Nonlinear filter correction of multibit &Sgr;&Dgr; modulators

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

Reexamination Certificate

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C341S155000

Reexamination Certificate

active

06271781

ABSTRACT:

FIELD OF THE INVENTION
This invention relates to analog-to-digital converters, and more particularly to such converters using sigma-delta (&Sgr;&Dgr;) modulators, and more particularly multibit sigma-delta modulators.
BACKGROUND OF THE INVENTION
FIG. 1
is a simplified block diagram of a multibit sigma-delta analog-to digital converter
10
of a type generally known in the art, which includes correction of static nonlinearities introduced by a multibit DAC in the sigma-delta (&Sgr;&Dgr;) feedback loop. The correction of
FIG. 1
results in significant reduction in passband DAC errors, given sigma-delta converters using low clock rates and narrow bandwidths (clock rates of about 5 MHz and bandwidths less than about 100 KHz at the current state of the art). Increased- or high-bandwidth sigma-delta converters use higher clock rates and wider bandwidths (clock rates of 500 MHz to 3.3 GHz, and bandwidths of 10 MHz to 100 MHz, at the present state of the art), and noise shaping bands centered at carriers such as 70 MHz to 1 GHz, at the present state of the art. The high-speed DACs used in such high-bandwidth sigma-delta loops will introduce error terms which result both from static and dynamic nonlinearities. The dynamic nonlinearities which account for mismatches in rise and fall times and overall delay skew between DAC levels differ from static nonlinearities, which account for only amplitude errors. The dynamic error is generally the dominant error term in high-speed multibit sigma-delta analog-to-digital converters. Therefore, multibit sigma-delta error correction capable of correction of dynamic nonlinearities would be advantageous.
In the arrangement of
FIG. 1
, analog input signals applied to an analog input port
12
are summed in a summing circuit
14
with correction signals applied to an input port
142
from a signal path
24
. The summed analog and correction signals are applied from summing circuit
14
to an input port
16
i of a baseband multibit signal-delta modulator
16
. Parallel sampled binary digital signals representing the analog input signals applied to input port
16
i are produced at output port
16
o. The digital signals at output port
16
o are applied to the address input ports of a programmable ROM and to a static DC level calibrator
20
. PROM
18
is preprogrammed at each memory location with error correction values established by the static DC level calibrator
20
, for producing corrected signals y(n) at its output port
18
o. Averaging circuit
20
receives the parallel sampled binary digital signals y(n) from output port
16
o and averages or integrates the samples in an averager
22
by summation over a large number of samples, such as for example one thousand or more samples. The parenthetical expression (n) in the expression y(n) represents the index number of each of the samples. The averaging in block
20
removes quantization noise produced by the baseband multibit sigma-delta (&Sgr;-&Dgr;) modulator
16
. The averaged samples are applied to level calibrator
20
, which, at initial turn-on, or during a calibration procedure, produces a known direct level, such as a direct voltage or bias, which is applied over a signal path
24
to input port
14
i of summing circuit
14
, for addition or injection of the direct level for measuring direct (DC) offsets at the output of multibit sigma-delta modulator
16
. The DC calibrator will inject a direct level corresponding to each of the multibit quantization levels. The averager provides measured offsets for each of these levels. These measured offsets are subtracted from the corresponding level values, to produce look-up table values which compensate for the offsets when applied to PROM
18
. Static DC level calibrator
22
also produces signals which program the memory locations according to this table. After the initialization or calibration period, the static DC level calibrator becomes inactive. In operation of the analog-to-digital converter
10
of
FIG. 1
, PROM
18
removes error introduced into the passband of the sigma-delta modulator
16
produced by the multibit digital-to-analog converter inherent therein.
As so far described, the arrangement of
FIG. 1
is that of a known analog-to-digital converter. It should be noted that the PROM
18
and feedback calibrator
22
correct only baseband nonlinearity errors produced by static or constant gain mismatches inherent in the sigma-delta modulator, because averager
20
can only detect direct bias errors occurring at or near zero Hz.
In order to more fully explain the sources of the errors in sigma-delta modulator
16
, a sigma-delta modulator is illustrated within block
16
. The particular sigma-delta modulator which is illustrated is the multibit &Sgr;-&Dgr; modulator with static error correction which is described in M. Nejad & G. Temes, “Multibit Oversampled Sigma-Delta A/D Converter with Digital Error Correction,” published at pp. 1051-1052 in Vol. 24 of IEEE Electronics Letters, June 1993. The arrangement of
FIG. 1
illustrates the Nejad et al. converter within block
16
.
In
FIG. 1
, analog-to-digital converter
16
includes a first summing circuit
30
which has a noninverting (+) input port
30
1
coupled to the output port of summing circuit
14
, and an inverting (−) input port
302
coupled for receiving, from a feedback signal path
41
b,
feedback signal in the form of reconstructed analog signal. First summing circuit
30
subtracts the reconstructed analog signal from the analog input signal applied to input port
16
i,
to generate a &Dgr;(t) signal. The &Dgr;(t) signal is applied through an additional theoretical or hypothetical summing circuit
32
to an input port of an integrating loop filter
34
. Hypothetical summing circuit
32
is considered to be the location at which equivalent input loop filter noise &eegr;(t) of the following circuits is added to the &Dgr;(t) signal.
Integrating loop filter
34
integrates the delta signal from hypothetical summing circuit
32
, to produce integrated signals u(t) at its output port. The integrating loop filter
34
has poles place near zero Hz for producing frequency selective gain in the passband of the sigma-delta modulator, which is centered at zero Hz. In order to have gain, the loop filter
34
is preferably an active filter. The filtered signals u(t) at the output port of filter
34
are applied to a multibit analog-to-digital converter illustrated as a block
36
, which operates at the frequency f
s
of a clock signal applied over a signal path
37
. Block
36
includes a further hypothetical noise source illustrated as a summing circuit
38
, which adds to the digitized output signal a noise component which can be termed ADC quantization noise or equivalent error signals e(n), which includes quantization noise. The digitized (discrete in both time and level) output signals from ADC
36
are applied as an output signal to output port
16
o of sigma-delta modulator
16
, and within sigma-delta modulator
16
, are applied over a feedback signal path
41
a
of a feedback loop
39
to a digital-to-analog converter illustrated as a block
40
.
Within feedback loop
39
, DAC
40
converts the digitized signal from the output port of ADC
36
into the reconstructed analog signal at the clock frequency f
s
, and applies the resulting converted signal over a signal path
41
b
of feedback loop
39
to the inverting input port
30
2
of summing circuit
30
. As illustrated in
FIG. 1
, DAC
40
also includes a further hypothetical summing circuit
42
, which adds an equivalent error signal, produced by nonlinearity of the ADC
40
, to the converted output signal. As suggested by dotted line
44
, the ADC
36
and DAC
40
are often a part of a common integrated circuit.
It should be noted that for simplicity of design and operation, ADC
36
and DAC
40
may use specialized forms of coding, such as binary, thermometer, and level. The coupling between ADC
36
and output port
26
o of multibit analog-to-digital converter
16
often includes a code converter, illustrate

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