol 21 (06) ◽  
pp. 1755-1772 ◽  
Author(s):  
CHARLOTTE YUK-FAN HO ◽  
BINGO WING-KUEN LING ◽  
JOSHUA D. REISS ◽  
XINGHUO YU
Keyword(s):  
Global Stability ◽  
Limit Cycle ◽  
Phase Plane ◽  
Signal To Noise Ratio ◽  
Stability Limit ◽  
Second Order ◽  
Specific Class ◽  
Sigma Delta ◽  
Sigma Delta Modulators ◽  
Input Signals

It is well known that second order lowpass interpolative sigma delta modulators (SDMs) may suffer from instability and limit cycle problems when the magnitudes of the input signals are at large and at intermediate levels, respectively. In order to solve these problems, we propose to replace the second order lowpass interpolative SDMs to a specific class of second order bandpass interpolative SDMs with the natural frequencies of the loop filters very close to zero. The global stability property of this class of second order bandpass interpolative SDMs is characterized and some interesting phenomena are discussed. Besides, conditions for the occurrence of limit cycle and fractal behaviors are also derived, so that these unwanted behaviors will not happen or can be avoided. Moreover, it is found that these bandpass SDMs may exhibit irregular and conical-like chaotic patterns on the phase plane. By utilizing these chaotic behaviors, these bandpass SDMs can achieve higher signal-to-noise ratio (SNR) and tonal suppression than those of the original lowpass SDMs.

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