dc)-LDPC codes over GF(q) using their binary images
نویسندگان
چکیده
In this paper, a method to design regular (2, dc)LDPC codes over GF(q) with both good waterfall and error floor properties is presented, based on the algebraic properties of their binary image. First, the algebraic properties of rows of the parity check matrix H associated with a code are characterized and optimized to improve the waterfall. Then the algebraic properties of cycles and stopping sets associated with the underlying Tanner graph are studied and linked to the global binary minimum distance of the code. Finally, simulations are presented to illustrate the excellent performance of the designed codes.
منابع مشابه
Design of regular (2, dc)-LDPC codes over GF(q) using their binary images
In this paper, a method to design regular (2, dc)-LDPC codes over GF(q) with both good waterfall and error floor properties is presented, based on the algebraic properties of their binary image. First, the algebraic properties of rows of the parity check matrix H associated with a code are characterized and optimized to improve the waterfall. Then the algebraic properties of cycles and stopping...
متن کاملFPGA Implementations of LDPC over GF(2m) Decoders
Low Density Parity Check (LDPC) codes over GF(2) are an extension of binary LDPC codes that have not been studied extensively. Performances of GF(2) LDPC codes have been shown to be higher than binary LDPC codes, but the complexity of the encoders/decoders increases. Hence there is a substantial lack of hardware implementations for LDPC over GF(2) codes. This paper presents a FPGA serial implem...
متن کاملApplication of Nonbinary LDPC Codes for Communication over Fading Channels Using Higher Order Modulations
In this paper, we investigate the application of nonbinary low density parity check (LDPC) codes over Galois field GF(q) for both single-input single-output (SISO) and multipleinput multiple-output (MIMO) fading channels using higher order modulations. As opposed to the widely studied binary systems that employ joint detection and channel decoding, we propose a nonbinary system where optimal si...
متن کاملOn Multilevel Coding Schemes Based on Non-Binary LDPC Codes
We address the problem of constructing of coding schemes for the channels with high-order modulations. It is known, that non-binary LDPC codes are especially good for such channels and significantly outperform their binary counterparts. Unfortunately, their decoding complexity is still large. In order to reduce the decoding complexity we consider multilevel coding schemes based on non-binary LD...
متن کاملPerformance Comparison of LDPC Block and Spatially Coupled Codes over GF(q)
In this paper, we compare the finite-length performance of protograph-based spatially coupled lowdensity parity-check (SC-LDPC) codes and LDPC block codes (LDPC-BCs) over GF(q). In order to reduce computational complexity and latency, a sliding window decoder with a stopping rule based on a soft bit-error-rate (BER) estimate is used for the q-ary SC-LDPC codes. Two regimes are considered: one w...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007