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Analytical Expressions for the Harmonic Transfer Functions of N-path Filters with Arbitrary Source and Load Impedances
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- Author / Creator
- Rizwan, Shahriar
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In recent years, N-path filters have gained increasing attention due to their programmable center frequency and bandwidth, making them potential candidates for software-defined radio applications. The analytical determination of the harmonic transfer functions (HTFs) of these linear, periodically time-varying (LPTV) networks has proven to be challenging, especially with arbitrary source and load impedances. In this work, we derive new analytical expressions for the HTFs. We start with first-order approximations of the HTFs based on a simplified “Ohm’s-law” characterization of filter operation and then show how these can be corrected via a feedback visualization to obtain infinite-series expressions. We compare our expressions to simulation to illustrate the accuracy of both full and approximate versions, and we apply our expressions to study the impact of variations in the source and load impedances. Overall, our approach provides a way to visualize and understand the individual terms contributing to the HTFs and adds to the existing analytical methods to explore N-path filters.
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- Graduation date
- Fall 2020
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- Type of Item
- Thesis
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- Degree
- Master of Science
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- License
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