2016/07/25 by Weihua Hu, Hu, Weihua, H. Yamamoto +4
Computer Science · Engineering · Mathematics · #Advanced Wireless Communication Techniques #Algorithms and Data Compression #Error Correcting Code Techniques #FOS: Computer and information sciences #Information Theory (cs.IT) #cs.IT #math.IT
paper · pdf · doi:10.48550/arxiv.1607.07247
IEEE Transactions on Information Theory, vol.63, no.8, pp.5074-5086, Aug. 2017
openalex publication_date 2016/07/25 · openalex created_date 2016/08/23 · arxiv created 2017/08/01 · arxiv updated 2017/08/02 · openalex updated_date 2026/07/28
Binary AIFV codes are lossless codes that generalize the class of instantaneous FV codes. The code uses two code trees and assigns source symbols to incomplete internal nodes as well as to leaves. AIFV codes are empirically shown to attain better compression ratio than Huffman codes. Nevertheless, an upper bound on the redundancy of optimal binary AIFV codes is only known to be 1, which is the same as the bound of Huffman codes. In this paper, the upper bound is improved to 1/2, which is shown to coincide with the worst-case redundancy of the codes. Along with this, the worst-case redundancy is derived in terms of pmax≥1/2, where pmax is the probability of the most likely source symbol. Additionally, we propose an extension of binary AIFV codes, which use m code trees and allow at most m-bit decoding delay. We show that the worst-case redundancy of the extended binary AIFV codes is 1/m for m ≤ 4.