Reply by Randy Yates December 8, 20082008-12-08
Thomas Arildsen <tha.es-aau-dk@spamgourmet.com> writes:
> [...] > However, they do not seem to mention the gain part of the model I am > considering...
Just move the gain ahead of the quantizer into its own block: x -> a*x -> q(a*x) -- % Randy Yates % "Ticket to the moon, flight leaves here today %% Fuquay-Varina, NC % from Satellite 2" %%% 919-577-9882 % 'Ticket To The Moon' %%%% <yates@ieee.org> % *Time*, Electric Light Orchestra http://www.digitalsignallabs.com
Reply by Thomas Arildsen December 8, 20082008-12-08
On Mon, 08 Dec 2008 11:11:04 +0000, Thomas Arildsen wrote:

> Does anyone know some examples where quantization is modeled by a linear > model as follows: > y = Q(x), > modeled as > y = a*x + q, > where q is an additive noise, preferably white Gaussian. See the > following paper for an example: > > Fletcher, A.; Rangan, S.; Goyal, V. & Ramchandran, K. Robust Predictive > Quantization: Analysis and Design Via Convex Optimization Selected > Topics in Signal Processing, IEEE Journal of, 2007, 1, 618-632 > > I am trying to find other examples of the use of this kind of quantizer > model. > Best regards, > > Thomas Arildsen
It turns out that good old Jayant & Noll have a description of the model: Jayant, N. S. & Noll, P. Digital Coding of Waveforms - Principles and Applications to Speech and Video Prentice Hall, 1984 Thomas Arildsen -- All email to sender address is lost. My real adress is at arildsen dot org for user thomas.
Reply by Thomas Arildsen December 8, 20082008-12-08
On Mon, 08 Dec 2008 03:26:28 -0800, Rune Allnor wrote:

> On 8 Des, 12:11, Thomas Arildsen <tha.es-aau...@spamgourmet.com> wrote: >> Does anyone know some examples where quantization is modeled by a >> linear model as follows: >> &nbsp; y = Q(x), >> modeled as >> &nbsp; y = a*x + q, >> where q is an additive noise, preferably white Gaussian. > > It's been 15 years since I last looked up these things, but I'm pretty > sure I saw it done like this in the book by Gersho & Gray: > > http://www.amazon.com/Quantization-Compression-Springer-International-
Engineering/dp/0792391810/ref=sr_1_1?ie=UTF8&s=books&qid=1228735331&sr=8-1
> > Check out this or similar books in your local library. > > Rune
Thanks. I have Gersho & Gray. I am flipping through just now. What I can find is the "Additive Noise Model of Quantization" on pp. 148-150. However, they do not seem to mention the gain part of the model I am considering... Thomas Arildsen -- All email to sender address is lost. My real adress is at arildsen dot org for user thomas.
Reply by Rune Allnor December 8, 20082008-12-08
On 8 Des, 12:11, Thomas Arildsen <tha.es-aau...@spamgourmet.com>
wrote:
> Does anyone know some examples where quantization is modeled by a linear > model as follows: > &#2013266080; y = Q(x), > modeled as > &#2013266080; y = a*x + q, > where q is an additive noise, preferably white Gaussian.
It's been 15 years since I last looked up these things, but I'm pretty sure I saw it done like this in the book by Gersho & Gray: http://www.amazon.com/Quantization-Compression-Springer-International-Engineering/dp/0792391810/ref=sr_1_1?ie=UTF8&s=books&qid=1228735331&sr=8-1 Check out this or similar books in your local library. Rune
Reply by Thomas Arildsen December 8, 20082008-12-08
Does anyone know some examples where quantization is modeled by a linear 
model as follows:
  y = Q(x),
modeled as
  y = a*x + q,
where q is an additive noise, preferably white Gaussian.
See the following paper for an example:

Fletcher, A.; Rangan, S.; Goyal, V. & Ramchandran, K. Robust Predictive 
Quantization: Analysis and Design Via Convex Optimization Selected Topics 
in Signal Processing, IEEE Journal of, 2007, 1, 618-632

I am trying to find other examples of the use of this kind of quantizer 
model.
Best regards,

Thomas Arildsen
-- 
All email to sender address is lost.
My real adress is at arildsen dot org for user thomas.