ECE145a / 218a Tuned Amplifier Design -basic gain relationships
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1 ca note, M. Rodwe, copyrighted 009 ECE45a / 8a uned Ampifier Deign -aic ga reationhip -deign the (impe) uniatera imit it Mark Rodwe Univerity of Caifornia, anta Barara rodwe@ece.uc.edu , fax
2 enerator Wave Reationhip ca note, M. Rodwe, copyrighted 009 Reca from at note et + V V + V : + V 0 V 0 + V 0 + a a where V and + 0 0
3 ca note, M. Rodwe, copyrighted 009 enerator Wave Reationhip: oad ower + a ower deivered to : 0 0 ower deivered to : oad a /( ) and a o : and a ower deivered to an aritary oad oad 0
4 ca note, M. Rodwe, copyrighted 009 enerator Wave Reationhip: Avaiae ower ower deivered to an aritary oad d deivered to a matched oad ower 0 oad AV 0 AV
5 randucer a ca note, M. Rodwe, copyrighted 009 a oad + ( )( ) randucer a : oad / AV AV whie oad a oad oad a oad [ ] oad
6 randucer a ca note, M. Rodwe, copyrighted 009 oad AV [ ] [ ] [ ] [ ] aoad a oad oad oad ut a oad ( )( ) [ ] [ ] oad ( )( ) hi i the era iatera expreion for tranducer ga. It depend upon,, oad, and {,,, }.
7 ca note, M. Rodwe, copyrighted 009 Input and Output Impedance Reationhip Reca that + +
8 ca note, M. Rodwe, copyrighted 009 Input and Output Impedance Reationhip [ ] [ ] oad + + and + + D and [ ] [ ] oad + ( )( ) adfadf ( )( )...tediou, ut not hard. N D
9 randucer ower a ca note, M. Rodwe, copyrighted 009 herefore where + By a imiar utitution where + ook carefuy at thee expreion : the put - put iatera teraction i hidden either the or term. We wi ue thee to derive variou power ga.
10 ca note, M. Rodwe, copyrighted 009 Operatg ower a: a with Input Matched p ce oad AV iff AV oad impie AV where + p p i ued to exame the variation tranitor ga a i computed with the put matched. we vary the put match.
11 ca note, M. Rodwe, copyrighted 009 Avaiae ower a: a with Output Matched A AVA ce A AVA iff AVA oad oad AV oad impie AV A where + A A i ued to exame the variation tranitor ga a i computed with the put matched. we vary the put match.
12 How A Maximum Avaiae a? ca note, M. Rodwe, copyrighted 009 max AVA we now need iff AVA oad and AV and oad AV we mut imutaneouy ove + and + and then utitute to hi i, at a mimum, mathematicay tediou. Wore, there may e no ion......more on thi ater.
13 ca note, M. Rodwe, copyrighted 009 Uniatera Ampifier Deign
14 Uniatera Ampifier Deign ca note, M. Rodwe, copyrighted 009 We wi now conider the variou ga reationhip under the impifyg cae of 0. We do thi to deveop etter our undertandg of thee ga. he uniatera expreion are not to e ued for rea deign, or rea tranitor ga cacuation. ampifier Warng : the expreion are ga for a device which happen to e uniatera, not tthega of a iatera device after we provide feedack to make it uniatera. he atter quantity i Maon' variant, the uniatera ga, and i decried eewhere.
15 Uniatera Ampifier Deign ca note, M. Rodwe, copyrighted 009 uppoe we have a device with 0. ( [ ] [ ] [ ] [ ] oad )( ) ( )( ) impe and eay to recognize! where and i i the fraction of the fraction of ga ot/gaed due ga ot/gaed due to put mimatch/match to put mimatch/match
16 ower Wated Due to Mimatch ca note, M. Rodwe, copyrighted 009 Recoect the power reationhip for a erator oad 0 Recognize the ame term where and iven that 0, and are the put and put refection coefficient. Hence and jut repreent impedance mimatch term at put and put.
17 ca note, M. Rodwe, copyrighted 009 Maximum ower ranfer, Maximum Avaiae a Recoect the power reationhip for a erator AV 0 We mut now match on put and put : Recognize the ame term max and Can we make ene of thi expreion?
18 ca note, M. Rodwe, copyrighted 009 Impedance matchg Recyg the Refection! uppoe we have an ampifier with j0. iven a 50Ω erator, 5% of the avaiae put power i refected and ot. If we coud recyce thi power, the put power woud e creaed proportion to which i to ay, proportion to. 0.5 Impedance- matchg recyce the refected power.
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