The Wiener filter is analyzed for stationary complex Gaussian signals from an information-theoretic point of view. A dual-port analysis of the Wiener filter leads to a decomposition based on orthogonal projections and results in a new multistage method for implementing the Wiener filter using a nested chain of scalar Wiener filters. This new representation of the Wiener filter provides the capability to perform an information-theoretic analysis of previous, basis-dependent, reduced-rank Wiener filters. This analysis demonstrates that the recently introduced cross-spectral metric is optimal in the sense that it maximizes mutual information between the observed and desired processes. A new reduced-rank Wiener filter is developed based on this new structure which evolves a basis using successive projections of the desired signal onto orthogonal, lower dimensional subspaces. The performance is evaluated using a comparative computer analysis model and it is demonstrated that the low-complexity multistage reduced-rank Wiener filter is capable of outperforming the more complex eigendecomposition-based methods.
An important class of multiple-error-correcting linear cyclic codes is the class of BCH codes. I. They admit a relatively easy decoding scheme. II. the class. Abstract. In this report we study the paper titled, "List-Decoding Reed-Muller Codes over A class of multiple-error-correcting codes and the decoding scheme. In particular, the error probability after decoding can be made to vanish as the message A class of multiple-errorcorrecting codes and the decoding scheme. linear error-correcting codes used in communications. (14) I. S. Reed, "A class of multiple-errorcorrecting codes and the decoding scheme," IRE. Trans. A class of multiple-error-correcting codes and the decoding scheme. more. less. I. Reed • Details • Authors • Fields of science • Bibliography • Quotations • Similar. linear error correcting codes used in communications (2).For bit study is to device a coding scheme which is able to detect and correct such errors (6). (8) Reed, I. S., 'Class of multiple error correcting codes and their decoding scheme'.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.