Spectrum-oriented source coding theory. (English) Zbl 0658.94007

Author’s abstract: In this paper we present rigorous mathematical foundations of source coding theory with spectral distances at the place of distortion measures. Such a theory is applicable e.g. in speech coding. We prove a new general joint source/channel coding theorem which is of theoretical as well as of practical importance. We also establish correctness of some frequently used conclusions and procedures for which semirigorous “proofs” are known to the authors only, or the rigorous proofs are too scattered in the literature. The theory presented in this paper is oriented not only to recipients of speech signals but to all users concerned about the spectral structure of signals rather than about signals as such.
Reviewer: A.Sgarro


94A29 Source coding
94A34 Rate-distortion theory in information and communication theory
94A12 Signal theory (characterization, reconstruction, filtering, etc.)
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