Discrete-Time Filter Signal Modeling for Jitter and Noise Simulation
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Designing Discrete Time Filters (DTFs) for high-speed systems is challenging due to the complexity of modeling and simulating their behavior, especially in handling noise and jitter, which are critical for mitigating intersymbol interference (ISI) in non-ideal transmission channels.
Innovation Solution
A computer-implementable method is developed to quickly create a multi-unit-interval vector representing the output of a DTF, allowing for simulation without laying out the circuitry, by inputting the number of taps and weights, and incorporating noise and jitter into the simulation vector for realistic modeling.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional circuit-level simulation methods are used to model DTF behavior, then simulation accuracy is improved, but design time and complexity increase significantly
Solution Approach 1:
The patent creates a mathematical model that copies and simulates the behavior of the discrete-time filter without requiring actual circuit-level simulation. The model uses difference equations and transfer functions to replicate the filter's output response, allowing designers to evaluate DTF performance through computational mathematics rather than time-consuming circuit simulation. This copying approach maintains sufficient accuracy for design optimization while dramatically reducing design time.
Solution Approach 2:
The patent replaces the mechanical/circuit simulation system with a mathematical computation system. Instead of simulating the actual circuit behavior through SPICE or similar tools, the invention uses discrete-time mathematical models, difference equations, and transfer function analysis to predict filter output. This substitution eliminates the need for iterative circuit-level simulation while providing accurate enough results for DTF design and optimization.
2Reliability
If circuit-level simulation with detailed DTF layout is performed, then realistic signal behavior is achieved, but design complexity and effort increase
Solution Approach 1:
The patent creates a behavioral copy of the DTF output signal using mathematical models rather than physical circuit simulation. The difference equation-based model replicates the filter's response to input data sequences, including the effects of tap weights and delay elements, without requiring detailed circuit layout or complex simulation setup. This copying method achieves realistic signal behavior while eliminating design complexity associated with circuit-level simulation.
Solution Approach 2:
The patent extracts the essential functional behavior of the DTF from its physical circuit implementation. By focusing on the mathematical relationship between input data and output signal through difference equations and transfer functions, the invention separates the critical signal processing behavior from the complex circuit details. This extraction allows accurate prediction of signal behavior without requiring detailed circuit layout or complex simulation environments.
3Manufacturing precision
If DTF parameters are optimized through trial and error with circuit simulation, then performance is improved, but the number of iterations and time required increases
Solution Approach 1:
The patent replaces iterative circuit simulation with direct mathematical computation for DTF parameter optimization. The difference equation model allows immediate calculation of output signals for any given set of tap weights and input data, enabling rapid evaluation of different parameter configurations. This substitution eliminates the time-consuming iterative simulation process while maintaining the ability to optimize DTF parameters for desired signal processing performance.
Solution Approach 2:
The patent enables efficient parameter optimization by using a mathematical model where tap weights and other DTF parameters can be directly adjusted and evaluated through computation. The transfer function representation allows systematic exploration of parameter space to optimize filter performance for specific channel conditions and ISI mitigation requirements, significantly faster than circuit simulation-based trial and error.
Data Source
AI summary
The computer-implementable method allows for the fast creation of a multi-unit interval data signal suitable for simulation. The created signal represents the output of an otherwise ideal Discrete Time Filter (DTF) circuit, and the quick creation of the signal merely requires a designer to input the number of taps and their weights without the need of laying out or considering the circuitry of the DTF. A matrix is created based on a given data stream, and the number of taps and weights, which matrix is processed to create the multi-unit-interval data signal. Noise and jitter can be added to the created signal such that it now realistically reflects non-idealities common to actual systems. The signal can then be simulated using standard computer-based simulation techniques.