{"id":317,"date":"2008-11-01T15:08:22","date_gmt":"2008-11-01T20:08:22","guid":{"rendered":"https:\/\/www.circuitdesign.info\/blog\/2008\/11\/the-case-for-the-trans-conducting-lna\/"},"modified":"2020-11-01T11:06:31","modified_gmt":"2020-11-01T17:06:31","slug":"the-case-for-the-trans-conducting-lna","status":"publish","type":"post","link":"https:\/\/www.circuitdesign.info\/blog\/2008\/11\/the-case-for-the-trans-conducting-lna\/","title":{"rendered":"The case for the trans-conducting LNA"},"content":{"rendered":"\n<p>In this post, I will show an evolution of a trans-conducting LNA (rather than a voltage-gain LNA). This is a prime example of current-mode circuit design, which has benefits in terms of linearity\u2014especially for low-voltage scaling in RFCMOS design.<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\">Conventional common-gate LNA<\/h2>\n\n\n\n<p>Consider the conventional common-gate LNA on its own:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"292\" height=\"480\" src=\"https:\/\/www.circuitdesign.info\/blog\/wp-content\/uploads\/2008\/11\/scan0080.jpg\" alt=\"\" class=\"wp-image-311\" srcset=\"https:\/\/www.circuitdesign.info\/blog\/wp-content\/uploads\/2008\/11\/scan0080.jpg 292w, https:\/\/www.circuitdesign.info\/blog\/wp-content\/uploads\/2008\/11\/scan0080-182x300.jpg 182w\" sizes=\"auto, (max-width: 292px) 100vw, 292px\" \/><\/figure>\n\n\n<p>\u00a0<\/p>\n<p>This LNA consists of an input at the source of the MOS transistor (or emitter of a BJT) , a current-source to bias the transistor, and a resistor load. This configuration is typically used in broadband receivers (cable tuners, TV tuners, software-defined radio).<\/p>\n<p>The gain of this stage is A<sub>v<\/sub> = g<sub>m<\/sub>\u00d7R<sub>1<\/sub>. This seems like a reasonable stage to produce a gain and therefore overcome noise.<\/p>\n<p><span style=\"color: #808080;\">Each of these circuits is presented as a single-ended version. However, there is absolutely no reason not to implement them as differential circuits. I merely draw them single-ended here to get the point across without obfuscating the primary ideas. If there is interest in seeing what the differential versions look like, please post a request in the comments section.<\/span><\/p>\n<h2>CMOS LNM employing voltage-mode LNA<\/h2>\n<p>However, consider what happens when we couple this LNA into a CMOS switch-mode mixer:<\/p>\n<p><a href=\"https:\/\/www.circuitdesign.info\/blog\/wp-content\/uploads\/2008\/11\/scan0081.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.circuitdesign.info\/blog\/wp-content\/uploads\/2008\/11\/scan0081-thumb.jpg\" alt=\"scan0081\" width=\"194\" height=\"244\" border=\"0\" \/><\/a> The \u2297 symbol represents a set of commutating MOS mixers, typically capacitively coupled, to separate the dc bias voltages at the output of the LNA and the input of the post-mixer amplifier (PMA). You can essentially ignore then in this analysis, and just assume that they ideally convert from RF to baseband (direct conversion).<\/p>\n<p>Consider the loss term R1\/(R<sub>1<\/sub> + R<sub>2<\/sub>). It doesn\u2019t have to be there.<\/p>\n<h2>Trans-conducting LNA<\/h2>\n<p>If we replace R1 with a current-source load and merely omit R2, we\u2019d have something like this:<\/p>\n<p><a href=\"https:\/\/www.circuitdesign.info\/blog\/wp-content\/uploads\/2008\/11\/scan0082.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.circuitdesign.info\/blog\/wp-content\/uploads\/2008\/11\/scan0082-thumb.jpg\" alt=\"scan0082\" width=\"236\" height=\"244\" border=\"0\" \/><\/a> You\u2019ll note that the previous loss term is now gone. We have greatly enhanced the gain at essentially no cost. Furthermore, the resulting architecture is even more linear: there is little swing at the output of the LNA; the summing junction of the PMA linearizes the LNA by presenting a low impedance to the LNA.<\/p>\n<p>Due to the high output impedance of the LNA, a common-mode feedback circuit is necessary. I have detailed <a title=\"it's almost a common-mode feedback loop\" href=\"http:\/\/www.circuitdesign.info\/?p=102\" target=\"_blank\" rel=\"noopener noreferrer\">two<\/a> <a title=\"Common-mode feedback using a triode device\" href=\"https:\/\/www.circuitdesign.info\/blog\/2008\/10\/a-compact-common-mode-feedback-loop-using-a-pmos-triode-device-for-cmfb\/\" target=\"_blank\" rel=\"noopener noreferrer\">ways<\/a> of doing that.<\/p>\n<h2>References<\/h2>\n<p><a title=\"Matt's LinkedIn profile\" href=\"http:\/\/www.linkedin.com\/pub\/7\/4a9\/b18\" target=\"_blank\" rel=\"noopener noreferrer\">Matt Miller<\/a> and I came up with these ideas at Motorola in 2004. We were not the only ones. Other people within Motorola came up with the same idea. In addition, I had seen it published somewhere around 2004\u2014I thought by Michiel Steyaert or Thomas Lee. Despite my recollection, the closest references I have seen available are: <a title=\"IEEE Explore Article from 2004\" href=\"http:\/\/ieeexplore.ieee.org\/xpls\/abs_all.jsp?arnumber=1346486\" target=\"_blank\" rel=\"noopener noreferrer\">\u201cA 72mW CMOS 802.11a direct conversion receiver with 3.5dB NF and 200kHz 1\/f noise corner\u201d<\/a> (albeit using an inductor load instead of PMOS loads) and <a title=\"IEEE Explore Article from 2004 Asia-Pacific Conference on Circuits and Systems\" href=\"http:\/\/ieeexplore.ieee.org\/xpls\/abs_all.jsp?arnumber=1412760\" target=\"_blank\" rel=\"noopener noreferrer\">\u201cA 1 V 1.1 GHz CMOS integrated receiver front-end\u201d<\/a> (with a folded Gilbert cell mixer).<\/p>","protected":false},"excerpt":{"rendered":"<p>In this post, I will show an evolution of a trans-conducting LNA (rather than a voltage-gain LNA). This is a prime example of current-mode circuit design, which has benefits in terms of linearity\u2014especially for low-voltage scaling in RFCMOS design.<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[3],"tags":[],"class_list":["post-317","post","type-post","status-publish","format-standard","hentry","category-analog-pro"],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/poCEy-57","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.circuitdesign.info\/blog\/wp-json\/wp\/v2\/posts\/317","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.circuitdesign.info\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.circuitdesign.info\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.circuitdesign.info\/blog\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/www.circuitdesign.info\/blog\/wp-json\/wp\/v2\/comments?post=317"}],"version-history":[{"count":2,"href":"https:\/\/www.circuitdesign.info\/blog\/wp-json\/wp\/v2\/posts\/317\/revisions"}],"predecessor-version":[{"id":1160,"href":"https:\/\/www.circuitdesign.info\/blog\/wp-json\/wp\/v2\/posts\/317\/revisions\/1160"}],"wp:attachment":[{"href":"https:\/\/www.circuitdesign.info\/blog\/wp-json\/wp\/v2\/media?parent=317"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.circuitdesign.info\/blog\/wp-json\/wp\/v2\/categories?post=317"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.circuitdesign.info\/blog\/wp-json\/wp\/v2\/tags?post=317"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}