1. Technical Field
The present disclosure relates to the field of switched charge storage element networks and, more specifically, to switched charge storage element integrators.
2. Description of the Related Art
Switched charge storage element networks i.e., switched capacitor networks are widely used to perform several functions. One application of a switched capacitor network is sigma delta modulators. Sigma delta modulators encode high resolution signals into low resolution signals using pulse-density modulation, and they are used in various modern electronic devices, such as analog-to-digital and digital-to-analog converters, frequency synthesizers, switched-mode power supplies, and motor controls. There are predominantly two approaches for realizing sigma delta modulators, namely, discrete time architecture and continuous time architecture. Discrete time modulators have some advantages over their continuous time counterparts in terms of robustness with process variation, tolerance towards clock jitter, and feasibility to cascade multiple modulators to form multistage (MASH) architecture. However, discrete time modulators being sampled data systems require an anti-aliasing filter, which consumes substantial amount of silicon area. The continuous time modulators do not require an anti-aliasing filter and hence are a promising proposition for low area solution. However, continuous time modulators suffer from limitations of clock jitter sensitivity and rise/fall transients of feedback DAC. To address the issues arising as above, a hybrid of continuous time and discrete time architectures provides a discrete time switched capacitor DAC that replaces the continuous time feedback DAC in the modulator.
The time period of phase PH1 and phase PH2 is denoted as T and rising edge of PH2 is assumed as the beginning of a sample phase in the rest of the background disclosure.
Assuming R1*Ci<<T at the end of sample phase ‘n’, the output of integrator is approximated as:
Equation (1) denotes the basic operation of the integrator used inside a continuous time sigma delta modulator with discrete time feedback.
By mathematical manipulation it is clear that the equivalent noise source referred at VIN during phase PH2 is approximated by the equation:
By mathematical manipulation, the equivalent noise source at VIN during phase PH1 is:
Using equations (2) and (3):
Total equivalent noise at VIN is:
Since PH1 and PH2 are non-overlapping clocks, equation (4) is re-written as
By analyzing equation (5), it is observed that total equivalent noise has two components:
First component,
is a linear function of Vn(t) and its derivative. Hence, if the noise has any base band component it will remain in ADC baseband and out of band component will remain out of band.)
But the component U(PH1)×(Vn(t)×C1/C1) is effectively the convolution of two signals Vn(t) and clock signal PH1 in the frequency domain.
The spectrum of Vn(t) convolves with spectrum of clock PH1 which results in out of band frequencies folding back in the ADC baseband.
If the frequency of clock signal during PH1 is f0 and W is a frequency less than the maximum base band frequency, then any noise present in Vn(t) at frequency f0+W would fold back to the base band frequency W.
In accordance with the present disclosure, a system is provided that includes a differential input amplifier configured as an inverting integrator having an inverting terminal; a first switched charge storage element block structured to be periodically coupled to the inverting terminal of the amplifier by a coupling device; and a second switched charge storage element block identical to the first switched charge storage element block and structured to be periodically coupled to the inverting terminal by a coupling device, wherein whenever the first switched charge storage element block is decoupled from the inverting terminal, the second switched charge storage element block is coupled to the inverting terminal, and whenever the first switched charge storage element block is coupled to the inverting terminal, the second switched charge storage element block is decoupled from the inverting terminal.
In accordance with another aspect of the foregoing system, the first switched charge storage element block includes a first 2-terminal charge storage element; a first controlled switch coupling the first terminal of the first charge storage element to an input signal during an active state of a first clock signal; a second controlled switch coupling the first terminal of the first charge storage element to a reference voltage during an active state of a second clock signal; and a third controlled switch coupling the second terminal of the first charge storage element to the reference voltage during the active state of the first clock signal.
In accordance with another aspect of the foregoing system, the second switched charge storage element block includes a second 2-terminal charge storage element; a fifth controlled switch coupling the first terminal of the second charge storage element to the reference voltage VCM during the active state of the second clock signal; a sixth controlled switch coupling the first terminal of said second charge storage element to the reference voltage during the active state of the first clock signal; and a seventh controlled switch coupling the second terminal of the second charge storage element to the reference voltage during the active state of the second clock signal.
In accordance with another aspect of the present disclosure, a sigma delta modulator is provided that includes a switched charge storage element integrator, the integrator including a differential input amplifier configured as an inverting integrator having an inverting terminal; a first switched charge storage element block periodically coupled to the inverting terminal of said amplifier by a first means for coupling; and a second switched charge storage element block periodically coupled to the inverting terminal by a second means for coupling the integrator configured such that whenever the first switched charge storage element block is decoupled from the inverting terminal, the second switched charge storage element block is coupled to the inverting terminal, and whenever the first switched charge storage element block is coupled to the inverting terminal, the second switched charge storage element block is decoupled from the inverting terminal.
In accordance with another aspect of the present disclosure, a switched charge storage element integrator is provided that includes a differential input amplifier configured as an inverting integrator having an inverting input; a first switched charge storage element block periodically coupled to the inverting terminal of said amplifier by a first means for coupling; and a second switched charge storage element block periodically coupled to the inverting terminal by a second means for coupling, such that whenever the first switched charge storage element block is decoupled from the inverting terminal, the second switched charge storage element block is coupled to the inverting terminal, and whenever the first switched charge storage element block is coupled to the inverting terminal, the second switched charge storage element block is decoupled from the inverting terminal.
In accordance with another aspect of the present disclosure, a method for avoiding convolution of supply noise with a clock signal in a switched charge storage element integrator is provided, the method including periodically coupling a first switched charge storage element block to an inverting terminal of the integrator; and coupling a second switched charge storage element block to the inverting terminal for the duration for which the first switched charge storage element block is decoupled from the inverting terminal.
In accordance with another aspect of the foregoing method, the method includes controlling first and second switches coupled to the inverting terminal and respectively to the first and second switched charge storage element blocks to alternatingly couple the first and second switched charge storage element blocks to the integrator.
In accordance with another aspect of the present disclosure, a circuit is provided that includes a switched charge storage element integrator including a differential input amplifier configured as an inverting integrator having an inverting terminal; first and second switched charge storage element circuits; and first and second coupling devices having first terminals coupled to the respective first and second switched charge storage element circuits and second terminals coupled to the inverting terminal of the inverting integrator and controlled to alternatingly couple the first and second switched charge storage element circuit to the differential input amplifier so that whenever the first switched charge storage element circuit is coupled to the inverting terminal of the inverting integrator, the second switched charge storage element circuit is decoupled from the inverting terminal of the inverting integrator and whenever the second switched charge storage element circuit is coupled to the inverting terminal of the inverting integrator, the first switched charge storage element circuit is decoupled from the inverting terminal of the inverting integrator.
The aforementioned aspects and other features of the present disclosure will be explained in the following description when taken in conjunction with the accompanying drawings, wherein:
The embodiments of the present disclosure are described in detail with reference to the accompanying drawings. However, the present disclosure is not limited to these embodiments which are only provided to explain more clearly the present disclosure to one of ordinary skill in the art of the present disclosure. In the accompanying drawings, like reference numerals are used to indicate like components.
The present disclosure provides a switched charge storage element integrator in continuous or discrete time circuits. The integrator prevents fold back of the wide band supply noise in the single ended implementation of a continuous time integrator with a discrete time feedback DAC. A dummy switched charge storage element branch is added so as to make the supply noise continuous and eliminate its dependency on the clock phases, thereby zeroing its convolution with the clock.
The present disclosure also provides a switched charge storage element integrator. The switched charge storage element integrator includes a differential input amplifier configured as an inverting integrator, a first switched charge storage element block periodically coupled to the inverting terminal INM of the amplifier by a coupling means or device S4, and a second switched charge storage element block identical to the first switched charge storage element block periodically coupled to the inverting terminal INM by a coupling means or device S8. The arrangement is provided in such a way that whenever the first switched charge storage element block is decoupled from the inverting terminal INM, the second switched charge storage element block is coupled to the terminal INM. In another arrangement, whenever the first switched charge storage element block is coupled to the inverting terminal INM, the second switched charge storage element block is decoupled from terminal INM.
The disclosure further provides a sigma delta modulator that includes a switched charge storage element integrator. The switched charge storage element integrator includes a differential input amplifier configured as an inverting integrator, a first switched charge storage element block periodically coupled to the inverting terminal INM of the amplifier by a coupling means or device S4, and a second switched charge storage element block, preferably of identical construction to the first switched charge storage element block, periodically coupled to the inverting terminal INM by a coupling means or device S8. The arrangement is provided in such a way that whenever the first switched charge storage element block is decoupled from the inverting terminal INM, the second switched charge storage element block is coupled to terminal INM. In another arrangement, whenever the first switched charge storage element block is coupled to the inverting terminal INM, the second switched charge storage element block is decoupled from terminal INM.
The disclosure further provides a system that includes a switched charge storage element integrator. The switched charge storage element integrator includes a differential input amplifier configured as an inverting integrator, a first switched charge storage element block periodically coupled to the inverting terminal INM of the amplifier by a coupling means or device S4, and a second switched charge storage element block identical to the first switched charge storage element block periodically coupled to the inverting terminal INM by a coupling means or device S8. The arrangement is provided in such a way that whenever the first switched charge storage element block is decoupled from the inverting terminal INM, the second switched charge storage element block is coupled to terminal INM. In another arrangement, whenever the first switched charge storage element block is coupled to the inverting terminal INM, the second switched charge storage element block is decoupled from terminal INM.
The disclosure also includes a method for avoiding convolution of supply noise with a clock signal in a switched charge storage element integrator. In the first step of the method, a first switched charge storage element block is periodically coupled to an inverting terminal INM of the integrator. In the second step of the method, a second identical switched charge storage element block is coupled to the inverting terminal INM for the duration for which the first switched charge storage element block is decoupled from the inverting terminal INM. This makes the supply noise continuous and eliminates its dependency on the clock phases thereby zeroing its convolution with the clock signal.
The first controlled switch 51 is coupled to the first terminal of the first charge storage element C1. The first controlled switch 51 provides an input signal (DACOUT) to the first terminal of the first charge storage element C1 during the active state of a first clock signal CK1. The second controlled switch S2 is coupled to the first terminal of the first charge storage element C1. The second controlled switch S2 provides a reference voltage VCM to the first terminal of the first charge storage element C1 through a resistor R1 during an active state of second clock signal CK2. The third controlled switch S3 is coupled to the second terminal of the first charge storage element C1. The third controlled switch S3 provides the reference voltage VCM to the second terminal of the first charge storage element C1 during the active state of the first clock signal CK1.
The second switched charge storage element block 502 includes a second 2-terminal charge storage element C2, and a plurality of controlled switches (S5 to S8). The fifth controlled switch S5 is coupled to the first terminal of the second charge storage element C2. The fifth controlled switch S5 provides the reference voltage VCM to the first terminal of the second charge storage element C2 during the active state of the second clock signal CK2. The sixth controlled switch S6 is coupled to the first terminal of the second charge storage element C2. The sixth controlled switch S6 provides the reference voltage VCM to the first terminal of the second charge storage element C2 through a resistor R2 during the active state of the first clock signal CK1. The seventh controlled switch S7 is coupled to the second terminal of the second charge storage element C2. The seventh controlled switch S7 provides the reference voltage VCM to the second terminal of the second charge storage element C2 during the active state of the second clock signal CK2.
In this embodiment, the first 2-terminal charge storage element C1 and the second 2-terminal charge storage element C2 are capacitors.
During the active state of clock signal CK2, the fifth controlled switch S5 and seventh controlled switch S7 are “ON” thus discharging capacitor C2. During the active state of clock signal CK1, the first terminal of capacitor C2 is coupled to VCM and the second terminal is coupled to INM of operational amplifier XOPA. Hence during this period, the capacitor C2 transfers charge C2×[VCM−V(INM)] to INM.
Since INM is the virtual ground of the operational amplifier XOPA, in an ideal scenario it is assumed that V(INM)=V(INP)=VCM (in the absence of noise source at INP). Hence charge transferred by the capacitor C2 to Ci is 0.
The time period of the clock signals CK1 and CK2 is denoted as T and the rising edge of CK1 is assumed as beginning of a sample instance:
At the end of sample phase ‘n’ the output of integrator is:
The derived Equation (6) is exactly identical to equation (1)
The supply noise is introduced by means of a random noise source Vn(t) applied at the positive input terminal INP. By mathematical manipulation, it is clear that the equivalent noise source referred at VIN during the second clock signal CK2 is approximated by the equation:
Again, by simple mathematical manipulation, it is clear that the equivalent noise source at VIN during the active state of the first clock signal CK1 is:
From equation (2) and (3):
Total equivalent noise at VIN is:
Since CK1 and CK2 are non-overlapping clocks, equation (9) can be re-written as
Now if we make Ci=C2=C, from equation (10)
which is completely a linear function of Vn(t) and its derivative.
The noise component does not produce any convolution with clock signals, and hence higher frequency noise spectrum does not fold back into the base band, resulting in overall robustness of the ADC with respect to substrate and supply noise.
Embodiments of the method for avoiding convolution of supply noise with a clock signal in a switched charge storage element integrator is described in
The embodiments of the present disclosure, relating to a switched charge storage element integrator in a continuous or discrete time circuit, are used in various applications, such as analog-to-digital and digital-to-analog converters, frequency synthesizers, switched-mode power supplies, and motor controls.
Although the disclosure of the switched charge storage element integrator in a continuous or discrete time circuit has been described in connection with various embodiments of the present disclosure illustrated in the accompanying drawings, it is not limited thereto. It will be apparent to those skilled in the art that various substitutions, modifications and changes may be made thereto without departing from the scope and spirit of the disclosure.
The various embodiments described above can be combined to provide further embodiments. All of the U.S. patents, U.S. patent application publications, U.S. patent application, foreign patents, foreign patent application and non-patent publications referred to in this specification and/or listed in the Application Data Sheet are incorporated herein by reference, in their entirety. Aspects of the embodiments can be modified, if necessary to employ concepts of the various patents, application and publications to provide yet further embodiments.
These and other changes can be made to the embodiments in light of the above-detailed description. In general, in the following claims, the terms used should not be construed to limit the claims to the specific embodiments disclosed in the specification and the claims, but should be construed to include all possible embodiments along with the full scope of equivalents to which such claims are entitled. Accordingly, the claims are not limited by the disclosure.
Number | Date | Country | Kind |
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2559/DEL/2008 | Nov 2008 | IN | national |