Coding Theorem for Stationary, Asymptotically Memoryless, Continuous-time Channels
نویسندگان
چکیده
منابع مشابه
Coding and decoding for time-discrete amplitude-continuous memoryless channels
In this report we consider some aspects of the general problem of encoding and decoding for time-discrete, amplitude-continuous memoryless channels. The results can be summarized under three main headings. 1. Signal Space Structure: A scheme for constructing a discrete signal space, for which sequential encoding-decoding methods are possible for the general continuous memoryless channel, is des...
متن کاملLecture 7 : Channel coding theorem for discrete - time continuous memoryless channel
Let us first define, for the random sequences X = [X1, . . . , Xn] and Y = [Y1 . . . , Yn] and their corresponding sequence realizations x = [x1, . . . , xn] and y = [y1 . . . , yn] where xk, yk ∈ R, the following probability density functions (pdfs): fX(x) ∆ = ∏n k=1 fX(xk) as the input pdf, fY |X(y|x) = ∏n k=1 fY |X(yk|xk) as the memoryless channel (transition) pdf, and fY (y) as the output p...
متن کاملNoiseless coding theorem proved by induction for finite stationary memoryless information sources
Noiseless coding theorem for finite stationary memoryless information sources is proved by using induction on the number of source symbols and the inequality of geometric and harmonic means.
متن کاملLow-complexity sequential lossless coding for piecewise-stationary memoryless sources
Three strongly sequential, lossless compression schemes, one with linearly growing per-letter computational complexity, and two with fixed per-letter complexity, are presented and analyzed for memoryless sources with abruptly changing statistics. The first method, which improves on Willems’ weighting approach, asymptotically achieves a lower bound on the redundancy, and hence is optimal. The se...
متن کاملOn Two Strong Converse Theorems for Stationary Discrete Memoryless Channels
In 1973, Arimoto proved the strong converse theorem for the discrete memoryless channels stating that when transmission rate R is above channel capacity C, the error probability of decoding goes to one as the block length n of code word tends to infinity. He proved the theorem by deriving the exponent function of error probability of correct decoding that is positive if and only if R > C. Subse...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1972
ISSN: 0003-4851
DOI: 10.1214/aoms/1177692392