JPH08242173A - Integrator and delta sigma modulator of distributed feedback type - Google Patents

Integrator and delta sigma modulator of distributed feedback type

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Publication number
JPH08242173A
JPH08242173A JP4222495A JP4222495A JPH08242173A JP H08242173 A JPH08242173 A JP H08242173A JP 4222495 A JP4222495 A JP 4222495A JP 4222495 A JP4222495 A JP 4222495A JP H08242173 A JPH08242173 A JP H08242173A
Authority
JP
Japan
Prior art keywords
output
integrator
signal
input
limiter
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
JP4222495A
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Japanese (ja)
Other versions
JP3303585B2 (en
Inventor
Shigeo Tagami
繁男 田上
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Sony Corp
Original Assignee
Sony Corp
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Filing date
Publication date
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Priority to JP04222495A priority Critical patent/JP3303585B2/en
Publication of JPH08242173A publication Critical patent/JPH08242173A/en
Application granted granted Critical
Publication of JP3303585B2 publication Critical patent/JP3303585B2/en
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

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Abstract

PURPOSE: To stably hold the whole system by gradually saturating each integra tion stage from a high order to a low order corresponding to the amplitude width of an input signal. CONSTITUTION: These integrators 11 to 14 obtain an integration output by adding a signal obtained by delaying its own integration output by one sample and an after-mentioned feedback signal, inputting the added output to a limiter 2 and adding the output of the limiter 2 and the integration input. These integrators 11 to 14 are combined to be plural stages in serial so that an input signal X is inputted to the integrator 11 at a first stage and the output of the integrator 14 at a last stage is inputted to a quantizer 30. Then a signal obtained by delaying the output signal of the quantizer 30 and multiplying it by a proper coefficient is made the feedback signal to each integrator 11 to 14.

Description

【発明の詳細な説明】Detailed Description of the Invention

【0001】[0001]

【産業上の利用分野】この発明は、ディジタル・オーデ
ィオ機器などにおけるA/D変換器およびD/A変換器
の主要な構成要素であるΔΣ変調器(海外ではΣΔ変調
器と呼ぶのが一般的である。)に関し、特に、複数の積
分器を直列的に結合する分散フィードバック式ΔΣ変調
器とそれに使用する積分器に関する。
BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention is a ΔΣ modulator (generally called a ΣΔ modulator overseas, which is a main constituent of A / D converters and D / A converters in digital audio equipment and the like. In particular, the present invention relates to a distributed feedback ΔΣ modulator in which a plurality of integrators are connected in series and an integrator used for the distributed feedback ΔΣ modulator.

【0002】[0002]

【従来の技術】A/D変換器及びD/A変換器における
ΔΣ変調器にはフィードフォワード方式と分散フィード
バック方式とがある。分散フィードバック方式はフィー
ドフォワード方式における加算器が不要であるため、回
路の小型化が図れる、伝達関数を広く選べるなどのメリ
ットをあり、かかる分散フィードバック式ΔΣ変調器の
基本構成が図3(a)に示されている。
2. Description of the Related Art A / D converters and ΔΣ modulators in D / A converters include a feedforward system and a distributed feedback system. Since the distributed feedback system does not require an adder in the feedforward system, it has the merit that the circuit can be downsized and the transfer function can be widely selected. The basic configuration of such a distributed feedback system ΔΣ modulator is shown in FIG. Is shown in.

【0003】図3(a)において、この例は、4つの積
分器11、12、13、14を直列に結合した4次ΔΣ
変調器である。各積分段間には係数器21、22、23
がそれぞれ挿入されている。初段の積分器11に入力信
号Xが印加され、終段の積分器14の出力が量子化器3
0に入力されて量子化信号Yが得られる。量子化信号Y
は、1サンプル遅延器40で遅延され、それぞれ係数器
51、52、53、54を介して各積分器11、12、
13、14の入力段にフィードバックされ、各段の積分
入力に対して前記フィードバック信号が加算される(正
確には減算である)。各積分器11〜14は図3(b)
のように、自身の積分出力を遅延器1で1サンプル遅延
し、その遅延信号と積分入力信号とを加算することで積
分出力を得るように構成されている。
In FIG. 3A, this example shows a fourth-order ΔΣ in which four integrators 11, 12, 13, and 14 are connected in series.
It is a modulator. Coefficient units 21, 22, 23 are provided between the integration stages.
Are inserted respectively. The input signal X is applied to the integrator 11 in the first stage, and the output of the integrator 14 in the final stage is the quantizer 3
0 is input to obtain a quantized signal Y. Quantized signal Y
Is delayed by the 1-sample delay unit 40, and each integrator 11, 12, through the coefficient unit 51, 52, 53, 54, respectively.
It is fed back to the input stages of 13 and 14, and the feedback signal is added (correctly, subtraction) to the integration input of each stage. Each integrator 11-14 is shown in FIG.
As described above, the integrated output of itself is delayed by one sample by the delay device 1, and the integrated output is obtained by adding the delayed signal and the integrated input signal.

【0004】ここで、図3(a)の分散フィードバック
式ΔΣ変調器において、大振幅の入力信号Xが印加され
ても系を安定に保つためには、入力Xから出力Yに至る
伝送系に振幅制限手段(リミッタ)を付加する必要があ
る。そこで、従来では、図3(c)に示すように、各積
分器11〜14の積分信号の出力経路上にリミッタ2を
挿入することが考えられた。
Here, in the distributed feedback ΔΣ modulator of FIG. 3A, in order to keep the system stable even when a large amplitude input signal X is applied, the transmission system from the input X to the output Y is used. It is necessary to add amplitude limiting means (limiter). Therefore, conventionally, as shown in FIG. 3C, it has been considered to insert the limiter 2 on the output path of the integrated signal of each of the integrators 11 to 14.

【0005】[0005]

【発明が解決しようとする課題】しかしながら、各積分
段をすべて図3(c)のように構成したのでは、当然な
がら第4次の積分器14中のリミッタ2が最初に作動す
ることになるが、各積分器11〜14が直列接続されて
いるので、作動した第4次のリミッタ2によって他3段
の信号ループも制限を受けてしまい、入力Xから出力Y
に至る系が非線形になってしまう。
However, if all the integration stages are constructed as shown in FIG. 3 (c), the limiter 2 in the fourth-order integrator 14 operates first as a matter of course. However, since the integrators 11 to 14 are connected in series, the signal loops of the other three stages are also limited by the activated fourth-order limiter 2, and the input X to the output Y
The system leading to becomes non-linear.

【0006】つまり、入力信号の振幅レベルに応じて各
積分段が高次から低次へと徐々に飽和して系全体を安定
に保つというのが理想的な振幅制限手段の動作である
が、図3(c)のリミッタつき積分器で図3(a)の分
散フィードバック式ΔΣ変調器を構成したのでは、その
ような動作は実現できないのである。
That is, the ideal operation of the amplitude limiting means is that each integration stage is gradually saturated from high order to low order according to the amplitude level of the input signal to keep the whole system stable. If the distributed feedback ΔΣ modulator of FIG. 3A is configured by the integrator with a limiter of FIG. 3C, such an operation cannot be realized.

【0007】この発明は前述した従来の問題点に鑑みな
されたもので、その目的は、入力信号の振幅レベルに応
じて各積分段が高次から低次へと徐々に飽和して系全体
を安定に保てるようにした分散フィードバック式ΔΣ変
調器およびそのための積分器を提供することにある。
The present invention has been made in view of the above-mentioned conventional problems, and an object thereof is to gradually saturate each integration stage from a high order to a low order according to the amplitude level of an input signal and to make the entire system. It is an object of the present invention to provide a distributed feedback ΔΣ modulator that can be kept stable and an integrator for the same.

【0008】[0008]

【課題を解決するための手段】この発明による積分器
は、自身の積分出力を1サンプル遅延した信号と別系統
からのフィードバック信号とを加算し、その加算出力を
リミッタに入力し、そのリミッタの出力と積分入力を加
算することで前記積分出力を得る構成とした。
An integrator according to the present invention adds a signal obtained by delaying its own integrated output by one sample and a feedback signal from another system, inputs the added output to a limiter, and outputs the added output of the limiter. The integrated output is obtained by adding the output and the integrated input.

【0009】そして前記の構成の積分器を複数段直列に
結合し、初段の積分器に入力信号を加え、終段の積分器
の出力を量子化器に入力し、その量子化器の出力信号を
1サンプル遅延するとともに適宜に係数を掛けた信号を
各積分器に対する前記フィードバック信号とすることで
分散フィードバック式ΔΣ変調器を構成した。
Then, the integrators having the above-mentioned structure are connected in series, and an input signal is added to the integrator at the first stage, the output of the integrator at the final stage is input to the quantizer, and the output signal of the quantizer is input. A distributed feedback ΔΣ modulator is constructed by delaying the signal by one sample and using the signal multiplied by an appropriate coefficient as the feedback signal for each integrator.

【0010】[0010]

【作用】自身の積分出力を1サンプル遅延した信号とフ
ィードバック信号との加算出力にリミッタを利かせ、そ
のリミッタの出力と積分入力を加算して前記の積分出力
とするので、リミッタの振幅制限機能が作動した場合で
も、積分入力と加算されるリミッタ出力が飽和するだけ
で、積分入力から積分出力に至る系が飽和するわけでは
ない。したがって、この積分器を複数段直列接続する分
散フィードバック式ΔΣ変調器においては、高次(最終
段)の積分器のリミッタが働いても、その段の積分機能
は飽和するものの、より低次の他の段の積分器の動作に
は支障はなく、初段の入力から出力段の量子化器に至る
系はほぼ線形に保たれる。そのため大振幅の入力に対し
ても安定に動作し、良好な特性を示すΔΣ変調器を実現
できる。
Since the limiter is applied to the added output of the signal obtained by delaying the integrated output of itself by one sample and the feedback signal, and the output of the limiter and the integrated input are added to form the integrated output, the amplitude limiting function of the limiter. Even when is activated, the limiter output added to the integral input is saturated, but the system from the integral input to the integral output is not saturated. Therefore, in a distributed feedback ΔΣ modulator in which a plurality of stages of these integrators are connected in series, even if the limiter of a high-order (final stage) integrator works, the integration function of that stage is saturated, but a lower-order integrator is used. There is no hindrance to the operation of the integrators of the other stages, and the system from the input of the first stage to the quantizer of the output stage is kept almost linear. Therefore, it is possible to realize a ΔΣ modulator that operates stably even with a large amplitude input and exhibits excellent characteristics.

【0011】[0011]

【実施例】以下、本発明の実施例を図面に基づき説明す
る。図1はこの発明の一実施例による4次の分散フィー
ドバック式ΔΣ変調器の概略構成を示している。基本構
成は従来のものと同様であり、4つの積分器11、1
2、13、14を直列に結合した4次ΔΣ変調器であ
る。各積分段間には係数器21、22、23がそれぞれ
挿入されている。初段の積分器11に入力信号Xが印加
され、終段の積分器14の出力が量子化器30に入力さ
れて量子化信号Yが得られる。量子化信号Yは、1サン
プル遅延器40で遅延され、それぞれ係数器51、5
2、53、54を介して各積分器11、12、13、1
4にフィードバックされる。
Embodiments of the present invention will be described below with reference to the drawings. FIG. 1 shows a schematic configuration of a fourth-order distributed feedback ΔΣ modulator according to an embodiment of the present invention. The basic structure is the same as the conventional one, and four integrators 11 and 1
This is a fourth-order ΔΣ modulator in which 2, 13, and 14 are connected in series. Coefficient units 21, 22, and 23 are inserted between the respective integration stages. The input signal X is applied to the integrator 11 in the first stage, the output of the integrator 14 in the final stage is input to the quantizer 30, and the quantized signal Y is obtained. The quantized signal Y is delayed by the 1-sample delay unit 40, and the coefficient units 51 and 5 are respectively delayed.
Via integrators 11, 12, 13, 1 via 2, 53, 54
Feedback to 4.

【0012】各積分器11〜14にはそれぞれリミッタ
2が内蔵されており、積分のための1サンプル遅延器1
と積分入力と積分出力とフィードバック信号との関係
が、従来技術の項で説明した図3(c)の構成と大きく
異なる。即ち、図1に示しているように、この発明の各
積分器11〜14においては、自身の積分出力を1サン
プル遅延した遅延器1の出力と、それぞれ係数器51〜
54を経たフィードバック信号とがまず加算器61〜6
4にて加算され、その加算出力をリミッタ2に入力し、
リミッタ2の出力と積分入力が加算器65〜68にて加
算されて前記の積分出力となる。
A limiter 2 is built in each of the integrators 11 to 14, and a 1-sample delay unit 1 for integration is used.
The relationship among the integration input, the integration output, and the feedback signal is significantly different from the configuration of FIG. 3C described in the section of the related art. That is, as shown in FIG. 1, in each of the integrators 11 to 14 of the present invention, the output of the delay device 1 obtained by delaying the integrated output of itself by one sample and the coefficient devices 51 to 51, respectively.
The feedback signal that has passed through 54 is first added by the adders 61 to 6
Added in 4, input the added output to the limiter 2,
The output of the limiter 2 and the integral input are added by the adders 65 to 68 to form the integral output.

【0013】この構成の積分器を4段直列接続した分散
フィードバック式ΔΣ変調器においては、入力信号Xの
振幅が大きくなり、最終段の積分器14のリミッタ2が
働いても、その段の積分機能は飽和するものの、より低
次の他の段の積分器11、12、13の動作には支障は
なく、初段の入力信号Xから出力段の量子化器30に至
る系はほぼ線形に保たれる。さらに入力信号Xのレベル
が大きくなると、つぎに第3次の積分器13のリミッタ
2も働くが、入力Xから出力Yに至る系はほぼ線形に保
たれる。さらに入力Xのレベルが大きくなると、第2次
の積分器12のリミッタ2も働くが、やはり入出力系の
全体はほぼ線形に保たれる。
In the distributed feedback ΔΣ modulator in which four stages of integrators of this configuration are connected in series, even if the limiter 2 of the final stage integrator 14 works, the integration of that stage is performed even if the amplitude of the input signal X becomes large. Although the function is saturated, it does not hinder the operation of the integrators 11, 12, and 13 of the other stages of lower order, and the system from the input signal X of the first stage to the quantizer 30 of the output stage is kept almost linear. Be drunk When the level of the input signal X further increases, the limiter 2 of the third-order integrator 13 also operates next, but the system from the input X to the output Y is kept substantially linear. When the level of the input X further increases, the limiter 2 of the second-order integrator 12 also works, but the input / output system as a whole is kept almost linear.

【0014】この発明の他の実施例による積分器の構成
を図2(a)に示している。この実施例はアナログ式の
積分器である。積分器の主体はオペアンプOPとコンデ
ンサC0であり、ダイオードD1とダイオードD2が前
記のリミッタ2に相当する。この積分器は、これに含ま
れる4個のスイッチSW1〜SW4がつぎのように4相
のタイミングで動作する。
The structure of the integrator according to another embodiment of the present invention is shown in FIG. This embodiment is an analog integrator. The main body of the integrator is the operational amplifier OP and the capacitor C0, and the diode D1 and the diode D2 correspond to the limiter 2 described above. In this integrator, the four switches SW1 to SW4 included therein operate at the four-phase timing as follows.

【0015】即ち、1相目は、SW1=a、SW2=
b、SW3=a、SW4=OFFとなり、コンデンサC
iには積分入力がチャージされ、コンデンサCfにはフ
ィードバック信号がチャージされる。2相目は、SW1
=開放、SW2=a、SW3=b、SW4=ONとな
り、コンデンサCfにチャージされていた電荷がコンデ
ンサC0に加算される。コンデンサC0にダイオードD
1とダイオードD2が並列接続されているので、コンデ
ンサC0の電圧はダイオード順方向降下電圧0.7ボル
トを越えない(これがリミッタの作用である)。3相目
は、SW1=b、SW2=a、SW3=開放、SW4=
OFFとなり、コンデンサCiにチャージされていた電
荷がコンデンサC0に加算される。このときダイオード
D1とダイオードD2が切り離されているため、結果と
して積分入力にリミッタの制限値が加算されているのと
同じになる。この回路の等価回路が図2(b)である。
That is, in the first phase, SW1 = a, SW2 =
b, SW3 = a, SW4 = OFF, capacitor C
i is charged with the integral input, and the capacitor Cf is charged with the feedback signal. The second phase is SW1
= Open, SW2 = a, SW3 = b, SW4 = ON, and the charge charged in the capacitor Cf is added to the capacitor C0. Diode D in capacitor C0
Since 1 and diode D2 are connected in parallel, the voltage on capacitor C0 does not exceed the diode forward drop voltage of 0.7 volts (this is the action of the limiter). In the third phase, SW1 = b, SW2 = a, SW3 = open, SW4 =
It is turned off, and the electric charge charged in the capacitor Ci is added to the capacitor C0. At this time, since the diode D1 and the diode D2 are separated, the result is the same as the limit value of the limiter being added to the integral input. The equivalent circuit of this circuit is shown in FIG.

【0016】以上より、アナログ回路の積分器において
も同様に1サンプル前の信号と、出力からのフィードバ
ック信号を先に加算してからリミッタをかけ、主となる
信号線に加算することができる。尚、上記実施例では積
分器11〜14が4段の場合について示したが、積分器
は2段以上であれば本発明を適用できる。
As described above, also in the integrator of the analog circuit, similarly, the signal one sample before and the feedback signal from the output can be added first, and then the limiter can be applied and added to the main signal line. In the above embodiment, the case where the integrators 11 to 14 have four stages is shown, but the present invention can be applied as long as the integrator has two stages or more.

【0017】[0017]

【発明の効果】以上述べたように本発明によれば、自身
の積分出力を1サンプル遅延した信号と下記するフィー
ドバック信号とを加算し、その加算出力をリミッタに入
力し、そのリミッタの出力を積分入力を加算することで
前記積分出力を得る積分器を複数段直列に結合し、初段
の積分器に入力信号を加え、終段の積分器の出力を量子
化器に入力し、その量子化器の出力信号を1サンプル遅
延するとともに適宜に係数を掛けた信号を各積分器に対
するフィードバック信号とするよう構成したので、入力
信号の振幅レベルに応じて各積分段が高次から低次へと
徐々に飽和して系全体を安定に保つことができるという
効果がある。即ち、分散フィードバック式変調器はフィ
ードフォワード式変調器と比べて、量子化器前の加算器
が不要で伝達関数および内部振幅をより自由に設定でき
るという利点を有している。そして、この利点を失うこ
となく、大振幅の入力にも安定して動作し、良好な特性
を示すΔΣ変調器を構成できる。
As described above, according to the present invention, the signal obtained by delaying its own integrated output by one sample and the feedback signal described below are added, the added output is input to the limiter, and the output of the limiter is set. An integrator that obtains the integrated output by adding the integrated inputs is connected in multiple stages in series, an input signal is added to the integrator in the first stage, the output of the integrator in the final stage is input to the quantizer, and the quantization is performed. Since the output signal of the integrator is delayed by one sample and the signal multiplied by an appropriate coefficient is used as the feedback signal for each integrator, each integration stage changes from high order to low order according to the amplitude level of the input signal. It has the effect of gradually saturating and keeping the whole system stable. That is, the distributed feedback modulator has an advantage over the feedforward modulator in that the adder before the quantizer is unnecessary and the transfer function and the internal amplitude can be set more freely. Then, without losing this advantage, it is possible to construct a ΔΣ modulator that stably operates even with a large amplitude input and exhibits excellent characteristics.

【図面の簡単な説明】[Brief description of drawings]

【図1】この発明の一実施例による分散フィードバック
式ΔΣ変調器の構成図。
FIG. 1 is a configuration diagram of a distributed feedback type ΔΣ modulator according to an embodiment of the present invention.

【図2】(a)はこの発明の他の実施例による積分器の
構成図、(b)はその等価回路図。
2A is a configuration diagram of an integrator according to another embodiment of the present invention, and FIG. 2B is an equivalent circuit diagram thereof.

【図3】(a)は分散フィードバック式ΔΣ変調器の基
本構成図、(b)は積分器の構成図、(c)は従来の積
分器の構成図。
3A is a basic configuration diagram of a distributed feedback ΔΣ modulator, FIG. 3B is a configuration diagram of an integrator, and FIG. 3C is a configuration diagram of a conventional integrator.

【符号の説明】[Explanation of symbols]

1,40…1サンプル遅延器 2…リミッタ 11〜14…積分器 21〜23,51〜54…係数器 30…量子化器 1, 40 ... 1 sample delay device 2 ... Limiter 11-14 ... Integrator 21-23, 51-54 ... Coefficient device 30 ... Quantizer

Claims (2)

【特許請求の範囲】[Claims] 【請求項1】 自身の積分出力を1サンプル遅延した信
号と別系統からのフィードバック信号とを加算し、その
加算出力をリミッタに入力し、そのリミッタの出力と積
分入力を加算することで前記積分出力を得ることを特徴
とする積分器。
1. The integration is performed by adding a signal obtained by delaying its own integrated output by one sample and a feedback signal from another system, inputting the addition output to a limiter, and adding the output of the limiter and the integration input. An integrator characterized by obtaining an output.
【請求項2】 自身の積分出力を1サンプル遅延した信
号と下記するフィードバック信号とを加算し、その加算
出力をリミッタに入力し、そのリミッタの出力と積分入
力を加算することで前記積分出力を得る積分器を複数段
直列に結合し、 初段の積分器に入力信号を加え、終段の積分器の出力を
量子化器に入力し、その量子化器の出力信号を1サンプ
ル遅延するとともに適宜に係数を掛けた信号を各積分器
に対するフィードバック信号とすることを特徴とする分
散フィードバック式ΔΣ変調器。
2. The integrated output of itself is delayed by one sample and a feedback signal described below are added, the added output is input to a limiter, and the integrated output is obtained by adding the output of the limiter and the integrated input. The integrators to be obtained are connected in multiple stages in series, the input signal is added to the integrator at the first stage, the output of the integrator at the final stage is input to the quantizer, and the output signal of the quantizer is delayed by one sample and appropriately A distributed feedback delta-sigma modulator characterized in that a signal obtained by multiplying by is used as a feedback signal for each integrator.
JP04222495A 1995-03-02 1995-03-02 Distributed feedback ΔΣ modulator Expired - Fee Related JP3303585B2 (en)

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KR100764775B1 (en) * 2006-03-22 2007-10-11 엘지전자 주식회사 Delta sigma modulator
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Cited By (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
KR100503687B1 (en) * 1996-11-27 2005-10-28 소니 유나이티드 킹덤 리미티드 Signal processor
KR100764775B1 (en) * 2006-03-22 2007-10-11 엘지전자 주식회사 Delta sigma modulator
CN107925389A (en) * 2015-08-24 2018-04-17 雅马哈株式会社 Signal processing apparatus and speaker unit
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CN107925389B (en) * 2015-08-24 2021-08-06 雅马哈株式会社 Signal processing device, speaker device, and signal processing method
WO2020005223A1 (en) * 2018-06-27 2020-01-02 Massachusetts Institute Of Technology Spectrally efficient digital logic
US10673417B2 (en) 2018-06-27 2020-06-02 Massachusetts Institute Of Technology Spectrally efficient digital logic
US10944415B2 (en) 2018-06-27 2021-03-09 Massachusetts Institute Of Technology Spectrally efficient digital logic (SEDL) analog to digital converter (ADC)
US11201627B2 (en) 2018-06-27 2021-12-14 Massachusetts Institute Of Technology Spectrally efficient digital logic (SEDL) digital to analog converter (DAC)

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