TWI223499B - Nested chopper delta-sigma modulator - Google Patents
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發明所屬之技術領域: b本發明是有關於斬波電路(ch〇pper circuitry),特 別疋一種能減少因斬波開關輸入端之間的不匹配而產生的 剩餘雜訊(residual noise)的斬波電路。 先前技術:The technical field to which the invention belongs: b The present invention relates to chopper circuits, in particular a chop that can reduce residual noise caused by the mismatch between the input terminals of the chop switch. Wave circuit. Prior technology:
在類比數位轉換器的應用上,三角積分調變器 Uelta-sigma modulator)的準確性及可行性使得它在許 多的電路應用上受到歡迎,例如聲頻編碼電路(aud i 〇 codec circuits)、通訊電路(communication circuits)、感應器電路(sens〇r circuits)以及測試設備 電路(instrumentation circuits)。而三角積分調變器 (del ta-sigma modulator)的工作效能則和因開關、運算 放大器以及數位電路所產生的輸入雜訊有關。此雜訊會降 低輸入信號的動態範圍。In the application of analog digital converters, the accuracy and feasibility of the delta-sigma modulator makes it popular in many circuit applications, such as audio code circuits (aud i 0 codec circuits), communication circuits (Communication circuits), sensor circuits (sensor circuits), and test equipment circuits (instrumentation circuits). The performance of delta-sigma modulators is related to the input noise generated by switches, operational amplifiers, and digital circuits. This noise reduces the dynamic range of the input signal.
在低頻帶中,閃爍雜訊的增加是和頻率的減少成正比 的’而在相對的低頻帶中則是由補償值(offset)來主導雜 訊’特別是在系統工作效能被限制的感應器電路電路介面 裡。在習知技術中’相關雙取樣(c 〇 r r e 1 a t e d d 〇 u b 1 e sampling)、自我校正運算放大器(self — calibrating operational ampl if iers)以及斬波穩定技術 (chopper-stabi lized techniques)均用來處理這類的雜 訊。這些技巧被規類成自動歸零(autozeroing)以及斬波 (chopping)兩大類,並可用於放大器及積分器。 在Υ·Η· Chang,T.C. Wu以及C.Y. Wu所著的文章In the low frequency band, the increase of flicker noise is proportional to the decrease of the frequency ', while in the relatively low frequency band, the offset is dominated by the offset value', especially in the sensor whose operating efficiency is limited Circuit in the circuit interface. In the conventional technique, 'correlation 1 atedd ub 1 e sampling', self-calibrating operational ampl if iers, and chopper-stabi lized techniques are used to Handle this kind of noise. These techniques are classified into two categories: autozeroing and chopping, and can be used in amplifiers and integrators. Articles by Υ · Η · Chang, T.C. Wu and C.Y. Wu
1223499 五、發明說明(2) ’丨 Chopper - stabi 1 i zed sigma - delta modulator,丨丨 IEEE ISCAS, ρρ· 1 28 6- 1 289, May 1 9 93中提到斬波三角積分調 變器(delta-sigma modulator)加上傳統的運算放大器能 夠對低頻雜訊具有更好的免疫力,可是斬波同時也因開關 之間的電何注入不匹配而產生了剩餘雜訊(e s i d u a 1 noi se)。開關的ON及OFF也對三角積分調變器 (delta-sigma modulator)的輸入端產生了脈衝。這些高 頻開關訊號會隨著輸入信號進入調變器而降低了系統的 SNDR及解析力。 另一個方法則是由A· Bakker、K· Thiele及J. H.1223499 V. Description of the invention (2) '丨 Chopper-stabi 1 i zed sigma-delta modulator, 丨 IEEE ISCAS, ρρ · 1 28 6- 1 289, May 1 9 93 The chopped triangle integral modulator is mentioned ( delta-sigma modulator) plus traditional operational amplifiers can have better immunity to low-frequency noise, but the chopping also generates residual noise due to the mismatch of electrical injection between the switches (esidua 1 noi se) . The ON and OFF of the switch also pulses the input of the delta-sigma modulator. These high-frequency switching signals will reduce the SNDR and resolution of the system as the input signal enters the modulator. Another method is by A. Bakker, K. Thiele, and J.H.
Huij sing 在’’A CMOS nested - chopper instrumentation amplifier with 100-nV offset,1 丨 IEEE J.Solid-State Circuits,vol· 35· 12,pp· 1 877 -1 883,Dec· 2 000 這 篇文章所提出。它提到一個巢狀斬波放大器 (nested-chopper ampl i f ier)會降低剩餘雜訊(res i dual noise),如果使用在三角積分調變器(delta_sigma modulator)上則會消除OP AMP的補償值(〇f f set)及相關的 低頻雜訊。但是,前端的調變器仍然會受到取樣開關之間 的不匹配所產生的高頻雜訊所影響。 另一種方法由 C.B. Wang 在,,A 20 bit 25kHz delta-sigma A/D converter utilizing frequency-shaped chopper stabilization scheme,M IEEE custom integrated circuits conference, pp. 9-12, 2 0 00這篇文章所提出,頻組斬波穩定三角積分類比Huij sing in `` A CMOS nested-chopper instrumentation amplifier with 100-nV offset, 1 丨 IEEE J. Solid-State Circuits, vol · 35 · 12, pp · 1 877 -1 883, Dec · 2 000 put forward. It mentions that a nested-chopper ampl if ier will reduce the residual noise (res i dual noise). If it is used on a delta_sigma modulator, it will eliminate the OP AMP compensation value. (〇ff set) and related low-frequency noise. However, the front-end modulator is still affected by the high-frequency noise caused by the mismatch between the sampling switches. Another method is proposed by CB Wang in, A 20 bit 25kHz delta-sigma A / D converter utilizing frequency-shaped chopper stabilization scheme, M IEEE custom integrated circuits conference, pp. 9-12, 2000. Frequency Group Chopped Stable Delta Integral Analogy
0389-9168TWF(Nl);P910009TW;EDWARD.ptd 第7頁 1223499 五、發明說明(3) 數位轉換器( frequency-shaped chopper stabilized delta - sigma A/D converter)可用來去除時鐘脈衝雜訊 (clock spike noise)。斬波時鐘(chopper clock)由輸入 偽隨機時鐘(pseudo-random clock)至一個數位濾波器所 產生’ 5亥數位渡波在D C以及半取樣頻率(h a 1 f s a m p 1 i n g frequency)有兩個零。並且時鐘雜訊並不會在指定頻帶出 現0 取樣自輸入開關的自動歸零(a u t 〇 z e r 〇 i n g)方法中的 高頻雜訊會被折返至指定頻帶内;同樣地,斬波技術的優0389-9168TWF (Nl); P910009TW; EDWARD.ptd Page 7 1223499 V. Description of the invention (3) Digital converter (frequency-shaped chopper stabilized delta-sigma A / D converter) can be used to remove clock spikes (clock spikes) noise). The chopper clock is generated by inputting a pseudo-random clock to a digital filter. The ‘50 Hz digital crossing has two zeros at DC and the half-sampling frequency (h a 1 f s a m p 1 i n g frequency). And the clock noise does not appear in the specified frequency band. The high-frequency noise in the automatic zeroing (a u t 〇 z e r 〇 n g) method of sampling from the input switch will be returned to the specified frequency band. Similarly, the advantages of the chopping technology
點便在於其在二角積分調變器(delta - sigma modulator) 的應用上有比自動歸零(311^;〇261'0丨118)方法更低的雜訊。 因此,在未來,我們將需要一種可以有效地降低在執 行輸入訊號的類比數位轉換時所產生的雜訊的電路或方 法。 發明内容: 本發明為解決以上問題而提出使用巢狀斬波三角積分 調變器(delta-sigma modulator)作為解決辦法,因斬波 開關輸入端之間的不匹配所產生的剩餘雜訊(residual no 1 se)可使用封閉電路來降低。而本發明可應用於許多方 面,如製程、系統或裝置。幾種具體性的應用將揭示如 下。 •首先我們需要一個巢狀斬波電路(nested chopper ci rcui t),其中包含了 一個與輸入端耦合並且被一對非重 疊的時鐘(non-over lapping)所控制的第一斬波部分。一The point is that in the application of the delta-sigma modulator, the noise is lower than that of the auto-zero (311 ^; 〇261'0 丨 118) method. Therefore, in the future, we will need a circuit or method that can effectively reduce the noise generated when performing analog-to-digital conversion of an input signal. Summary of the Invention: In order to solve the above problems, the present invention proposes to use a nested chopper delta-sigma modulator as a solution. The residual noise caused by the mismatch between the input terminals of the chopper switch (residual no 1 se) can be reduced using closed circuits. The present invention can be applied to many aspects, such as a process, a system, or a device. Several specific applications will be revealed below. • First we need a nested chopper circuit, which contains a first chopper section coupled to the input and controlled by a pair of non-overlapping clocks. One
1223499 五、發明說明(4) 第一斬波部分與第一斬波部分搞合,而第一斬波部分的輸 出端與第二斬波部分的輸入端相連接,其中第二斬波部分 由一對非重疊並且互相呈周期性反相的時鐘所控制。這對 時鐘由數個斬波時鐘所組成。 巢狀斬波電路(nested chopper circuit)與三角積分 凋變器(delta - sigma modulator)電路耦合,而其中周期 目的時鐘則對正及負輸入訊號取樣之後再將此取樣提 及φΛΓΛ波部分的輸人端。—對非重疊的時鐘是由ΦΑ 此斬波時且nW對斬波時鐘則^Φ11*Φ12所組成。 SHU . / 時里一起運作時有下列邏輯: S1&S4 . φΑ · Φ11+ φβ ·㈣ 、铒 Β · φΐι。 S2&S3 · φA · φ 1 2+ Φ 第一斬波部分有兩個被第一士 開關和兩個被第二非重最 $重童呀鉍所控制的外部 斬波部分則有被一對斬二所控制的内部開關,而第二 一非重疊時鐘與第二非:=所控制的4個開關,其中第 本發明提供了 一種可以=周期性的反相。 方法。當輸入端有信號時,一 比輸入信號以供取樣的 鐘會進入第一斬波部分另一對呈周期性反相的非重疊時 進入第二斬波部分。其中,非呈^期性反相的斬波時鐘會 鐘所組成。輸入訊號在第一重f時鐘是由無數個斬波時 執行,並且在輸入訊號的正向波部分及第二斬波部分中被 為讓本發明之上述曰从°及反向週期上進行取樣。 和優點能更明顯易 义日的、特徵 1 0389-9168TWF(Ν1);Ρ910009TW;EDWARD.p t d $ 9頁 麵 12234991223499 V. Description of the invention (4) The first chopping part is combined with the first chopping part, and the output of the first chopping part is connected to the input of the second chopping part, where the second chopping part is Controlled by a pair of non-overlapping clocks that are periodically opposite to each other. The pair of clocks consists of several chopper clocks. A nested chopper circuit is coupled to a delta-sigma modulator circuit, and the periodic destination clock samples the positive and negative input signals and then refers this sampling to the output of the φΛΓΛ wave part. Human side. -For non-overlapping clocks, it is composed of ΦΑ at this chopping time and nW for chopping clock ^ Φ11 * Φ12. When SHU. / Shili operates together, the following logic is available: S1 & S4. ΦΑ · Φ11 + φβ · ㈣, 铒 Β · φΐι. S2 & S3 · φA · φ 1 2+ Φ The first chopper part has two external chopper parts controlled by the first driver switch and the two non-heavy and heavy second-child bismuth parts. The second switch controls the internal switches, and the second non-overlapping clock and the second NOT: = 4 switches controlled. The first aspect of the present invention provides a periodicity that can be inverted. method. When there is a signal at the input, a clock that is larger than the input signal for sampling enters the first chopping section and the other pair of non-overlapping, which is periodically inverted, enters the second chopping section. Among them, the non-phase-inverted chopper clock is composed of clocks. The input signal is executed when the first heavy f clock is counted by an infinite number of choppers, and is sampled in the forward wave portion and the second chopper portion of the input signal so that the above-mentioned samples of the present invention are sampled from degrees and reverse periods. . And advantages can be more obvious Yiyi's characteristics, 1 0389-9168TWF (N1); P910009TW; EDWARD.p t d $ 9 pages 1223499
佳實 施例,並配合所附圖示 作詳細 懂,下文特舉若干較 說明如下: 實施方式: 如第1圖所干夕组 斬波週期所組成的/舌狀m100 ’其擁有被兩個由數個 B。而斬波100,(如^疊時鐘㈣及㈣所控制的開關4及 制。巢狀斬波器100 ;人及4所不)是由時鐘011及Φ12所控 部分1〇4。上述了一個與輸入端搞合的第一斬波 A及ΦΒ所所控制而第皮部广°4則由-對非重疊的時鐘① 分104。第一滅、、* a第一斬波部分1〇2耦合於第一斬波部 輸入端相接,並/第分1〇斬4 ^輸出端與第二斬波部分102的 控制。苴中一射ίϊ;· 部分由斬波時鐘Φ11&Φ12所 所组成i JL 的時鐘ΦΑ及Φ是由數個斬波時鐘 所組成並且互相成週期性的反相。 相關的脈衝如第2 A m ^ ^ ^ ,丨、rr偷4筮9 R闽 圖所不,而被另一斬波解調之後的The preferred embodiment is described in detail in conjunction with the accompanying drawings. Here are some specific explanations as follows: Implementation: As shown in Figure 1, the chopping cycle of the Qianxi group / tongue-shaped m100 'is owned by two Several B's. The chopper 100 (such as the switch 4 and the system controlled by the stacked clocks ㈣ and 。. The nested chopper 100; the person and the 4 are not controlled) is controlled by the clock 011 and Φ12 part 104. The above is controlled by the first chopper A and ΦB which is matched with the input terminal, and the first skin is wide. 4 is divided by-pair of non-overlapping clocks. The first extinguishing, * a first chopping section 102 is coupled to the input terminal of the first chopping section, and the output terminal is controlled by the second chopping section 102.苴 中 一 射 ίϊ; · i JL's clocks ΦA and Φ, which are composed of chopped clocks Φ11 & Φ12, are composed of several chopped clocks and are periodically opposite to each other. The relevant pulses are as shown in the second A m ^ ^ ^, and rr steals 4 筮 9 R min map, but is demodulated by another chopping wave.
大脈衝如第2 B圖所示〇 a羽AJ 的巢狀斬波因為輸入作中,-個擁有傳統時鐘 料哭、夕乂恭斗^ t ^ 雙頻率位移會在該信號進人調 ^σσ ^ x …、法直接接到調變器的前端。因此,建立 在以斬波穩定技術的巢狀斬波器100被 積分調變器uelta-slgffla modulat〇r)上。了用於一角 首先,輸入信號被先前斬波調變至高頻帶。然後 Ύ至1頻雜訊的三角積分調變器(del ta-si gma modulator),以及用下列的斬波電路來解調此一信號。 了克服因先刖斬波而產生的_ ^ . 在此使用了如約圖所示之巢=雜二(TldUal,Se)而 心果狀斬波二角積分調變器The large pulse is shown in Figure 2B. Oa feather AJ's nested chopping because the input is in the middle, a traditional clock is crying, and the night is fighting ^ t ^ The double frequency shift will adjust the signal ^ σσ ^ x…, method is directly connected to the front of the modulator. Therefore, the nested chopper 100 based on chopper stabilization technology is based on the integral modulator (uelta-slgffla modulator). Used for a corner First, the input signal is modulated to the high frequency band by the previous chopping. Then, a delta-sigma modulator with 1-band noise is demodulated, and the following chopper circuit is used to demodulate this signal. In order to overcome the _ ^ generated by the chopped chopped wave, a nest-like chopped dihedral integral modulator as shown in the figure is used.
1223499 五、發明說明(6) (nested chopper delta-sigma modulator)。因斬波開關 而產生的雜訊尖脈衝(noise spike)被反轉成一種可調諧 的的週期’所以平均剩餘雜訊(a v e r a g e r e s i d u a 1 n 〇 i s e ) 被減少或消除而使得調變器的SNR有所改善。 如第2A圖所示之時間圖,正向及逆向信號交互地輸入 至调變器。因此,當φ A在〇 N時,s 1及s 4的控制信號是① 11,而s2及s3的控制信號是Φ12。關於開關的狀態請參考 第2C及2D圖。1223499 V. Description of the invention (6) (nested chopper delta-sigma modulator). The noise spike generated by the chopper switch is reversed to a tunable period, so the average residual noise (averageresidua 1 n 〇ise) is reduced or eliminated, so that the modulator SNR has Improved. As shown in Figure 2A, the forward and reverse signals are alternately input to the modulator. Therefore, when φ A is 0 N, the control signals of s 1 and s 4 are ① 11 and the control signals of s 2 and s 3 are Φ 12. Please refer to Figures 2C and 2D for the status of the switches.
為了維持斬波穩定調變器(chopper-stabilized modulator)的運作,巢狀斬波器的時鐘根據本發明做了更 改。在第1圖的104中,當ΦΑ在ON時,巢狀斬波器丨00的作 用便與一個單一斬波電路相同。如第2C圖所示,在1〇2a 中,si及s4在相角是Φ1 1時為0N ;在1021)中,s2及33在相 角是Φ12時為ON。如第2D圖所示,在i〇4b中,ΦΒ是ON。 為了維持正向及逆向信號交互地輸入至調變器,l〇2b中的 s2及s3在相角是Φ11時為ON,而l〇2a中的si及s 4在相角是 Φ12時為ON。因此,si、s2、s3、s4的控制邏輯為: S1&S4 : ΦΑ · Φ11+ ΦΒ · Φ12 S2&S3 : ΦΑ · Φ12+ ΦΒ · φ 11To maintain the operation of the chopper-stabilized modulator, the clock of the nested chopper is changed according to the present invention. In 104 of Fig. 1, when ΦA is ON, the function of the nested chopper 00 is the same as that of a single chopper circuit. As shown in FIG. 2C, in 10a, si and s4 are 0N when the phase angle is Φ1 1; in 1021), s2 and 33 are ON when the phase angle is Φ12. As shown in FIG. 2D, in 〇4b, ΦΒ is ON. In order to maintain the forward and reverse signals to be input to the modulator alternately, s2 and s3 in 102b are ON when the phase angle is Φ11, and si and s4 in 102a are ON when the phase angle is Φ12. . Therefore, the control logic of si, s2, s3, and s4 is: S1 & S4: ΦΑ · Φ11 + ΦΒ · Φ12 S2 & S3: ΦΑ · Φ12 + ΦΒ · φ11
所以巢狀斬波三角積分調變器(nested chopper del ta-sigma modulator )能夠減少剩餘雜訊(residuai no i se)並擁有較低的低頻雜訊。因為巢狀斬波三角積分調 變器(nested chopper delta-sigma modulator)的構造以 及操作上的簡單化而使得任何熟習此項技藝者可將它運用Therefore, nested chopper del ta-sigma modulator can reduce residual noise (residuai no i se) and has lower low-frequency noise. Nested chopper delta-sigma modulator's structure and simple operation allow anyone skilled in the art to use it
0389-9168TWF(Nl);P910009TW;EDWARD.ptd0389-9168TWF (Nl); P910009TW; EDWARD.ptd
1223499 五、發明說明(7) 在CMOS積體電路上。 第3圖顯示了一個具有熱雜訊(thermai noise)以及運 算放大器雜訊的二次微分巢狀斬波三角積分調變器 (delta-sigma modulator)的方塊圖。圖示之熱雜訊11〇為 第一谐振器以及運算放大器的非線性輸出端的熱雜訊以及 運异放大器雜訊,而巢狀斬波器1〇〇則在DSM(delta_sigma modulator)的第一運算放大器之前。在第4圖中,巢狀斬 波器1 0 0移到運算放大器的輸出端,而上述開關可因運算 放大器的虛地輸入端而簡化至單一 NM〇s開關。然而,迴授 應該包含了可以更正迴授正負向的類斬波邏輯。 第5圖表示一個輸入信號為-6dB,578125kHz、取樣 頻率為2·56ΜΗζ以及最高值〇·5 //V的斬波尖脈衝的dB對Hz 圖。本圖有三種範例。首先,圖示最上面為習知技術之一 個有剩餘雜訊(residua 1 noise)的斬波穩定DSM。其次, 圖不中間為本發明之一個有剩餘雜訊(residual n〇ise)的 巢狀斬波DSM。最後,圖示最下面為一個沒有剩餘雜訊 (residual noise)的完美斬波穩定DSM。如圖所示,第二 範例的剩餘雜訊(residual n〇ise)在較低頻帶中比第一範 例要低。因此,本發明能有效壓抑不需要的輸入合成雜 訊。第6圖為SNDR vs·輸入振幅圖,其中本發明的巢狀斬 波DSM的尖峰SNDR在22,0 5khz頻寬為6 9 9dB而在8 khz頻寬 為86· 3dB。 本發明也適用於各種與電腦相關並且需要物質數量上 巧妙使用的操作’如資料儲存於電腦。通常這些數量經由1223499 V. Description of the invention (7) On CMOS integrated circuit. Figure 3 shows a block diagram of a secondary differential nested chopping delta-sigma modulator with thermal noise and operational amplifier noise. The thermal noise 11 shown in the figure is the thermal noise of the first resonator and the non-linear output of the operational amplifier and the noise of the operation amplifier, and the nested chopper 100 is the first in the DSM (delta_sigma modulator). Before op amp. In Figure 4, the nested chopper 100 is moved to the output of the operational amplifier, and the switch can be simplified to a single NMOS switch due to the virtual ground input of the operational amplifier. However, feedback should include chopper-like logic that can correct positive and negative feedback. Figure 5 shows the dB vs. Hz plot of a chopping tip pulse with an input signal of -6dB, 578125kHz, a sampling frequency of 2.56MHz, and a maximum value of 0.55 // V. There are three examples in this figure. First, the top of the figure is one of the conventional techniques, a chopped stable DSM with residual noise (residua 1 noise). Second, the middle of the figure is a nested chopped DSM with residual noise of the present invention. Finally, the bottom of the figure is a perfect chopper-stabilized DSM with no residual noise. As shown, the residual noise of the second example is lower than that of the first example in the lower frequency band. Therefore, the present invention can effectively suppress unwanted input synthesis noise. Fig. 6 is a graph of SNDR vs. input amplitude, in which the peak SNDR of the nested chopped DSM of the present invention is 69.9 dB at 22,05 kHz and 86.3 dB at 8 kHz. The present invention is also applicable to various computer-related operations that require clever use of substances, such as data stored in a computer. Usually these quantities pass
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苐1圖表示本發明之巢狀斬波三角積分調變哭、 (delta-sigma modulator)的電路圖 。 第2 (A )圖表示一對非重疊時鐘與斬波時鐘的 圖。 雙邗相對 苐2 (B )圖表示被另一斬波戶斤解調之後的脈衝。 第2(C)及2(D)圖表示在一對非重疊時鐘與斬波時鐘下 運作的開關。 第3圖表示一個有熱雜訊以及運算放大器的二次微分 的巢狀斬波三角積分調變器(delta - sigma modulator)的 示範圖。 第4圖表示另一個有熱雜訊以及運算放大器的二次微 分的巢狀斬波三角積分調變器(delta- sigma modulator) 的示範圖。 第5圖表示一個輸入信號為—6 dB, 5.78125k Hz、取樣 頻率為2·56ΜΗζ以及最高值0.5//V的斬波尖脈衝的dB對Hz 圖。 第6圖表示SNDR對輸入振幅圖。 符號說明: Φ 11〜相角1 1 Φ 1 2〜相角12 Φ A〜相角A Φ B〜相角B S1〜開關1 S2〜開關2Figure 1 shows the circuit diagram of the delta-sigma modulator of the nested chopper triangle integral modulation of the present invention. Figure 2 (A) shows a pair of non-overlapping clocks and a chopper clock. The double chirped 苐 2 (B) diagram shows the pulses after being demodulated by another chopper. Figures 2 (C) and 2 (D) show switches operating on a pair of non-overlapping clocks and chopper clocks. Figure 3 shows an example of a nested chopper delta-sigma modulator with thermal noise and the second derivative of the operational amplifier. Figure 4 shows another example of a nested chopper delta-sigma modulator with thermal noise and secondary differentiation of the operational amplifier. Figure 5 shows the dB vs. Hz plot of a chopping tip pulse with an input signal of -6 dB, 5.78125k Hz, a sampling frequency of 2.56MHz, and a maximum value of 0.5 // V. Figure 6 shows the SNDR vs. input amplitude map. Explanation of symbols: Φ 11 ~ phase angle 1 1 Φ 1 2 ~ phase angle 12 Φ A ~ phase angle A Φ B ~ phase angle B S1 ~ switch 1 S2 ~ switch 2
0389-9168TWF(N1);P910009TW;EDWARD.p td 第14頁 1223499 圖式簡單說明 S3〜開關3 S4〜開關4 ΙΗΪ 0389-9168TWF(Ν1);Ρ910009TW;EDWARD.ptd 第15頁0389-9168TWF (N1); P910009TW; EDWARD.p td Page 14 1223499 Simple illustration of the diagram S3 ~ Switch 3 S4 ~ Switch 4 ΙΗΪ 0389-9168TWF (N1); P910009TW; EDWARD.ptd Page 15
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JP7074446B2 (en) * | 2017-09-28 | 2022-05-24 | エイブリック株式会社 | Delta-sigma modulator |
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