arXiv subjects

Paul Rigge

Publications and source records attributed to Paul Rigge.

5 recordsLinked to original sources

arXiv2026

Graph-Based ECO and Patch Generation for High-Level Synthesis

High-level synthesis (HLS) tools offer limited support for Engineering Change Orders (ECOs), making late-stage design modifications challenging and costly. This paper introduces a graph-based ECO methodology tailored for Google XLS. A Graph Edit Distance (GED) algorithm is used to detect structural differences between original and revised intermediate representations (IRs), which are then transformed into patch operations. A patch application mechanism is developed to enforce XLS IR constraints while preserving semantic correctness, together with a schedule constraining scheme that maintains the original pipeline registers. Experiments across several XLS designs demonstrate high structural reuse ratios, effective schedule preservation, and full functional correctness, highlighting the practicality of the approach for production HLS flows.

cs.SE↗

arXiv2018

Wireless Channel Dynamics and Robustness for Ultra-Reliable Low-Latency Communications

Interactive, immersive and critical applications demand ultra-reliable low-latency communication (URLLC). To build wireless communication systems that can support these applications, understanding the characteristics of the wireless medium is paramount. Although wireless channel characteristics and dynamics have been extensively studied, it is important to revisit these concepts in the context of the strict demands of low latency and ultra-reliability. In this paper, we bring a modeling approach from robust control to wireless communication -- the wireless channel characteristics are given a nominal model around which we allow for some quantified uncertainty. We propose certain key "directions" along which to bound model uncertainty that are relevant to URLLC. For the nominal model, we take an in-depth look at wireless channel characteristics such as spatial and temporal correlations based on Jakes' model. Contrary to what has been claimed in the literature, we find that standard Rayleigh fading processes are not bandlimited. This has significant implications on the predictability of channels. We also find that under reasonable conditions the spatial correlation of channels provide a fading distribution that is not too far off from an independent spatial fading model. Additionally, we look at the impact of these channel models on cooperative communication based systems. We find that while spatial-diversity-based techniques are necessary to combat the adverse effects of fading, time-diversity-based techniques are necessary to be robust against unmodeled errors. Robust URLLC systems need to operate with both an SNR margin and a time/repetition margin.

cs.IT↗

arXiv2018

Network Coding for Real-time Wireless Communication for Automation

Real-time applications require latencies on the order of a millisecond with very high reliabilities, paralleling the requirements for high-performance industrial control. Current wireless technologies like WiFi, Bluetooth, LTE, etc. are unable to meet these stringent latency and reliability requirements, forcing the use of wired systems. This paper introduces a wireless communication protocol based on network coding that in conjunction with cooperative communication techniques builds the necessary diversity to achieve the target reliability. The proposed protocol is analyzed using a communication theoretic delay-limited-capacity framework and compared to proposed protocols without network coding. The results show that for larger network sizes or payloads employing network coding lowers the minimum SNR required to achieve the target reliability. For a scenario inspired by an industrial printing application with $30$ nodes in the control loop, aggregate throughput of $4.8$ Mb/s, $20$MHz of bandwidth and cycle time under $2$ ms, the protocol can robustly achieve a system probability of error better than $10^{-9}$ with a nominal SNR less than $2$ dB under ideal channel conditions.

cs.IT↗

arXiv2016

Real-time Cooperative Communication for Automation over Wireless

High-performance industrial automation systems rely on tens of simultaneously active sensors and actuators and have stringent communication latency and reliability requirements. Current wireless technologies like WiFi, Bluetooth, and LTE are unable to meet these requirements, forcing the use of wired communication in industrial control systems. This paper introduces a wireless communication protocol that capitalizes on multiuser diversity and cooperative communication to achieve the ultra-reliability with a low-latency constraint. Our protocol is analyzed using the communication-theoretic delay-limited-capacity framework and compared to baseline schemes that primarily exploit frequency diversity. For a scenario inspired by an industrial printing application with thirty nodes in the control loop, 20B messages transmitted between pairs of nodes and a cycle time of $2$ ms, an idealized protocol can achieve a cycle failure probability (probability that any packet in a cycle is not successfully delivered) lower than $10^{-9}$ with nominal SNR below 5 dB in a 20MHz wide channel.

cs.IT↗

arXiv2012

Numerical Solutions to the Sine-Gordon Equation

The sine-Gordon equation is a nonlinear partial differential equation. It is known that the sine-Gordon has soliton solutions in the 1D and 2D cases, but such solutions are not known to exist in the 3D case. Several numerical solutions to the 1D, 2D, and 3D sine-Gordon equation are presented and comments are given on the nature of the solutions.

physics.comp-ph↗