Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Low density parity check (LDPC) lattices re the first family of lattices equipped with iterative decoding algorithms.  introduce quasi-cyclic LDPC (QC LDPC) lattices as a special case of LDPC lattices with one binary QC-LDPC code as their underlying code. These lattices are obtained from the Construction A of lattices providing us to encode them efficiently using shift registers. To benefit from an encoder with linear complexity in the lattice dimension,  obtain the generator matrix of these lattices in  quasi-cyclic  form.  generalize the proposed quasi-cyclic form of the generator matrix for other Construction A lattices, namely the LDA lattices, with a non-binary QC-LDPC code as their underlying code.  provide a low-complexity decoding algorithm of QC LDPC-lattices based on the sum product algorithm. To design lattice codes, QC LDPC-lattices are combined with the nested lattice shaping that uses the Voronoi region of a sublattice for shaping. The shaping gain and the shaping loss of our lattice codes with dimensions 40, 50, and 60 using an optimal quantizer, are presented. The guidelines for applying efficient shaping methods, like hypercube shaping, for QC LDPC-lattices are also given. Consequently,  establish a family of lattice codes that perform practically close to the sphere bound.
['Hassan Khodaiemehr', 'Mohammad-Reza Sadeghi', 'Amin Sakzad']
I am writing a research paper on a idea Practical Encoder and Decoder for Power Constrained QC LDPC-Lattice Codes
[{"from": "human", "value": "I am writing a research paper on a idea Practical Encoder and Decoder for Power Constrained QC LDPC-Lattice Codes"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Low density parity check (LDPC) lattices re the first family of lattices equipped with iterative decoding algorithms.  introduce quasi-cyclic LDPC (QC LDPC) lattices as a special case of LDPC lattices with one binary QC-LDPC code as their underlying code. These lattices are obtained from the Construction A of lattices providing us to encode them efficiently using shift registers. To benefit from an encoder with linear complexity in the lattice dimension,  obtain the generator matrix of these lattices in  quasi-cyclic  form.  generalize the proposed quasi-cyclic form of the generator matrix for other Construction A lattices, namely the LDA lattices, with a non-binary QC-LDPC code as their underlying code.  provide a low-complexity decoding algorithm of QC LDPC-lattices based on the sum product algorithm. To design lattice codes, QC LDPC-lattices are combined with the nested lattice shaping that uses the Voronoi region of a sublattice for shaping. The shaping gain and the shaping loss of our lattice codes with dimensions 40, 50, and 60 using an optimal quantizer, are presented. The guidelines for applying efficient shaping methods, like hypercube shaping, for QC LDPC-lattices are also given. Consequently,  establish a family of lattice codes that perform practically close to the sphere bound."}]