[mus422] Alternate quantization algorithm

[Colin Raffel]

Here is a pdf version.

-Colin

-------------- next part --------------
A non-text attachment was scrubbed...
Name: 420quantize.pdf
Type: application/pdf
Size: 25830 bytes
Desc: not available
Url : http://cm-mail.stanford.edu/pipermail/422/attachments/20100118/3c9f09bb/attachment-0001.pdf 
-------------- next part --------------



On Jan 18, 2010, at 1:20 AM, Craig Sapp wrote:

> Hi Music 422 Class,
>
> Here is the first slide with the altered quantization algorithm from
> Friday's class.  I didn't copy down all of the second slide for the
> complimentary dequantizing algorithm, but that should be posted
> soon...
>
> Using LaTeX syntax below, where text between $$ are equations/ 
> variables.
>
> ===================================================================
>
> To convert from a number into a scale/mantissa floating point code
> with $R_s$ scale (exponent) bits and $R_m$ mantissa bits.  $s$
> represents the sign bit (0 = positive, 1 = negative) which is the most
> significant bit of the mantissa.
>
> I. Quantize the number as an $R_u$-bit uniform quantization code where
> $R_u = 2^{R_s}-1+R{m}$.
>
> II. Count the number of leading zeros in the resulting uniform
> quantization code, excluding the sign bit, $s$.  If the number of
> leading zeros is less than $2^{R_s}-1$, then set the scale equal to
> the number of leading zeros; otherwise, set the scale equal to
> $2^{R_s}-1$.
>
> III.  If the scale is equal to $2^{R_s}-1$, then set the first
> mantissa bit equal to $s$, and set the remaining $R_m-1$ bits equal to
> the bits following the $2^{R_s}-1$ leading zeros in |code|; otherwise,
> set the first mantissa bit equal to $s$, and set the remaining
> ${R_m}-1$ bits equal to the bits following the leading zeros, {\emph
> omitting the leading one}.
>
> ======================================================================
>
> -=+Craig
>
> _______________________________________________
> 422 mailing list
> 422 at ccrma.stanford.edu
> http://cm-mail.stanford.edu/mailman/listinfo/422