Prime Number Interleave for Byte Lane to Time Slice Conversion
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Solution Overview
Problem
High-speed data conversion from byte lanes to time slices becomes increasingly resource-intensive as the number of byte lanes increases, requiring efficient methods to rearrange data across multiple clients and lanes without disrupting processing.
Innovation Solution
The use of prime number interleave optimization, where data from N byte lanes is circularly interleaved into P buffers (P being a smallest prime number greater than N, with phantom lanes) to ensure data for time slices is located in different buffers, and read out using appropriate addressing to convert to time slices, utilizing finite field arithmetic for correct lane assignment.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If data conversion from byte lanes to time slices is performed using traditional methods, then data can be converted between formats, but resource requirements increase significantly as the number of byte lanes increases
Solution Approach 1:
The patent divides the data conversion process into distinct functional segments: an interleaver module that redistributes data based on prime number patterns, and a deinterleaver module that reconstructs time slices. This segmentation allows each module to handle specific portions of the conversion task independently, reducing overall resource requirements while maintaining support for configurable byte lane arrangements.
Solution Approach 2:
The patent utilizes prime number mathematics to change the parameter space of data arrangement. By mapping byte lane indices to time slice indices using prime number properties (specifically using a prime P greater than the number of byte lanes N), the system achieves efficient conversion with reduced resource requirements. The prime number interleaving pattern creates a mathematical transformation that simplifies the conversion process.
2Productivity
If full bandwidth is arranged for processing, then complete data processing capability is achieved, but conversion becomes increasingly resource intensive as total number of byte lanes increases
Solution Approach 1:
The patent performs preliminary data rearrangement during the byte lane to time slice conversion process by pre-positioning data in memory locations according to prime number interleaving patterns. This preliminary action ensures that when data is read for processing, it is already organized in the correct time slice format, eliminating the need for additional resource-intensive reorganization operations during full bandwidth processing.
3Adaptability or versatility
If byte lanes from different clients are mixed, then flexible client configuration is achieved, but data for time slices must be rearranged across multiple buffers
Solution Approach 1:
The patent introduces an intermediary mathematical transformation based on prime number theory that mediates between the byte lane format (with mixed client data) and the time slice format (with separated client data). The prime number interleaving algorithm acts as this intermediary, systematically rearranging data without requiring complex buffer management or additional processing stages.
Data Source
AI summary
Circuit systems and methods use prime number interleave optimization for byte lane to time slice conversion of incoming data streams. Generally, the systems and methods buffer data for at least a number of samples equal to the number of byte lanes. Then the samples are transferred to a bank of buffers whose width is the smallest prime number greater than or equal to the number of byte lanes, N. Thus, the systems and methods utilize P minus N phantom lanes. As data is transferred, the data is circularly interleaved (position*N modulo P) so that all data which will be needed at the same time wind up in different readable devices, i.e. the buffers. By appropriate addressing, the data in the different readable devices may then be read in the form of time slices. The process can be reversed for time slice to byte lane conversion.