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New mathematical formulation for designing a fully differential self-biased folded cascode amplifier
One of the most important building blocks in analog circuit design is the operational amplifiers. This is because of their versatility and wide spread usage in many applications such as communications transmitters and receivers, analog to digital converters, or any other application that requires a...
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AUC Knowledge Fountain
2012
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| _version_ | 1867613416552660992 |
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| access_status_str | Open Access |
| author | Abdelsalam, Mohamed Adel |
| author_browse | Abdelsalam, Mohamed Adel |
| author_facet | Abdelsalam, Mohamed Adel |
| author_sort | Abdelsalam, Mohamed Adel |
| collection | Thesis |
| dc_rights_str_mv | The author retains all rights with regard to copyright. The author certifies that written permission from the owner(s) of third-party copyrighted matter included in the thesis, dissertation, paper, or record of study has been obtained. The author further certifies that IRB approval has been obtained for this thesis, or that IRB approval is not necessary for this thesis. Insofar as this thesis, dissertation, paper, or record of study is an educational record as defined in the Family Educational Rights and Privacy Act (FERPA) (20 USC 1232g), the author has granted consent to disclosure of it to anyone who requests a copy. |
| description | One of the most important building blocks in analog circuit design is the operational amplifiers. This is because of their versatility and wide spread usage in many applications such as communications transmitters and receivers, analog to digital converters, or any other application that requires a small signal to be amplified. The basic amplifier topologies are introduced. Then, some operational amplifiers topologies are introduced with some techniques to self bias these amplifiers. The folded cascode fully differential Op-Amp with self bias is presented. This is one of the newest amplifier topologies which provide stable self-biased amplifiers. A new mathematical model for fully differential folded cascode amplifiers is presented and generalized to include the family of fully differential complementary amplifiers. This formulation focuses on deriving detailed design equations for the amplifier gain and frequency response. The equations are verified through time domain and frequency domain simulations of different fabrication processes to ensure the validity of the model across a wide range of processes. The model was verified against TMSC 180nm, 250nm, and 350nm fabrication processes. The new model agrees well with simulations; with 1% error for the amplifier gain and <7% error for amplifier bandwidth. The relatively high error value for the bandwidth is because the model considers the worst case scenario and overestimates the output capacitance. Finally, the algorithm of getting this formulation is extended to include special and commonly used cases. This formulation proved to be very useful in designing stable, self-biased, fully differential folded cascode amplifiers. |
| format | Thesis |
| id | oai:fount.aucegypt.edu:etds-2232 |
| institution | American University in Cairo (Egypt) |
| last_indexed | 2026-06-10T12:35:47.730Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from AUC Knowledge Fountain — bepress |
| publishDate | 2012 |
| publishDateRange | 2012 |
| publishDateSort | 2012 |
| publisher | AUC Knowledge Fountain |
| publisherStr | AUC Knowledge Fountain |
| record_format | dspace |
| source_str | AUC Knowledge Fountain — bepress |
| spelling | oai:fount.aucegypt.edu:etds-2232 New mathematical formulation for designing a fully differential self-biased folded cascode amplifier Abdelsalam, Mohamed Adel One of the most important building blocks in analog circuit design is the operational amplifiers. This is because of their versatility and wide spread usage in many applications such as communications transmitters and receivers, analog to digital converters, or any other application that requires a small signal to be amplified. The basic amplifier topologies are introduced. Then, some operational amplifiers topologies are introduced with some techniques to self bias these amplifiers. The folded cascode fully differential Op-Amp with self bias is presented. This is one of the newest amplifier topologies which provide stable self-biased amplifiers. A new mathematical model for fully differential folded cascode amplifiers is presented and generalized to include the family of fully differential complementary amplifiers. This formulation focuses on deriving detailed design equations for the amplifier gain and frequency response. The equations are verified through time domain and frequency domain simulations of different fabrication processes to ensure the validity of the model across a wide range of processes. The model was verified against TMSC 180nm, 250nm, and 350nm fabrication processes. The new model agrees well with simulations; with 1% error for the amplifier gain and <7% error for amplifier bandwidth. The relatively high error value for the bandwidth is because the model considers the worst case scenario and overestimates the output capacitance. Finally, the algorithm of getting this formulation is extended to include special and commonly used cases. This formulation proved to be very useful in designing stable, self-biased, fully differential folded cascode amplifiers. 2012-02-01T08:00:00Z thesis application/pdf https://fount.aucegypt.edu/etds/1233 https://fount.aucegypt.edu/context/etds/article/2232/viewcontent/M_Abdelsalam_Thesis_S2012.pdf The author retains all rights with regard to copyright. The author certifies that written permission from the owner(s) of third-party copyrighted matter included in the thesis, dissertation, paper, or record of study has been obtained. The author further certifies that IRB approval has been obtained for this thesis, or that IRB approval is not necessary for this thesis. Insofar as this thesis, dissertation, paper, or record of study is an educational record as defined in the Family Educational Rights and Privacy Act (FERPA) (20 USC 1232g), the author has granted consent to disclosure of it to anyone who requests a copy. Theses and Dissertations AUC Knowledge Fountain Integrated circuits Electronic circuit design |
| spellingShingle | Integrated circuits Electronic circuit design Abdelsalam, Mohamed Adel New mathematical formulation for designing a fully differential self-biased folded cascode amplifier |
| title | New mathematical formulation for designing a fully differential self-biased folded cascode amplifier |
| title_full | New mathematical formulation for designing a fully differential self-biased folded cascode amplifier |
| title_fullStr | New mathematical formulation for designing a fully differential self-biased folded cascode amplifier |
| title_full_unstemmed | New mathematical formulation for designing a fully differential self-biased folded cascode amplifier |
| title_short | New mathematical formulation for designing a fully differential self-biased folded cascode amplifier |
| title_sort | new mathematical formulation for designing a fully differential self biased folded cascode amplifier |
| topic | Integrated circuits Electronic circuit design |
| url | https://fount.aucegypt.edu/etds/1233 https://fount.aucegypt.edu/context/etds/article/2232/viewcontent/M_Abdelsalam_Thesis_S2012.pdf |
| work_keys_str_mv | AT abdelsalammohamedadel newmathematicalformulationfordesigningafullydifferentialselfbiasedfoldedcascodeamplifier |