A mathematical modeling method for bipolar PRBS and PAM4 signals

The time-domain mathematical expressions of bipolar PRBS and PAM4 signals are derived through Fourier transform, which solves the quantitative analysis difficulties in existing technologies, realizes efficient modeling and accurate analysis of high-speed signals, and improves the information transmission rate.

CN118018428BActive Publication Date: 2025-09-09BEIJING UNIV OF POSTS & TELECOMM
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Patent Information

Application Number
CN202410176774.3
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2024-02-08
Publication Date
2025-09-09
Estimated Expiration
2044-02-08

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Abstract

The present invention discloses a mathematical modeling method for bipolar PRBS and PAM4 signals. The present invention comprises the following steps: first, deriving a universal mathematical expression for bipolar non-return-to-zero PRBS signals, and on this basis, obtaining a mathematical formula for the time-domain voltage of the PAM4 signal; then, based on theoretical derivation, establishing a mathematical model for the bipolar PRBS and PAM4 signals, and writing an algorithm to automatically and efficiently mathematically model any bipolar PRBS and PAM4 signal; and finally, using the algorithm to construct and analyze different bipolar PRBS and PAM4 signals, comprehensively verifying the accuracy and reliability of the mathematical model. The method is characterized in that an algorithm is written that can quickly and automatically establish a mathematical model for any bipolar PRBS and PAM4 signal, and the essence of its time-domain waveform is revealed in mathematical language. Through the above method, a mathematical model for any bipolar PRBS and PAM4 signal can be comprehensively and accurately established, which has reference value and guiding significance for relevant application research of such high-speed signals.
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