Signal Transmission Simulation Using Convolved Probability Distribution Functions
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Solution Overview
Problem
Current simulation techniques for high-speed data transmission in multi-Gigabit systems fail to accurately model non-idealities such as Simultaneous Switching Output (SSO) noise and cross talk, leading to overly optimistic bit error rates and limited accuracy in predicting data reception reliability.
Innovation Solution
The proposed technique models and simulates Intersymbol Interference (ISI), cross talk, and SSO noise using probability distribution functions (PDFs) that are convolved to provide a more realistic representation of signal transmission, allowing for separate indexing of channels and logic states to account for unique environments and asymmetries.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If current simulation techniques are used for high-speed data transmission, then simulation speed and simplicity are maintained, but accuracy in modeling non-idealities such as SSO noise and cross talk deteriorates
Solution Approach 1:
The patent segments the simulation model into separate components: ideal transmission model, ISI model, cross-talk model, and SSO noise model. Each non-ideality is modeled independently and then combined through convolution to produce the overall signal degradation. This segmentation allows accurate modeling of complex phenomena while maintaining manageable model complexity.
Solution Approach 2:
The patent introduces probability distribution functions (PDFs) as intermediary representations to model the statistical effects of ISI, cross-talk, and SSO noise. These PDFs serve as mediators that capture the cumulative effect of multiple non-idealities without requiring direct simulation of each individual interference source, thereby improving accuracy while controlling computational complexity.
2Reliability
If ideal transmission model is used, then simulation computation is simplified, but reliability of data reception prediction deteriorates
Solution Approach 1:
The patent performs preliminary modeling of non-idealities by pre-calculating the effects of ISI, cross-talk, and SSO noise as separate PDFs. These pre-computed models are then convolved with the ideal transmission signal to predict actual reception conditions. This preliminary action approach allows reliable predictions without requiring full re-simulation of all interference effects during each transmission scenario.
Solution Approach 2:
The patent transforms the simulation approach by changing from direct time-domain simulation of complex interference effects to parameter-based PDF convolution in the frequency domain. This parameter transformation allows accurate reliability prediction while significantly reducing computational requirements compared to traditional time-domain simulation methods.
3Measurement precision
If separate modeling of ISI, cross talk, and SSO noise is implemented, then accuracy of signal transmission representation is improved, but computation resources required increase
Solution Approach 1:
The patent merges the separate models of ISI, cross-talk, and SSO noise into a unified convolution operation. By combining these individually modeled non-idealities through mathematical convolution, the system achieves accurate signal transmission representation while avoiding the computational expense of simulating all interference effects separately in the time domain. The merging of models through convolution reduces overall computational resources required.
Data Source
AI summary
Methods implementable in a computer system for simulating the transmission of signals across a plurality of data channels (bus) are disclosed. The disclosed techniques simulate the effects of Intersymbol Interference (ISI), cross talk, and Simultaneous Switching Output (SSO) noise by generating Probability Distribution Functions (PDFs) for each. The resulting PDFs are convolved to arrive at a total PDF indicative of the reception of data subject to each of these non-idealities. The total PDF, and its underlying terms, can be indexed to particular channels of the bus as well as to particular logic states. Use of the disclosed technique allows bit error rates and sensing margins to be determined with minimal computation and simulation.