<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">CS</journal-id><journal-title-group><journal-title>Circuits and Systems</journal-title></journal-title-group><issn pub-type="epub">2153-1285</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/cs.2012.32025</article-id><article-id pub-id-type="publisher-id">CS-18553</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Computer Science&amp;Communications</subject><subject> Engineering</subject><subject> Physics&amp;Mathematics</subject></subj-group></article-categories><title-group><article-title>
 
 
  An Enhanced Bulk-Driven Folded-Cascode Amplifier in 0.18 &#181;m CMOS Technology
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>rash</surname><given-names>Ahmadpour</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Pooya</surname><given-names>Torkzadeh</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Department of Electronic Engineering, Islamic Azad University, Lahijan Branch, Lahijan, Iran</addr-line></aff><aff id="aff2"><addr-line>Department of Electronic Engineering, Islamic Azad University, Science and Research Branch, Tehran, Iran</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>ar.amp@liau.ac.ir(RA)</email>;<email>torkzadeh_oloom@yahoo.com(PT)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>19</day><month>04</month><year>2012</year></pub-date><volume>03</volume><issue>02</issue><fpage>187</fpage><lpage>191</lpage><history><date date-type="received"><day>March</day>	<month>4,</month>	<year>2012</year></date><date date-type="rev-recd"><day>April</day>	<month>3,</month>	<year>2012</year>	</date><date date-type="accepted"><day>April</day>	<month>10,</month>	<year>2012</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  A new configuration of Bulk-Driven Folded-Cascode (BDFC) amplifier is presented in this paper. Due to this modifying, significant improvement in differential DC-Gain (more than 11 dB) is achieved in compare to the conventional structure. Settling behavior of proposed amplifier is also improved and accuracy more than 8 bit for 500 mV voltage swing is obtained. Simulation results using HSPICE Environment are included which validate the theoretical analysis. The amplifier is designed using standard 0.18 μm CMOS triple-well (level 49) process with supply voltage of 1.2 V. The correct functionality of this configuration is verified from –50℃ to 100℃.
 
</p></abstract><kwd-group><kwd>Bulk-Driven Folded-Cascode (BDFC) Amplifier; DC-Gain; Bulk-Driven (BD); Folded-Cascode (FC); CMOS</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Design of high-performance integrated circuits is becoming increasingly challenging with the persistent trend toward reduced supply voltages, especially in analog part. This requires traditional analog circuit solutions to be replaced by new approaches to get the best performance and more flexible mixed-mode structure strategies that are compatible with future standard CMOS technology trends. This combination of the analog and digital parts should be done in an optimal way and the optimization process is application dependent [1-4]. The main bottleneck in analog circuits is the operational amplifier. Meanwhile, fully differential amplifiers have better performance compared to the single ended amplifiers. The single-stage amplifiers are inherently less prone to instability; most applications use the amplifier in a closedloop feedback configuration which can result in instability. This possible instability is likely to manifest under high frequency operation. However, single-stage amplifiers suffer of lower voltage gain compare to the multistage amplifiers, especially in low-voltage applications and future deep sub-micron technologies. However multistage amplifiers introduce more low frequency poles and available compensation techniques limit the amplifier’s speed; nevertheless, they consume much more power. On the other hand, achieving high gain/swing performance is hardly possible for single-stage amplifiers [<xref ref-type="bibr" rid="scirp.18553-ref5">5</xref>].</p><p>Fully differential folded-cascode (FC) amplifier is being used in many low-voltage and high bandwidth applications and does not suffer from “mirror pole” limitations. This structure is utilized in many cases and exhibits a superior performance because of its special features like potentially high gain, single parasitic pole, wide bandwidth, acceptable limitation of the common mode (CM) voltage range [5-8]. Besides, bulk-driven (BD) amplifiers or complex gain enhancement techniques are other techniques that have been already introduced to boost the voltage gain of amplifiers. Recently, a number of techniques for increase in the gain of BD amplifiers have been reported [9-11]; but for a sufficient gain, most of them utilize multi-stage or gain-boosting structures. This paper presents the design of a modified structure of single-stage BDFC amplifier that has significant performance in comparison with the conventional BDFC amplifier. It is shown that the proposed amplifier has higher DC-Gain, without degrading of the frequency and transient responses, due to the action of the new merge circuit topology. The proposed structure is done in 0.18 &#181;m triple-well CMOS process for switched-capacitor applications. The design procedures of this paper are organized as follows. Section 2 analyses the small signal of conventional and proposed BDFC amplifiers and introduce the bias and common-mode feedback (CMFB) structures. Section 3 presents the simulation results. Finally the conclusion is given in Section 4.</p></sec><sec id="s2"><title>2. Bulk-Driven Amplifier Circuits</title><sec id="s2_1"><title>2.1. Conventional Bulk-Driven Folded-Cascode Amplifier</title><p>A typical PMOS BDFC amplifier in differential mode capable of operating with low supply voltage is depicted in <xref ref-type="fig" rid="fig1">Figure 1</xref>. Because of high performance and wide applications, the detailed analysis of this structure has been explained in [5,6]. NMOS and PMOS transistors ac currents are derived by:</p><disp-formula id="scirp.18553-formula21183"><label>(1)</label><graphic position="anchor" xlink:href="10-7600157\9f0949ed-d6a8-497a-bd55-971f22c57c99.jpg"  xlink:type="simple"/></disp-formula><disp-formula id="scirp.18553-formula21184"><label>(2)</label><graphic position="anchor" xlink:href="10-7600157\7d0b0bea-57fe-4427-b786-dd0adc1376a3.jpg"  xlink:type="simple"/></disp-formula><p>where g<sub>m</sub>, g<sub>mb</sub>, and g<sub>ds</sub> are gate transconductance, bulk transconductance, and output conductance, respectively. By using Equations (1) and (2) and considering <img src="10-7600157\a94be8d8-f598-4d0f-82e0-7174875bde75.jpg" /> and<img src="10-7600157\787f6ab0-fd81-4f7c-87a2-315843d92331.jpg" />, the differential DC-Gain of corresponding amplifier is calculated by:</p><disp-formula id="scirp.18553-formula21185"><label>(3)</label><graphic position="anchor" xlink:href="10-7600157\03b364c2-8e91-4df9-8727-388819215803.jpg"  xlink:type="simple"/></disp-formula><disp-formula id="scirp.18553-formula21186"><label>(4)</label><graphic position="anchor" xlink:href="10-7600157\3397b38b-8234-4341-9102-baa592539e14.jpg"  xlink:type="simple"/></disp-formula><p>By applying good approximations, the differential DCGain of this amplifier is calculated as:</p><disp-formula id="scirp.18553-formula21187"><label>(5)</label><graphic position="anchor" xlink:href="10-7600157\6d90628a-31fe-4286-9781-2a2385b92414.jpg"  xlink:type="simple"/></disp-formula><p>In a typical 0.18 &#181;m CMOS process, a voltage gain about of 39 dB and unity gain bandwidth (UGBW) of approximately 14.5 MHz with phase margin of 89.7˚ for a capacitive load of 1pF is achievable (bias current of branches is 40 &#181;A). To increase the DC-Gain of conventional FC amplifier, a new technique is proposed in Section B.</p></sec><sec id="s2_2"><title>2.2. Proposed Structure</title><p>The To achieve high DC-Gain in amplifier, the bulk terminals of transistors M<sub>5</sub> to M<sub>8</sub> is used in new configuretion, which NMOS and PMOS devices are in opposite phases. These transistors are auxiliary transistors which increases the output resistance, so DC-Gain will boost. <xref ref-type="fig" rid="fig2">Figure 2</xref> shows the proposed amplifier without bias and CMFB circuits. Using Kirchhoff’s Current Law at the node<img src="10-7600157\9965fed2-86c3-49be-98e0-869e39e0fae9.jpg" />, the KCL Equation becomes:</p><disp-formula id="scirp.18553-formula21188"><label>(6)</label><graphic position="anchor" xlink:href="10-7600157\2a9840bb-0812-4d3d-ba74-eeb9f1fc6d47.jpg"  xlink:type="simple"/></disp-formula><p>therefore, using Equations (1) and (2), result in:</p><disp-formula id="scirp.18553-formula21189"><label>(7)</label><graphic position="anchor" xlink:href="10-7600157\ac9f785e-8e11-4622-a1ee-daebd78972a5.jpg"  xlink:type="simple"/></disp-formula><p>considering <img src="10-7600157\0c225569-3658-4b22-b9e8-9bb4ae4835df.jpg" /> and<img src="10-7600157\f0884495-c196-4e12-9e16-65ade1592242.jpg" />, and also using Equations (1) and (2), result in:</p><disp-formula id="scirp.18553-formula21190"><label>(8)</label><graphic position="anchor" xlink:href="10-7600157\316b5d46-9b76-4570-8be5-43fa095147e6.jpg"  xlink:type="simple"/></disp-formula><disp-formula id="scirp.18553-formula21191"><label>(9)</label><graphic position="anchor" xlink:href="10-7600157\d13b2ca4-eb81-4040-9d6e-78d944bcf95d.jpg"  xlink:type="simple"/></disp-formula><disp-formula id="scirp.18553-formula21192"><label>(10)</label><graphic position="anchor" xlink:href="10-7600157\7c550a48-eaa7-479c-b90a-8ba8f2a1dbd0.jpg"  xlink:type="simple"/></disp-formula><p>using (8) to (10), Equations are obtained as follows:</p><disp-formula id="scirp.18553-formula21193"><label>(11)</label><graphic position="anchor" xlink:href="10-7600157\2c7b120e-ba77-486d-8e45-dc759bc38eb0.jpg"  xlink:type="simple"/></disp-formula><disp-formula id="scirp.18553-formula21194"><label>(12)</label><graphic position="anchor" xlink:href="10-7600157\a816ace0-02fa-4dbc-82ed-136631cea6da.jpg"  xlink:type="simple"/></disp-formula><disp-formula id="scirp.18553-formula21195"><label>(13)</label><graphic position="anchor" xlink:href="10-7600157\6dad466d-aec7-423e-9487-1601ba39c797.jpg"  xlink:type="simple"/></disp-formula><p>substituting (11) to (13) into (7) results in:</p><disp-formula id="scirp.18553-formula21196"><label>(14)</label><graphic position="anchor" xlink:href="10-7600157\e93fe32c-a00a-4a8a-afb5-65b918d9e6cd.jpg"  xlink:type="simple"/></disp-formula><disp-formula id="scirp.18553-formula21197"><label>(15)</label><graphic position="anchor" xlink:href="10-7600157\180876ec-c293-4221-b08d-168e7c275f90.jpg"  xlink:type="simple"/></disp-formula><p>where <img src="10-7600157\b0736dd7-a10c-41bb-b3cf-9567a1ec2455.jpg" /> and <img src="10-7600157\1d248b6b-1068-40ab-955b-757159f6088d.jpg" /> is</p><disp-formula id="scirp.18553-formula21198"><label>(16)</label><graphic position="anchor" xlink:href="10-7600157\f3a0c4fc-6d9b-4b7d-b3ed-d6620657f59f.jpg"  xlink:type="simple"/></disp-formula><p>rewriting (14), so</p><disp-formula id="scirp.18553-formula21199"><label>(17)</label><graphic position="anchor" xlink:href="10-7600157\90004d0e-c3ec-4354-b498-30d77d2e7eed.jpg"  xlink:type="simple"/></disp-formula><p>It is clear that with increasing the <img src="10-7600157\9bb6a547-73ae-4461-9938-ec5e4657756b.jpg" /> and<img src="10-7600157\fa70082b-1946-4e17-814a-929ad724a3d5.jpg" />, the output resistance will be boosted. A significant enhancement in the total value of <img src="10-7600157\c9e01f05-6932-42fd-94e6-93594e61b6b6.jpg" /> is obtained conesquently. Indeed <img src="10-7600157\c87b5670-f40f-4e02-8d88-bc7999d55ea7.jpg" /> will be controlled by choosing appropriate biases and sizes of M<sub>5</sub> to M<sub>8</sub>, especially controlling the bulk terminals of <img src="10-7600157\b9899588-75fb-485a-a5eb-96992aa8cfca.jpg" /> and <img src="10-7600157\791fec6b-fa48-4cdb-853a-78f497fe98b1.jpg" /> of these transistors. However, <img src="10-7600157\a114e52b-b212-4596-ac72-1b6ef65ae11b.jpg" />must be greater than 1, because excluding it might take <img src="10-7600157\b9f6c4cb-a23f-4ce8-9353-d9ba6b560838.jpg" /> to zero and decrease the DC-Gain, so before fabrication, the proposed amplifier must be simulated in the corners of fabrication process and wide temperature ranges. In this design procedure, <img src="10-7600157\3010d8ed-10d9-448f-ba7b-9f55bc03e187.jpg" />and <img src="10-7600157\468d0d8a-3d01-4b78-aaba-0e760200a350.jpg" /> are obtained, respecttively. Bias circuit and CMFB block which utilized in the conventional and proposed structures is shown in Figures 3 and 4, respectively.</p></sec></sec><sec id="s3"><title>3. Simulation Results</title><p>In this section, simulation results of the proposed amplifier are shown and are compared with the conventional structure. Amplifiers have been designed in a typical 0.18 &#181;m CMOS process with the same capacitor load and power consumption and then simulated by HSPICE environment using level 49 parameters. A closed-loop configuration with 1 pF capacitors is used to study the linearity and step response of the amplifiers, which is shown in <xref ref-type="fig" rid="fig5">Figure 5</xref>. With the mentioned value of capacitors, closed-loop gain of the amplifiers is approximately 0 dB.</p><p>HSPICE AC simulation results of the proposed and the conventional FC amplifiers are shown in <xref ref-type="fig" rid="fig6">Figure 6</xref>. The UGBW and phase margin of both structures are approximately equal. As demonstrated in <xref ref-type="fig" rid="fig6">Figure 6</xref>, the proposed amplifier achieves a DC-Gain about 50 dB which is 11 dB higher than DC-Gain of the conventional amplifier in the same power supply and process. It is considerable that by choosing a greater amount of both <img src="10-7600157\2ab353f8-6683-4db9-a963-c6fdb226269b.jpg" /> and <img src="10-7600157\e905edfb-7d8b-4bf2-bd3f-d29a55e10892.jpg" /> in Equation (16) higher DC-Gain can be achieved. Total Harmonic Distortion (THD) of both amplifiers for input CM voltage up to 1.2 Vp-p was tested. For 50 KHz and 1.2 Vp-p input frequency, THD of conventional and proposed structures were –37.97 dB and –42.2 dB, respectively. <xref ref-type="fig" rid="fig7">Figure 7</xref> shows THD comparison of proposed and conventional amplifiers in different CM voltage swing. As demonstrated of these tests, the conventional FC amplifier achieves higher linearity in lower</p><p>output voltage amplitudes. However, in higher output voltage amplitudes, both amplifiers have acceptable linearity and eliminate undesirable harmonics. The accuracy of the amplifiers for different input step voltage amplitudes in unity gain configuration was also tested. The result of the step response simulation for 500 mV amplitude is illustrated in <xref ref-type="fig" rid="fig8">Figure 8</xref>, which demonstrate that the accuracy of the proposed amplifier is more than 8 bit for up to 500 mV output voltage swing.</p><p><xref ref-type="fig" rid="fig9">Figure 9</xref> illustrates the effective input transconductance of amplifiers as a function of the input CM voltage. It is obvious that both designs function correctly for rail-torail input CM voltage values with acceptable variations. Finally, the simulated performance of both amplifiers and its comparison with previous structures are summarized in <xref ref-type="table" rid="table1">Table 1</xref>. In order to compare the relative performance of structures, a new figure of merit (FOM) is used as follows:</p></sec></body><back><ref-list><title>References</title><ref id="scirp.18553-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">S. Chatterjee, Y. Tsvidis and P. 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