The present invention relates generally to amplifier circuits, and more particularly to removing low frequency noise and noise due to a direct current (“DC”) offset voltage from the frequency band of a signal.
A differential (or difference) amplifier is a two-input circuit that amplifies the difference between its two inputs. An operational amplifier (or “op-amp”) is an example of a differential amplifier. (In some instances, a differential amplifier may be used to amplify a single input, with one of the inputs to the amplifier connected to a ground.) Such amplifiers are used in a wide variety of applications.
Ideally, it is desirable that a differential amplifier amplify only an applied input signal that creates a difference between the two inputs of the amplifier. However, in many cases the physical construction of the amplifier results in an DC offset voltage between the two inputs of the amplifier that is amplified along with the desired signal. Any DC offset voltage, as well as any low frequency noise present in that DC offset voltage, will also be amplified by circuit 100.
One of skill in the art will appreciate that there is a well-known technique for dealing with the low frequency and DC components of noise in an amplifier circuit such as that of
However, as will be seen, such a circuit has other disadvantages and artifacts that can disturb and degrade the input signal. It would be advantageous to be able to achieve the benefits of the auto-zero technique without having switches in the signal path or reversing the input signal.
Described herein is an apparatus for removing noise due to a DC offset voltage from the frequency band of a signal without reversing the input signal.
One embodiment discloses a circuit for removing noise due to a DC offset voltage in an amplifier from a signal frequency band, comprising: an amplifier having a non-inverting input, an inverting input, and an output, the non-inverting input connected to a ground; a first resistive device having a first end configured to receive an input signal in the signal frequency band and a second end connected to the inverting input of the amplifier; a second resistive device having a first end connected to the output of the amplifier and a second end connected to the inverting input of the amplifier; a third resistive device having a first end connected to the inverting input of the amplifier and a second end; a two-position switch having a first end connected to the second end of the third resistive device and a second end connected to a ground, whereby the second end of the third resistive device is connected through the two-position switch to the ground when the switch is in a first position and not connected through the two-position switch to the ground when the switch is in a second position; a single-bit sigma-delta modulator having an input connected to the output of the amplifier and an output, and configured to receive a sequence of clock edges and output a sequence of bits in response to the sequence of edges of a clock signal; an exclusive-or element having a first input connected to the output of the sigma-delta modulator, a second input, and an output; a switching signal source connected to the two-position switch and to the second input of the exclusive-or element and configured to provide a switching signal that opens and closes the two-position switch at a switching frequency not in the signal frequency band; whereby any noise due to the DC offset voltage in the amplifier is moved out of the signal frequency band and to the switching frequency and harmonics thereof.
Another embodiment discloses a circuit for removing noise due to a DC offset voltage in an amplifier from a signal frequency band, comprising: an amplifier having a non-inverting input, an inverting input, a non-inverted output and an inverted output; a first resistive device having a first end configured to receive an input signal in the signal frequency band and a second end connected to the non-inverting input of the amplifier; a second resistive device having a first end configured to receive an inverse of the input signal and a second end connected to the inverting input of the amplifier; a third resistive device having a first end connected to the inverted output of the amplifier and a second end connected to the non-inverting input of the amplifier; a fourth resistive device having a first end connected to the non-inverted output of the amplifier and a second end connected to the inverting input of the amplifier; a fifth resistive device having a first end connected to the non-inverting input of the amplifier and a second end; a two-position switch having a first end connected to the second end of the third resistive device and a second end connected to the inverting input of the amplifier, whereby the second end of the third resistive device is connected through the two-position switch to the inverting input of the amplifier when the switch is in a first position and not connected through the two-position switch to the inverting input of the amplifier when the switch is in a second position; a single-bit sigma-delta modulator having a first input connected to the inverted output of the amplifier, a second input connected to the non-inverted output of the amplifier, and an output, and configured to receive a sequence of clock edges and output a sequence of bits in response to the sequence of edges of a clock signal; an exclusive-or element having a first input connected to the output of the sigma-delta modulator, a second input, and an output; a switching signal source connected to the two-position switch and to the second input of the exclusive-or element and configured to provide a switching signal that opens and closes the two-position switch at a switching frequency not in the signal frequency band; whereby any noise due to the DC offset voltage in the amplifier is moved out of the signal frequency band and to the switching frequency and harmonics thereof.
Yet another embodiment discloses a circuit for removing noise due to a DC offset voltage in an amplifier from a signal frequency band, comprising: an amplifier having a non-inverting input, an inverting input, and an output, the non-inverting input connected to a ground; a first resistive device having a first end configured to receive an input signal in the signal frequency band and a second end connected to the inverting input of the amplifier; a second resistive device having a first end connected to the output of the amplifier and a second end connected to the inverting input of the amplifier; a third resistive device having a first end connected to the inverting input of the amplifier and a second end; a two-position switch having a first end connected to the second end of the third resistive device and a second end connected to a ground, whereby the second end of the third resistive device is connected through the two-position switch to the ground when the switch is in a first position and not connected through the two-position switch to the ground when the switch is in a second position; a switching signal source connected to the two-position switch and configured to provide a switching signal that opens and closes the two-position switch at a switching frequency not in the signal frequency band; whereby any noise due to the DC offset voltage in the amplifier is moved out of the signal frequency band and to the switching frequency and harmonics thereof.
Still another embodiment discloses a circuit for removing noise due to a DC offset voltage in an amplifier from a signal frequency band, comprising: an amplifier having a non-inverting input, an inverting input, a non-inverted output and an inverted output; a first resistive device having a first end configured to receive an input signal in the signal frequency band and a second end connected to the non-inverting input of the amplifier; a second resistive device having a first end configured to receive an inverse of the input signal and a second end connected to the inverting input of the amplifier; a third resistive device having a first end connected to the inverted output of the amplifier and a second end connected to the non-inverting input of the amplifier; a fourth resistive device having a first end connected to the non-inverted output of the amplifier and a second end connected to the inverting input of the amplifier; a fifth resistive device having a first end connected to the non-inverting input of the amplifier and a second end; a two-position switch having a first end connected to the second end of the third resistive device and a second end connected to the inverting input of the amplifier, whereby the second end of the third resistive device is connected through the two-position switch to the inverting input of the amplifier when the switch is in a first position and not connected through the two-position switch to the inverting input of the amplifier when the switch is in a second position; an adder configured to combine the inverting and non-inverting outputs of the amplifier; a switching signal source connected to the two-position switch and configured to provide a switching signal that opens and closes the two-position switch at a switching frequency not in the signal frequency band; whereby any noise due to the DC offset voltage in the amplifier is moved out of the signal frequency band and to the switching frequency and harmonics thereof.
Described herein is an apparatus for removing noise due to a DC offset voltage from the frequency band of a signal. The present approach seeks to improve upon the noise performance of prior art auto-zero circuits by moving input noise errors out of the band of interest by changing the noise gain of the system without the use of any switches in the signal path. Additionally, certain forms of an Analog to Digital Converter (“ADC”) can be augmented to include the noise gain changing aspect of the present approach with a resistor, switch and XOR gate.
In the present approach, the resistance through which an input signal passes to the amplifier is selectively changed by use of a single switch in response to a switching signal, thus switching the amplifier between two states with different noise gains. The output signal may be passed through a sigma-delta modulator and an exclusive-or gate clocked at a duty cycle such that the signal gain of the amplifier is unchanged while the different noise gain states cancel out, thus relocating the input noise errors to harmonic frequencies of the switching signal.
As above,
Again, in practice the actual construction of an op-amp results in a DC offset voltage between the two inputs to the op-amp.
The term “noise gain” is commonly used by analog circuit designers, and serves as a reminder that the offset voltage is just the DC component of the noise of the amplifier elements as compared to the input signal. It is well known that it is common for an amplifier to also exhibit low frequency noise of a magnitude that is inversely related to the frequency of the noise, sometimes called 1/F noise, F being the frequency of each component of the low frequency noise.
In the circuit diagrams discussed below, it is understood that an offset voltage will typically be present but, as in
As above, in some instances a differential amplifier may be used to amplify a single input, with one of the inputs to the amplifier connected to a ground.
It may be seen that circuit 400 is similar to circuit 100 of
Changing switches SI to their opposite positions will be seen to reverse the connections of input resistors R1 and feedback resistors R2 to amplifier A0, such that input signal In will connect to the inverting input of amplifier A0 instead of the non-inverting input, and input signal In-bar will connect to the non-inverting input of amplifier A0 instead of the inverting input. Changing switches SO to their opposite positions will have a similar effect of changing the outputs of amplifier A0. Thus, changing all four switches to their opposite positions at the same time keeps the feedback negative and the signal gain at R2/R1, and both states of the switches are stable.
As above, when switches SI and SO are in the position shown in
There is one condition to this, however; the noise (the 1/F noise and the noise due to the input error voltage of the amplifier) has not disappeared; rather, it is still present in the output as a signal that alternates between positive and negative at the rate of operation of the switches. The effect of the switching is to move the noise in the frequency domain to frequencies that surround the frequency of operation of the switches. For example, if the switches are operated at 1 kilohertz (“kHz”), the output spectrum will contain a series of harmonics of 1 kHz, the amplitudes of which add up to the value of the noise gain times the input noise. The auto-zero technique is thus best appreciated as a shifting of the 1/F noise and the noise of the amplifier in the frequency domain, rather than a complete removal of that noise.
Thus, for the average value of the output to have no error, the process of averaging the output must occur over a frequency band that does not contain the shifted DC and 1/F noise. This is usually the case since near-DC signals are easily filtered out, far from, for example, shifted noise at 1 kHz; for example, a digital voltmeter may measure at a rate of ten samples per second, thus using filtering of the band from DC to 10 Hz.
The frequency shifting nature of an auto-zero circuit leads to the further observation that while the troublesome DC offset and the low frequency 1/F noise are indeed removed from the band that will be averaged, any input noise that the amplifier has near the switching frequency is moved into the band being averaged.
For this reason, the auto-zero technique only works well if the amplifier has low noise near the switching frequency and a higher and troublesome noise in the low frequencies. This is usually the case: an amplifier typically exhibits a transition to an ever-increasing noise (the 1/F noise) as the frequency tends to zero. A graph of this 1/F characteristic then intercepts a flat noise of the amplifier, which is typically frequency independent thermal noise up to the bandwidth limit of the amplifier. For example, in an audio amplifier beginning at 10 Hz the noise will be high since 10 Hz is in the 1/F region of the amplifier. As the frequency increases this 1/F noise falls, and, in a typical case, at about 1 kHz the noise ceases to fall as the 1/F noise intercepts the flat noise which is equal at all frequencies.
If the auto-zero switching frequency is in the flat band region of the system, it will remove 1/F and DC errors and leave a low frequency error equal to only the flat band noise of the amplifier. This is typically a significant improvement.
In addition to these issues, one of skill in the art will appreciate that the presence of the switches SI and SO in the signal path is detrimental to the performance of circuit 400 because they cause artifacts in several ways. First, an ideal switch has no resistance when on, and thus should appear to be at zero ohms, and infinite resistance when off; in practice, switches are often not perfect, and thus the gain R2/R1 may be imprecise since the actual non-zero resistance when the switch is on adds to the resistor values. In addition, a pair of switches cannot precisely switch at the same time, thus causing either a momentary short (both switches on) or a momentary open-circuit (both switches off), which can significantly disturb the source driving the input and spoil the precise gain. Finally, there can be an interaction, usually a capacitive coupling, between the control signal and the terminal of the switch, which results in the control signal coupling into the signal being processed, causing a further artifact.
The present approach provides an alternate way to achieve the benefit of the prior art auto-zero technique without the reversal of the amplifier connections, and thus without the switches SI and SO. In the present approach, the signal is not disturbed or degraded by the presence of the switches and action of reversal, thus improving performance. Further, in use with a single-bit ΣΔ modulator the present approach uses far fewer components that the reversing switch circuit.
Another resistor with a value R3 is located such that it can be connected to or disconnected from the inputs to amplifier A0 by means of a switch SN that is activated by a switching signal AZ; with switch SN in the open position as shown, the noise gain is again −(R1+R2)/R1 as in
However, if switch SN is closed, the effective resistance through which each input signal In and In-bar passes is no longer R1; rather, R1 is now in parallel with half of R3 and the input resistance may be written as R1∥R3/2. (This may be seen by considering R3 as two resistors of R3/2 in series, with a ground in between them. When determining the noise gain calculation, the inputs In and In-bar may also be assumed to be grounded.)
Instead of −(R1+R2)/R1, the noise gain now becomes:
The signal gain of R2/R1 does not change when switch SN is opened or closed.
To simplify analysis, assume that the values R1=R2=R3/2. In this case the signal gain is unity and the noise gain if SN is open is two. Closing SN changes the noise gain to three. Thus, the signal and the noise are distinguished, as the signal output remains the same, but the noise output varies from minus two times its value to three times its value depending upon the state of switch SN.
Using this analysis, it is possible to construct a circuit in which switch SN is activated in such a way as to achieve the same effect as that of circuit 400 of
Suppose that the signal AZ causes both switch SN and gain element G to switch at a rate of 100 kHz. As above, if R1=R2=R3/2, the signal gain is unity and the noise gain is two if SN is open and three if SN is closed. If the gain of gain element G is set to 3 when SN is open, the output will contain six times the input noise of the amplifier; setting the gain to minus 2 when SN is closed will also result in six times the input noise of the amplifier, but with the opposite sign.
If signal AZ runs at this rate as in the prior art auto-zero methods, circuit 700 will produce an output with an average noise of zero, just as in circuit 400 discussed above; the noise is removed from the output signal as in the prior art, but without the input switching of circuit 400.
Meanwhile, the signal gain through amplifier A0 is unity whether switch SN is open or closed. The output signal is then also passed through gain element G, and moves from minus two times its nominal output to plus three times its nominal output, and thus the average value of Out is not zero but the same unity output that is produced by amplifier A0.
While
Still, in many situations, the present approach may be best utilized as part of an ADC where the output is digital, and the difference of the differently weighted outputs is calculated in the digital domain.
In the discussion of
For example, in circuit 700 of
Circuit 900 illustrates how varying the duty cycle simplifies using the present approach with a single bit sigma-delta modulator. Amplifier A0 forms the input stage to a single-bit sigma-delta modulator SD. The output bit from SD and the switching signal AZ are fed to an exclusive-or (XOR) gate, and the output of the XOR gate is then filtered by a sigma-delta filter to reconstruct the output signal.
The low time of AZ is proportional to the noise gain when it is high, the high time of the AZ signal is proportional to the noise gain when it is low. Thus, the change of gain of circuit 700 in
The changing noise gain of the amplifier circuit as described above is added to the SD filter when AZ is low and subtracted when SD is high; this is because in a single-bit sigma-delta modulator output stream inversion of the bit changes the sign of the signal.
The values of the noise gain are somewhat arbitrary but cannot be unity. They could even be as high as, for example, 100, although there is no practical point to making them that high. In general, it is desirable to keep the noise gains low but different enough to get a maximum change yet still allow the duty cycle to be adjusted to cause them to cancel out as described above. As long as the noise gains are different enough, the present approach will work; as explained above, the noise gains of 2 and 3 described above will obtain the desired results.
Using the present approach, input errors may thus be moved out of the band of interest by changing the noise gain of the system. The noise gain can be changed without the use of any switches in the signal path. Additionally, certain forms of an ADC can be augmented to include the noise gain changing aspect of the present approach with a resistor, switch and XOR gate.
The disclosed system has been explained above with reference to several embodiments. Other embodiments will be apparent to those skilled in the art in light of this disclosure. Certain aspects of the described method and apparatus may readily be implemented using configurations other than those described in the embodiments above, or in conjunction with elements other than or in addition to those described above. For example, as is well understood by those of skill in the art, various choices will be apparent to those of skill in the art, such as resistor values, gain, switching speeds, frequency bands, etc. Further, the illustration and description of certain filters, quantizers, etc., is exemplary; one of skill in the art will be able to select the appropriate elements that are appropriate for a particular application.
These and other variations upon the embodiments are intended to be covered by the present disclosure, which is limited only by the appended claims.
This application claims priority from Provisional Application No. 63/534,481 filed Aug. 24, 2023, which is incorporated by reference herein in its entirety.
Number | Date | Country | |
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63534481 | Aug 2023 | US |