This patent relates generally to analog-to-digital converters, and more specifically to an apparatus and a method for removing errors caused by comparator offsets.
Analog-to-digital converters (ADCs) are employed in a variety of electronic systems including computer modems, wireless telephones, satellite receivers, process control systems, etc. Such systems demand cost-effective ADCs that can efficiently convert an analog input signal to a digital output signal over a wide range of frequencies and signal magnitudes with minimal noise and distortion.
An ADC typically converts an analog signal to a digital signal by sampling the analog signal at pre-determined sampling intervals and generating a sequence of binary numbers via a quantizer, wherein the sequence of binary numbers is a digital representation of the sampled analog signal. Some of the commonly used types of ADCs include integrating ADCs, Flash ADCs, pipelined ADCs, successive approximation register ADCs, Delta-Sigma (ΔΣ) ADCs, two-step ADCs, etc. Of these various types, the pipelined ADCs and the ΔΣ ADCs are particularly popular in applications requiring higher resolutions.
A ΔΣ ADC employs over-sampling, noise-shaping, digital filtering and digital decimation techniques to provide high resolution analog-to-digital conversion. One popular design of a ΔΣ ADC is multi-stage noise shaping (MASH) ΔΣ ADC. A MASH ΔΣ ADC is based on cascading multiple first-order or second-order ΔΣ ADCs to realize high-order noise shaping. An implementation of a MASH ΔΣ ADC is well known to those of ordinary skill in the art.
While a ΔΣ ADCs generally provide improved signal-to-noise ratio, improved stability, etc., comparator offsets in the single-bit or multi-bit quantizer of a ΔΣ ADC lead to increased distortion levels due to errors caused by the offsets. Generally speaking, the mechanism that causes distortion levels in ΔΣ ADCs to increase due to comparator offsets occurs when the comparator offsets are too high. Subsequent ADC stages will overload when trying to quantize the output of the preceding stage resulting in a failure to reproduce the output of the first stage due to overloading and clipping. Overloading leads to faulty digital recombination, and quantization error from the first stage quantizer will not be cancelled by digital recombination logic. Furthermore, this leads to leakage of the first stage quantization noise to the recombined output resulting in an increased noise floor and spurious components.
To achieve a ΔΣ ADC with low nonlinear distortion, a high tolerance to comparator offsets is desired.
The present patent is illustrated by way of examples and not limitations in the accompanying figures, in which like references indicate similar elements, and in which:
a is an exemplary diagram of reference voltages for a 3-bit quantizer having 8 comparators;
b is an exemplary diagram of reference voltages for a 2.5-bit quantizer having 7 comparators;
An analog-to-digital converter (ADC) system that converts an analog input signal into a digital output circuit includes a first stage coupled with a second stage. The first stage includes a quantizer, comparator, integrator, and a feedback digital-to-analog converter (DAC). The second stage includes a backend ADC that further quantizes the integrator output. Furthermore, the first stage also includes redundancy that corrects comparator offsets and prevents nonlinearities and harmonic distortion in the second stage caused by uncorrected comparator offsets.
An embodiment of the analog-to-digital converter (ADC) system includes a method of providing offset correction in an analog-to-digital converter circuit, the method comprising introducing redundancy in an output of a first stage of the analog-to-digital converter circuit; and using the redundancy to digitally correct an offset in an output of the analog-to-digital converter circuit.
In an alternate embodiment of the analog-to-digital converter (ADC) system introducing redundancy in the output of the first stage of the analog-to-digital converter circuit includes introducing redundancy in the output of a first stage of a delta-sigma analog-to-digital converter circuit.
In yet another embodiment of the analog-to-digital converter (ADC) system introducing redundancy in the output of the first stage of the analog-to-digital converter circuit includes providing a voltage headroom in the output of the first stage. Whereas in an alternate embodiment of the analog-to-digital converter (ADC) system introducing redundancy in the output of the first stage of the analog-to-digital converter circuit includes confining the output of the first stage to a fraction of an available output range.
In an alternate embodiment of the analog-to-digital converter (ADC) system, introducing redundancy in the output of the first stage of the analog-to-digital converter circuit includes modifying a quantizer of the first stage to remove an uppermost reference voltage from the output of the first stage. In an alternate embodiment of such an analog-to-digital converter (ADC) system, modifying the quantizer of the first stage of the analog-to-digital converter circuit includes increasing the number of comparators used in the quantizer of the first stage of the analog-to-digital converter circuit to a number higher than that required for generating an output necessary for a second stage of the analog-to-digital converter circuit.
An alternate embodiment of the analog-to-digital converter (ADC) system further comprises inputting the output from the first stage to a second stage of the analog-to-digital converter circuit and digitally recombining the output of the first stage of the analog-to-digital converter circuit with an output of the second stage of the analog-to-digital converter circuit to cancel an error in a residue voltage caused by the offsets from the quantizer of the first stage. In an alternate embodiment of such an analog-to-digital converter (ADC) system, digitally recombining the output of the first stage of the analog-to-digital converter circuit with the output of the second stage of the analog-to-digital converter circuit includes adding a least significant bit output from the first stage of the analog-to-digital converter circuit to a most significant bit output from the second stage of the analog-to-digital converter circuit. In yet another embodiment of such an analog-to-digital converter (ADC) system, digitally recombining the output of the first stage of the analog-to-digital converter circuit with the output of the second stage of the analog-to-digital converter circuit includes digitally recombining the output of the first stage of the analog-to-digital converter circuit with the output of the second stage of the analog-to-digital converter circuit using one of: (1) software; (2) hardware or (3) firmware.
An alternate embodiment of the analog-to-digital converter (ADC) system includes a first stage analog-to-digital converter circuit adapted to receive the analog input signal, to convert the analog input signal into a first stage digital output and to introduce redundancy in the first stage digital output; a second stage analog-to-digital converter circuit coupled to the first stage analog-to-digital converter circuit and adapted to generate a second stage digital output; and a digital correction unit coupled to the first stage analog-to-digital converter circuit and to the second stage analog-to-digital converter circuit, the digital correction unit adapted to combine the first stage digital output and the second stage digital output to generate the digital output signal and to use the redundancy to digitally correct an offset in the digital output signal. In an alternate embodiment of such an analog-to-digital converter (ADC) system, the first stage analog-to-digital converter circuit is a delta-sigma analog-to-digital converter circuit. In yet another embodiment of such an analog-to-digital converter (ADC) system, the first stage analog-to-digital converter circuit is further adapted to introduce redundancy by providing a voltage headroom in the first stage digital output.
In an alternate embodiment of such an analog-to-digital converter (ADC) system, the first stage analog-to-digital converter circuit is further adapted to introduce redundancy by confining the first stage digital output to a fraction of an available output range. Whereas in an alternate embodiment of such an analog-to-digital converter (ADC) system, the first stage analog-to-digital converter circuit is further adapted to introduce redundancy by modifying a quantizer of the first stage analog-to-digital converter circuit to remove an uppermost reference voltage from the first stage digital output. In an alternate embodiment of such an analog-to-digital converter (ADC) system the quantizer of the first stage analog-to-digital converter circuit includes a plurality of comparators and wherein the plurality of comparators including a higher number of comparators than that required for generating an output necessary for the second stage analog-to-digital converter circuit.
An alternate embodiment of the analog-to-digital converter (ADC) system is further adapted to input the first stage digital output to a second stage analog-to-digital converter circuit and further comprising a digital recombination circuit adapted to recombine the first stage digital output with the second stage digital output to cancel an error in a residue voltage caused by the offsets from the quantizer of the first stage analog-to-digital converter circuit. In an alternate embodiment of such an analog-to-digital converter (ADC) system the digital recombination circuit is further adapted to add a least significant bit first stage digital output to a most significant bit output from the second stage analog-to-digital converter circuit.
An embodiment of the present patent illustrates a first order ΔΣ ADC circuit 100 in
a illustrates reference voltages for a 3b quantizer consisting of 8 comparators. In a differential system, a residue voltage r(k) should be symmetric around zero and have a 0.5V magnitude if DAC1 110 uses ±0.5V as a reference, while the ADC1 105 uses ±1V as a reference. To use such a 3b FLASH ADC (3b FLASH) in the ΔΣ ADC circuit 100, a voltage equal to ±0.5V ref must be made available to the switched capacitor feedback DAC shown in
y=−0.2499V*4+0+Vdac=−0.2499*4+0.5V=−0.5V.
Similarly, when the input is near 0, assuming that the previous integrator output was 0,
y=0*4+Vdac=0*4+0.5V=0.5V.
This scheme will allow for ±0.5V redundancy for a second stage, which is enough for compensating for up to ±½ LSB of comparator offsets. However, four unique reference voltages are required with this scheme, and 7 comparators are necessary. By introducing a systematic offset of −¼ LSB and removing the uppermost reference voltage level as illustrated in
y=−0.3749V*4+0+Vdac=−0.3749*4+1V=−0.5V.
Similarly, when the input is near the −⅛V reference,
y=−0.125V*4+0+Vdac=−0.125*4+1V=0.5V.
The use of only two distinct reference voltages instead of four is a major benefit when designing the circuit, since the in-stage ADC and the DAC can be driven with the same reference voltages.
During digital processing, the digital output from the backend ADC2 115 is added to the output from ADC1 105 by aligning the LSB from ADC1 105 with the MSB from ADC2 115. The digital signal processing may be implemented by a digital signal processor using any one of software, hardware or firmware. The output of the first stage, labeled as d1 (k) on
Assume a 3b output being d32, d31, and d30, where d32 is the MSB and d30 is the LSB. Also assume an exemplary 4-bit output dr3, dr2, dr1, and dr0, where dr3 is the MSB and dr0 is the LSB. The resulting 6-bit word will be the result of the addition illustrated in the table below.
In this way, the effect of the systematic offset in the quantizer is removed and the tolerable comparator offset is still ±0.5 LSB.
Although the forgoing text sets forth a detailed description of numerous different embodiments of the invention, it should be understood that the scope of the invention is defined by the words of the claims set forth at the end of this patent. The detailed description is to be construed as exemplary only and does not describe every possible embodiment of the invention because describing every possible embodiment would be impractical, if not impossible. Numerous alternative embodiments could be implemented, using either current technology or technology developed after the filing date of this patent, which would still fall within the scope of the claims defining the invention.
Thus, many modifications and variation may be made in the techniques and structures described and illustrated herein without departing from the spirit and scope of the present invention. Accordingly, it should be understood that the methods and apparatus described herein are illustrative only and are not limiting upon the scope of the invention.
This application claims priority to U.S. Provisional Application Ser. No. 60/579,017, entitled, “Method and Apparatus for Operating a Delta Sigma ADC Circuit,” filed Jun. 10, 2004, the disclosure of which is hereby expressly incorporated herein by reference.
Number | Date | Country | |
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60579017 | Jun 2004 | US |