Double-sampled &Sgr;&Dgr; modulator of second order having a...

Coded data generation or conversion – Analog to or from digital conversion – Differential encoder and/or decoder

Reexamination Certificate

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C341S172000

Reexamination Certificate

active

06184811

ABSTRACT:

FIELD OF THE INVENTION
The invention relates to Sigma-Delta analog/digital converters, and, more particularly, to a second-order double-sampled Sigma-Delta modulator.
BACKGROUND OF THE INVENTION
In second-order Sigma-Delta analog/digital converters, briefly &Sgr;&Dgr; A/D, the analog circuit part is essentially based upon a circuit composed of two integrators (because of the second-order) of the switched-capacitor (SC) type connected in cascade. The output of the last integrator drives the input of a comparator that realizes, through a one-bit (in the majority of cases) D/A converter, a feedback which has repercussions on the same SC integrators. Accordingly, these SC integrators process the difference between the input signal and the feedback signal originating from the D/A feedback.
As in all SC circuits a double-sampled structure may be used to reduce current consumption. This structure is commonly referred to as a Lossless Discrete Integrator (LDI), and it is realized by simply duplicating each switched-capacitor structure and employing complementary control phases of the switches. In this way it is possible to attain the same function while halving the clock frequency that drives the switches. As a consequence, the current in the operational amplifiers can be reduced considerably because the time available for the settling of the amplifiers themselves is doubled. This general concept is illustrated in FIG.
1
.
FIG. 2
shows a classical second-order single-sampled &Sgr;&Dgr; modulator. The purpose of this circuit is to assure, in the baseband of the signal to be converted, a satisfactory signal-to-noise ratio. This is done by “shifting” the quantization noise of the converter into a high frequency range. The consequent digital part of the &Sgr;&Dgr; converter will eliminate the high frequency noise by a digital filtering, supplying the data corresponding to the input signal with a resolution (number of bits of the data output by the A/D converter) defined by the signal-to-noise ratio of the same circuit. The resolution of these A/D converters is determined by the ratio between the clock frequency of the SC circuits and the band of the signal to be converted as disclosed, for example, in J. C. Candy:
A use of double integration in sigma delta modulation,
IEEE Transaction on Communications, Vol. COM-33, No. 3, pp. 249-258, March 1985.
The problem of realizing a second-order &Sgr;&Dgr; modulator using double-sampled SC integrators has been approached in different manners. The most serious problem of a double-sampled approach is represented by the aliasing of the high frequency quantization noise in the baseband (the band of interest) caused by mismatches among the switched-capacitors that realize the double-sampled structure as disclosed, for example, in P. J. Hurst. W. J. McIntyre:
Double sampling in switched capacitor delta-sigma A/D converters,
in ISCAS proc., pp. 902-905, New Orleans, May 1990. This aliasing considerably degrades the signal-to-noise ratio (SNR) of the A/D converter to the point of making not viable the use of a double-sampled structure for the realization of a second-order &Sgr;&Dgr; modulator.
To overcome this problem, a first approach, as disclosed, for example, in T. V. Burmas, K. D. Dyer, P. J. Hurst and S. H. Lewis:
A second-order double-sampled delta-sigma modulator using additive-error switching,
IEEE Journal of Solid State Circuits, Vol. SC-31, pp. 284-293, March 1996, which uses a sequential logic which, by considering the “history” of the output signal of the circuit, succeeds in eliminating the aliasing caused by the double-sampled structure. This is done by acting on the switches that realize the feedback in the SC integrators (&Sgr;&Dgr; Modulator with additive-error switching).
However, this known circuit is very complex as it increases considerably both the number of switches and of the needed control signals, as well as the number of switched-capacitors. It has a resulting increase in the area occupied and with the further disadvantage of rendering practically impossible a low supply voltage realization because of the many control signals for the switches that need to be boosted.
A second known approach is disclosed, for example, in D. Senderowicz, G. Nicollini, S. Pernici, A. Nagari, P. Confalonieri and C. Dallavalle:
Low-voltage double-sampled &Sgr;&Dgr; converters,
in ISSCC Dig. of Tech. paper, pp. 210-211. Febuaray 1997. This approach eliminates the aliasing of the high frequency quantization noise by realizing a fully floating structure that converts an eventual switched-capacitor mismatch into a common mode signal (Bilinear &Sgr;&Dgr; Modulator).
The main limitation of this known structure is that of requiring the realization of bilinear SC integrators. Moreover, these bilinear SC integrators increase considerably the internal gains of the circuit, with a consequent reduction of the dynamic range of the SC integrators and a degrading of the signal-to-noise ratio (SNR) by about 6 dB.
SUMMARY OF THE INVENTION
Confronted with this state of the art, a structure has now been found for effectively eliminating the aliasing of the high frequency quantization noise without substantially increasing the internal gains of the circuit, and thereby without degrading the signal-to-noise ratio.
It has been observed that the aliasing caused by the mismatch of the capacitors of a second-order double-sampled &Sgr;&Dgr; modulator is mainly caused by the capacitors used for the first SC integrator, that is, the one that directly processes the input signal to be converted.
It has been found that by using, as the second SC integrator in cascade, a classical double-sampled LDI structure as illustrated in
FIG. 1
, the SNR of the converter does not degrade appreciably. Instead, as the first integrator a fully-floating structure, similar to that disclosed in the Senderowicz et al. article, is effectively used.
The resulting fully differential structure that exploits the compensation of the error generated by the double-sampled structure of the first integrator by converting such an error signal into a common mode signal and wherein the second integrator is realized in a normal way, has the advantage of reducing the circuit complexity by reducing the number of switched-capacitors. In addition, the inventions remains able to control the aliasing caused by the double-sampled structure and maintains the same internal gains of the circuit as in a classical &Sgr;&Dgr; modulator (see FIG.
2
). Accordingly, the SNR figure is substantially unchanged. The &Sgr;&Dgr; modulator in accordance with the present invention may be considered as a semi-bilinear &Sgr;&Dgr; modulator.


REFERENCES:
patent: 4599573 (1986-07-01), Senderowicz
patent: 4633223 (1986-12-01), Senderowicz
patent: 4633425 (1986-12-01), Senderowicz
patent: 5001725 (1991-03-01), Senderowicz
patent: 5220286 (1993-06-01), Nadeem
patent: 5392043 (1995-02-01), Ribner
patent: 5914638 (1999-06-01), He
T. V. Burmas et al., “A Second-Order Double-Sampled Delta-Sigma Modulator Using Additive-Error Switching”,IEEE Journal of Solid-State Circuits,vol. 31, No. 3, (Mar. 1, 1996), pp. 284-293.
D. Senderowicz, “Low-Voltage Double-Sampled Sigma Delta Convertors”,IEEE International Solid-State Circuits Conference,(Feb. 6, 1997), pp. 310-211, 458.
Burmas et al., A Second Order Double-Sampled Delta-Sigma Modulator, IEEE Journal of Solid State Circuits, pp. 195-198.

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