T. Linder et al., EMPIRICAL QUANTIZER DESIGN IN THE PRESENCE OF SOURCE NOISE OR CHANNELNOISE, IEEE transactions on information theory, 43(2), 1997, pp. 612-623
Citations number
36
Categorie Soggetti
Information Science & Library Science","Engineering, Eletrical & Electronic
The problem of vector quantizer empirical design for noisy channels or
for noisy sources is studied, It is shown that the average squared di
stortion of a vector quantizer designed optimally from observing clean
independent and identically distributed (i.i.d.) training vectors con
verges in expectation, as the training set size grows, to the minimum
possible mean-squared error obtainable for quantizing the clean source
and transmitting across a discrete memoryless noisy channel, Similarl
y, it is shown that if the source is corrupted by additive noise, then
the average squared distortion of a vector quantizer designed optimal
ly from observing i.i.d. noisy training vectors converges in expectati
on, as the training set size grows, to the minimum possible mean-squar
ed error obtainable for quantizing the noisy source and transmitting a
cross a noiseless channel, Rates of convergence are also provided.