Analytical Approach for SiGe HBT Static Frequency Divider Design for Millimeter-Wave Frequency Operation

This paper presents a new analytic approach for static frequency divider design. It consists of derivations of analytic expressions for the self-oscillation frequency and frequency divider oscillation condition, based on the device-level circuit parameters only. Additionally, an analytic expression for frequency divider sensitivity is obtained based on injection-locking theory. The proposed approach is verified against measurement results of a static frequency divider, fabricated in SiGe BiCMOS 0.13- $\mu \text{m}$ process. This approach enables fast preliminary frequency divider design based on time- and resource-efficient simulations.

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