摘要: This paper introduces a new redundant number system, the adjunctive numerical relation (ANR) codes, which offer improvements over other well known systems such as the Fibonacci, Lucas, and the Prime number systems when used in mul... 展开 This paper introduces a new redundant number system, the adjunctive numerical relation (ANR) codes, which offer improvements over other well known systems such as the Fibonacci, Lucas, and the Prime number systems when used in multimedia data hiding applications. It will be shown that this new redundant number system has potential applications in digital communications, signal, and image processing. the paper will also offer two illustrative applications for this new redundant coding system. First an enhanced bit-plane decomposition of image formatted files with data embedding (steganography and watermarking). Secondly, an example of an expanded bit-line decomposition of audio formatted files with data embedding and index-based retrieval capability will be described. The computer simulations will detail the statistical stability required for effective data encoding techniques and demonstrate the improvements in the embedding capacity in multimedia carriers. 收起