CN103762990B - Sigma delta modulator structure with noise suppression capacity enhanced - Google Patents
Sigma delta modulator structure with noise suppression capacity enhanced Download PDFInfo
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- CN103762990B CN103762990B CN201410012909.9A CN201410012909A CN103762990B CN 103762990 B CN103762990 B CN 103762990B CN 201410012909 A CN201410012909 A CN 201410012909A CN 103762990 B CN103762990 B CN 103762990B
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Abstract
The invention discloses a sigma delta modulator structure with noise suppression capacity enhanced. Through a newly proposed noise suppression enhancing technology, under the condition of the same number of integrators, the order of suppression on quantized noise by a sigma delta modulator is improved by two orders. The order of suppression on the quantized noise by a traditional sigma delta modulator is consistent with the number of the integrators used by the traditional sigma delta modulator. A noise feedback loop is introduced based on the traditional modulator, when the noise feedback loop is applied to a single-ring structure modulator and an MASH structure structure modulator, the quantized noise shaping capacity with the order larger than the number of the integrators in the corresponding modulator can be achieved, under the condition of the same performance of a whole analog-digital converter, overall power consumption and the the chip area are reduced, and economic benefits are greatly improved.
Description
Technical field
The invention belongs to technical field of integrated circuits, particularly to a kind of noise inhibiting ability enhanced σ δ modulator knot
Structure.
Background technology
As the key interface of simulation and digital integrated electronic circuit, high-performance analog-digital converter is to whole mixed-signal system
Performance is most important.There is polytype analog-digital converter at present, for example, compare analog-digital converter, successive approximation modulus parallel
Converter, integral analogue-to-digital converter, streamline row analog-digital converter, σ δ analog-digital converter, wherein latter two analog-to-digital conversion
Device grows up after being.The each have their own feature of these analog-digital converters, comparing analog-digital converter parallel is in analog-digital converter
Conversion speed one kind the fastest, but its resolution ratio is not high, power consumption is big, high cost;Gradual approaching A/D converter speed
Power consumption is very low simultaneously quickly, but its resolution ratio is not high, typically at 12 once;Integral analogue-to-digital converter can reach very
High resolution ratio, such as 22, but conversion speed is very low.In the voice applications such as the audio A/D hybrid circuit in high-fidelity,
Analog-digital converter typically requires resolution ratio more than 16, and σ δ analog-digital converter becomes optimal selection.
Most quantization noise power is mainly moved by σ δ analog-digital converter by over-sampling and noise shaping
HFS, recycles digital filter to filter quantizing noise, thus realizing high accuracy.The precision master of σ δ analog-digital converter
To be determined by the exponent number of over-sampling multiple and noise shaping.Over-sampling multiple is higher, and the noise spectral density of quantizing noise is lower,
The exponent number of noise shaping is higher, and the noise in signal band is repressed more, thus improving the signal to noise ratio of output.
The performance improving σ δ analog-digital converter by improving over-sampling rate and can improve the exponent number of noise shaping Lai real
Existing.Over-sampling rate is higher, higher to the bandwidth requirement of amplifier in integrator, thus leading to bigger power consumption and area.Conventional junction
Structure often increases single order noise shaping exponent number and will accordingly increase an integrator, also just accordingly increases chip area and power consumption.
Thus it is possible in the case of not increasing integrator number, improving noise shaping exponent number, have a very big significance.
Content of the invention
Goal of the invention: for above-mentioned prior art, propose a kind of noise inhibiting ability enhanced σ δ modulator structure, energy
Enough in the case of not increasing integrator number, noise shaping ability is improved second order, and chip area and the inconspicuous increase of power consumption.
Technical scheme: a kind of enhanced σ δ modulator structure of noise inhibiting ability, including integrator, quantizer, feedback
Dac and noise feedback loop;Analog input signal x (z) exports, with feedback dac, the difference that z (z) subtracted each other before described integrator
Value a (z) input to integrator;Described quantizer output y (z) is as feedback dac input;Described integrator output b (z) is anti-with noise
Value preset d (z) that feedback loop output c (z) is added inputs as described quantizer;Described noise feedback loop input f (z) is described
Quantizer exports y (z) and quantizer inputs the difference of d (z);Described quantizer output y (z) is whole modulator output;Institute
The z domain transmission function stating noise feedback loop is g (z)=z-1(z-1-2).
As the preferred version of the present invention, described noise feedback loop include the first delay cell, the second delay cell with
And gain amplifying circuit;Quantizer is exported y (z) and is subtracted each other with quantizer input d (z) by described noise feedback loop, the f obtaining
Z () point two-way output after the first delay units delay a cycle, the first via of gained exports through the second delay cell
Postpone a cycle, the second tunnel output of the first delay cell is amplified through gain amplifying circuit, described second delay cell
The output of output and gain amplifying circuit obtains difference c (z) after subtracting each other, and described difference c (z) and described integrator export b (z) phase
Plus after as described quantizer input.
A kind of noise inhibiting ability enhancement mode σ δ modulator structure based on mash structure, including n modulation of cascade
Device, every grade of modulator is made up of the forward path of integrator and quantizer connection and feedback dac, quantifies in previous stage modulator
The difference that device output is inputted with quantizer is as the input of next stage modulator;It is anti-that described afterbody modulator also includes noise
Feedback loop, in described afterbody modulator, quantizer output is defeated as described noise feedback loop with the difference of quantizer input
Enter, the value preset that described noise feedback loop output is exported with integrator in afterbody modulator is modulated as described afterbody
Quantizer input in device;The z domain transmission function of described noise feedback loop is g (z)=z-1(z-1-2).
As the preferred version of the present invention, described noise feedback loop include the first delay cell, the second delay cell with
And gain amplifying circuit;Quantizer output in afterbody modulator and quantizer input are subtracted each other by described noise feedback loop,
The difference obtaining point two-way output after the first delay units delay a cycle, the first via output of gained is prolonged through second
Cell delay a cycle late, the second tunnel output of the first delay cell is amplified through gain amplifying circuit, described second delay
The output of unit and the output of gain amplifying circuit obtain difference after subtracting each other, and described difference is long-pending with described afterbody modulator
Device output is divided to input as quantizer in described afterbody modulator after being added.
Beneficial effect: the exponent number of the quantizing noise suppression achieved by traditional σ δ modulator, used with modulator
Integrator number is consistent.Noise inhibiting ability proposed by the invention enhanced σ δ modulator structure, in conventional modulated device base
On plinth, introduce noise feedback loop, when being applied to single ring architecture modulator and mash structural modulation device, in same integrators
In the case of number, all enable the quantized noise shaping ability of second order higher than integrator number in modulator, realize whole mould
In the case of number converter same performance, reduce overall power, reduce chip area, substantially increase economic benefit.
Brief description
Fig. 1 is the noise inhibiting ability enhanced σ δ modulator structure on the basis of single ring architecture of the present invention;
Fig. 2 is single order noise inhibiting ability of the present invention enhanced σ δ modulator structure instantiation;
Fig. 3 is the monocyclic noise inhibiting ability of second order of the present invention enhanced σ δ modulator structure instantiation;
Fig. 4 is the noise inhibiting ability enhanced σ δ modulator structure on mash architecture basics of the present invention;
Fig. 5 is 2-1mash construct noise rejection ability of the present invention enhanced σ δ modulator structure instantiation.
Specific embodiment
Below in conjunction with the accompanying drawings the present invention is done and further explain.
It is illustrated in figure 1 the noise inhibiting ability enhanced σ δ modulator structure on the basis of single ring architecture of the present invention.Bag
Include the integrator that z domain transfer function is h (z), quantizer q, feedback dac and z domain transfer function is the noise feedback loop of g (z).
Analog input signal x (z) exports, with feedback dac, difference a (z) input to integrator that z (z) subtracted each other before integrator.Quantizer
Output y (z) is as feedback dac input.Integrator exports b (z) and exports, with noise feedback loop, value preset d (z) work that c (z) is added
For quantizer input.It is that quantizer exports y (z) and quantizer inputs the difference of d (z) that noise feedback loop inputs f (z).Quantify
Device output y (z) is whole modulator output.
It is illustrated in figure 2 single order noise inhibiting ability of the present invention enhanced σ δ modulator structure instantiation 1.Noise is anti-
Feedback loop includes the first delay cell, the second delay cell and gain amplifying circuit.Quantizer is exported y by noise feedback loop
Z () is subtracted each other with quantizer input d (z), the f (z) obtaining point two-way output after the first delay units delay a cycle;Institute
The first via output obtaining is put through gain through the second delay units delay a cycle, the second tunnel output of the first delay cell
Big circuit amplifies;The output of the second delay cell and the output of gain amplifying circuit obtain difference c (z) after subtracting each other, this difference c
Z () is inputted as described quantizer after being added with integrator output b (z).The z domain transmission function of noise feedback loop be g (z)=
z-1(z-1- 2) quantizing noise that, e (z) introduces for quantizer, the noise transmission function (noise to whole modulator below
Transfer function, ntf) and signal transmission function (signal tranfer function, stf) derived:
Y (z)=z-1*x(z)+(1-z-1)3*e(z)
Can obtain:
stf=z-1
ntf=(1-z-1)3
From ntf, this single order noise inhibiting ability enhanced σ δ modulator structure can achieve three rank noise shapings, phase
The ratio single order noise shaping realized in conventional first order σ δ modulator, improves second-order noise rejection ability.
It is illustrated in figure 3 the monocyclic noise inhibiting ability of second order of the present invention enhanced σ δ modulator structure instantiation 2.Should
Structure is to add the noise feedback loop of the present invention on the basis of traditional second order σ δ modulator.This modulator include by
The forward path that two integrators, quantizer are sequentially connected and feedback dac are constituted.The structure of this noise feedback loop is same
In embodiment 1, noise feedback loop is consistent, and the input of noise feedback loop is quantizer output y (z) and quantizer input d (z)
Subtract each other, output c (z) of noise feedback loop exports b with second integral device2Z () inputs as described quantizer after being added.This is made an uproar
Acoustic feedback loop z domain transmission function is g (z)=z-1(z-1- 2) quantizing noise that, e (z) introduces for quantizer, below to whole
The noise transmission function (noise transfer function, ntf) of modulator and signal transmission function (signal
Tranfer function, stf) derived:
Y (z)=z-1*x(z)+(1-z-1)4*e(z)
Can obtain:
stf=z-1
ntf=(1-z-1)4
From ntf, this second-order noise rejection ability enhanced σ δ modulator structure can achieve quadravalence noise shaping, phase
The ratio second-order noise shaping realized in the monocyclic σ δ modulator of traditional second order, improves second-order noise rejection ability.
It is illustrated in figure 4 the noise inhibiting ability enhancement mode σ δ modulator structure based on mash structure for the present invention, including
N modulator of cascade, every grade of modulator is made up of the forward path of integrator and quantizer connection and feedback dac, previous
, as the input of next stage modulator, that is, the simulation of rear stage is defeated for the difference that in level modulator, quantizer output is inputted with quantizer
Enter the quantizing noise e that signal introduces for upper level quantizern-1(z).Afterbody modulator also includes noise feedback loop,
In rear stage modulator, quantizer output and the difference of quantizer input input as noise feedback loop, and noise feedback loop is defeated
Go out the value preset exporting with integrator in afterbody modulator to input as quantizer in afterbody modulator, i.e. simulation input
Signal en-1Z () feeds back signal v with quantizernZ () subtracted each other before integrator, its difference a (z) input to integrator;Integrator is defeated
Go out b (z) to be added with noise feedback loop output c (z), its value preset d (z) inputs as quantizer;Noise feedback loop inputs
Quantizer exports vnZ () inputs the difference of d (z) with quantizer.The z domain transmission function of noise feedback loop is g (z)=z-1(z-1-
2).The output v of quantizers at different levelsxZ () inputs each self-corresponding digital filter hxZ (), institute is subtracted each other in the output of each digital filter
Whole modulator output y (z) must be.
It is illustrated in figure 5 2-1mash construct noise rejection ability of the present invention enhanced σ δ modulator structure instantiation
3.This modulator structure include at different levels with traditional mash structure identical in z domain transfer function be h (z) integrator, quantify
Device q, and the noise feedback loop for g (z) for the z domain transfer function of afterbody, noise feedback loop z domain transmission function is g (z)
=z-1(z-1-2).e1(z)、e2Z quantizing noise that () introduces for quantizer, the analog input signal of mash structure afterbody is
The quantizing noise e that upper level quantizer introduces1(z);Analog input signal e1Z () feeds back signal v with quantizer2Z () is in integrator
Subtract each other, its difference a (z) input to integrator before;Integrator output b (z) is added with noise feedback loop output c (z), its value preset
d2Z () inputs as quantizer;The input of noise feedback loop is quantizer output v in afterbody modulator2(z) and quantizer
Input d2The difference of (z);The output v of quantizers at different levelsxZ () inputs each self-corresponding digital filter hxZ (), by each numeral filter
The output of ripple device is subtracted each other gained and is whole modulator output y (z).Noise transmission function (noise to whole modulator below
Transfer function, ntf) and signal transmission function (signal tranfer function, stf) derived:
In traditional two-stage mash structure:
v1(z)=stf1(z)*x(z)+ntf1(z)*e1(z)
v2(z)=stf2(z)*e1(z)+ntf2(z)*e2(z)
h1(z)*ntf1(z)-h2(z)*stf2(z)=0
Wherein, make
h1(z)=stf2(z)
h2(z)=ntf1(z)
Then have
y(z)=h1(z)*v1(z)-h2(z)*v2(z)
y(z)=stf1(z)*stf2(z)*x(z)-ntf1(z)*ntf2(z)*e2(z)
Show in structure in Fig. 5:
v1(z)=z-1*x(z)+(1-z-1)2*e1(z)
v2(z)=z-1*e1(z)+(1-z-1)3*e2(z)
Order: h1(z)=stf2(z)=z-1
h2(z)=ntf1(z)(1-z-1)2
Then have
y(z)=h1(z)*v1(z)-h2(z)*v2(z)
y(z)=z-2*x(z)-(1-z-1)5*e2(z)
From ntf, this 2-1mash construct noise rejection ability enhanced σ δ modulator structure can achieve five rank noises
Shaping, the three rank noise shapings realized compared to traditional 2-1mash structural modulation device, improve second-order noise rejection ability, and
Maintain the stability of traditional 2-1mash structural modulation device.
The above is only the preferred embodiment of the present invention it is noted that ordinary skill people for the art
For member, under the premise without departing from the principles of the invention, some improvements and modifications can also be made, these improvements and modifications also should
It is considered as protection scope of the present invention.
Claims (4)
1. a kind of enhanced σ δ modulator structure of noise inhibiting ability it is characterised in that: include integrator, quantizer, feedback
Dac and noise feedback loop;Analog input signal x (z) exports, with feedback dac, the difference that z (z) subtracted each other before described integrator
Value a (z) input to integrator;Described quantizer output y (z) is as feedback dac input;Described integrator output b (z) is anti-with noise
Value preset d (z) that feedback loop output c (z) is added inputs as described quantizer;Described noise feedback loop input f (z) is described
Quantizer exports y (z) and quantizer inputs the difference of d (z);Described quantizer output y (z) is whole modulator output;Institute
The z domain transmission function stating noise feedback loop is g (z)=z-1(z-1-2).
2. a kind of enhanced σ δ modulator structure of noise inhibiting ability according to claim 1 it is characterised in that: described
Noise feedback loop includes the first delay cell, the second delay cell and gain amplifying circuit;Described noise feedback loop will
Quantizer output y (z) is subtracted each other with quantizer input d (z), and the f (z) obtaining divides after the first delay units delay a cycle
Two-way exports, and the first via of gained exports through the second delay units delay a cycle, and the second tunnel of the first delay cell is defeated
Go out and amplify through gain amplifying circuit, the described output of the second delay cell is poor after subtracting each other with the output of gain amplifying circuit
Value c (z), described difference c (z) is inputted as described quantizer after being added with described integrator output b (z).
3. a kind of noise inhibiting ability enhancement mode σ δ modulator structure based on mash structure it is characterised in that: include cascade
N modulator, the forward path that every grade of modulator is connected by integrator and quantizer and feedback dac constitute, and previous stage is adjusted
The difference that in device processed, quantizer output is inputted with quantizer is as the input of next stage modulator;Afterbody modulator also includes
Noise feedback loop, in described afterbody modulator, quantizer output and the difference of quantizer input are as described noise feedback
Loop inputs, the value preset of the output of described noise feedback loop and integrator output in afterbody modulator as described last
Quantizer input in level modulator;The z domain transmission function of described noise feedback loop is g (z)=z-1(z-1-2).
4. a kind of noise inhibiting ability enhancement mode σ δ modulator structure based on mash structure according to claim 3,
It is characterized in that: described noise feedback loop includes the first delay cell, the second delay cell and gain amplifying circuit;Described
Quantizer output in afterbody modulator and quantizer input are subtracted each other by noise feedback loop, and the difference obtaining is prolonged through first
Point two-way output after cell delay a cycle late, the first via of gained exports through the second delay units delay a cycle,
Second tunnel output of the first delay cell is amplified through gain amplifying circuit, and the output of described second delay cell is amplified with gain
The output of circuit obtains difference after subtracting each other, and described difference is exported with integrator in described afterbody modulator after being added as institute
State quantizer input in afterbody modulator.
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CN104901701B (en) * | 2015-06-04 | 2018-03-16 | 福州大学 | A kind of high Two-orders structure Sigma Delta modulators |
CN104883189B (en) * | 2015-06-04 | 2018-05-25 | 福州大学 | Include the cascade structure Sigma-Delta modulator in path between grade |
CN107222216B (en) * | 2017-06-05 | 2020-05-15 | 中国科学技术大学 | Second-order continuous-time SD analog-to-digital converter using self-noise coupling |
CN107809604B (en) * | 2017-10-25 | 2020-11-06 | 天津大学 | Row channel reading circuit for large-area array infrared image sensor |
CN110661531B (en) * | 2018-06-28 | 2022-02-25 | 硅谷介入有限公司 | Suppression of metastability in a noise shaping control loop using differential delay feedback |
US11611353B2 (en) * | 2021-06-04 | 2023-03-21 | Institute of Microelectronics, Chinese Academy of Sciences | Quantizer for sigma-delta modulator, sigma-delta modulator, and noise-shaped method |
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