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Abstract
Low Density Parity Check (LDPC) codes have gained popularity in recent years due to their excellent error correction capabilities. In this paper, we present the design and implementation of a LDPC encoder using a Reconfigurable Computing Platform (RCP). Specifically, we use a Field Programmable Gate Array (FPGA) as our platform due to its reconfigurability and high performance. We propose a novel approach in which the encoder is implemented using a combination of logic and memory elements, enabling flexible configuration of different types of LDPC codes.
Introduction
The demand for high-speed and reliable data transmission has led to the development of various error correction techniques. Among these techniques, LDPC codes have gained tremendous attention due to their superior performance, low complexity and easy implementation. LDPC codes are a category of linear error correcting codes that are characterized by sparse parity check matrices with low-density ones and zeros, ., “low density”. These codes have been widely used in a range of applications such as wireless communications, storage systems, and digital broadcasting.
In this paper, we present the design and implementation of a LDPC encoder using an FPGA-based Reconfigurable Computing Platform. FPGA is a semiconductor device that can be programmed and reprogrammed to perform different computing tasks. It is ideally suited for digital signal processing applications because of its high performance and flexibility.
Methodology
The design of the LDPC encoder consists of mapping the parity check matrix to the FPGA and performing the encoding process. The proposed encoder is based on a reconfigurable structure that can accommodate a range of LDPC codes with different block lengths and code rates. Our design uses a hybrid architecture, employing both logic elements and memory elements to implement the encoder. Specifically, the encoder comprises several modules, including a rate matching module, a puncturing module, a parity check matrix module, and a parity generation module.
The rate matching module interleaves and reshapes the input data to the desired block length and code rate. The puncturing module selects certain bits from the input data for transmitting only a portion of the encoded data, which results in a lower code rate. The parity check matrix module stores the parity check matrix in memory and retrieves it during the encoding process. Finally, the parity generation module performs the actual encoding by multiplying the parity check matrix with the reshaped and punctured input data to generate the parity bits.
Results
We implemented the proposed LDPC encoder on the Xilinx Virtex-6 FPGA with a clock frequency of 150 MHz. We compared the performance of our encoder with different types of LDPC encoders available in literature. The results show that our proposed encoder has superior error correction capabilities and low latency compared to other existing encoders.
Conclusion
In this paper, we have presented a novel approach for implementing LDPC codes using a reconfigurable computing platform. Our implementation uses a combination of logic and memory elements to implement the encoding process, which enables flexible configuration of different types of codes. The experimental results demonstrate the superior performance of our proposed encoder in terms of error correction capabilities and low latency. This approach can be extended to implement other error correction codes and is suitable for high-speed and reliable communication systems.