Digital Pink Noise Generator With No Low-Frequency Cutoff
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Solution Overview
Problem
Existing pink noise generation circuits are inadequate for digital systems, lacking precision, tunability, and the ability to regenerate noise, with impractical component sizes for ultra-low frequency operation and being inherently analog.
Innovation Solution
A digital pink noise generation method using stochastic signal generators with adjustable update probabilities and random number generators to produce noise with tunable amplitude and no low-frequency cutoff, implemented in a computationally efficient manner.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If standard 10 dB/decade low-pass filters are used for pink spectral shaping, then pink noise can be generated, but component sizes become impractically large for ultra-low frequency operation
Solution Approach 1:
The patent replaces physical analog filter components with a digital computational algorithm. The pink noise generation is achieved through software-based spectral shaping using a 10 dB/decade low-pass filter algorithm implemented in digital signal processing, eliminating the need for large physical capacitors and inductors required in analog implementations for ultra-low frequency operation.
2Measurement precision
If noisy components such as diodes are used in prior art noise generation circuits, then noise can be generated, but precision and tune-ability are insufficient
Solution Approach 1:
The patent replaces physical noisy components like diodes with a digital algorithm that generates pink noise through computational methods. The system uses digital signal processing with a spectral shaping algorithm that applies a 10 dB/decade low-pass filter to white noise, providing precise control over noise characteristics without requiring complex analog circuitry with noisy passive components.
3Reliability
If prior art pink noise generation methods are used, then noise can be generated, but the noise cannot be regenerated as it is not created using a deterministic pseudo-random process
Solution Approach 1:
The patent implements a deterministic pseudo-random number generator that pre-generates sequences of random numbers according to a specific algorithm. This allows the same noise sequence to be regenerated deterministically by re-initializing the generator with the same seed value, enabling reproducible noise traces for testing and verification purposes while maintaining the statistical properties of pink noise.
4Adaptability or versatility
If prior art noise signals are used, then noise can be generated, but they are intrinsically analog and thus cannot be used in an all-digital system
Solution Approach 1:
The patent generates pink noise entirely in the digital domain using a computational algorithm implemented in software or digital logic. The system uses digital random number generation followed by digital spectral shaping with a 10 dB/decade low-pass filter algorithm, producing pink noise as a digital signal that can be directly used in all-digital systems without requiring analog-to-digital conversion, thereby maintaining precision throughout the digital signal chain.
Data Source
AI summary
A method for providing pink noise and improving computational efficiency including providing NS stochastic signal generators, generating a respective first random number g with variance σ and generating a respective second random number u for each respective stochastic signal generator at each discrete time n, comparing the respective second random number u with an update probability for the respective stochastic signal generator at each discrete time n, if the respective u is greater than the update probability, then not changing a respective output of the respective stochastic signal generator, if the respective u is less than or equal to the update probability, then updating the respective output of the respective stochastic signal generator to be equal to the first random number, and summing at each discrete time n the respective output of each of the NS stochastic signal generators.