[comp.dsp] Quadrature Mirror Filters

jrn@me.utoronto.ca ("John R. Nickerson") (10/05/89)

>jj@alice.UUCP (alice!jj) writes:

>The original paper on the subject (as far as I know)
>from the original patent holders, is Esteban and Galand, "Application
>of Quadrature Mirror Filters to Split Band Voice Coding
>Schemes", proc ASSP 1977, pp 191-195.

	This work opened the door for a plethora of papers on
split band vocoders. I was involved with algorithm development
for these devices (for a small now defunct company) although 
now I am now interested in QMF's for musical processing.

>For an explanatory reference, see Jayant and Noll,
>"Digital Coding of Waveforms", Pages 496 to 499.  

	Lovely book, wish I could afford it.

>For an ICASSP-level discussion, see J D. Johnston,
>"A Filter Family Designed for Use in Quadrature Mirror
>Filter Banks", Proc. ICASSP 1980, pp291-294.  This paper
>also has some coefficients in case you don't want to design
>your own.

	I tried designing my own and found it was a real bear since
the Method described by J.D. Johnston is open loop ( ie. operator
intervention) with the Hooke and Jeaves Algorithm which I obtained
from Huester, J.L., Mize, J.H., "Optimization Techniques with Fortran",
McGraw-Hill, N.Y. 1973. Some day I would like to try this again with
a more modern optimization algorithm.

>R. V. Cox has done an 'n' band (n .ge. 2) version,
>in ASSP Transactions, Vol ASSP-34 #5, Oct 86, pp 1090-1096,
>"The Design of Uniformly and Non-uniformly spaced Pseudo-Quadrature
>Mirror Filters". 

	I took a look through a collection of papers on the subject and
found a couple of others that may help especialy in the generation
of the coefficients:

	Rothweiller, J.H., "Polyphase Quadrature Filters. A New Subband
	     Coding Technique", Proc. 1983 IEEE Conf. on ASSP pp. 1280-1283.

	Nussbaumer, H.J., Vetterli, M., "Pseudo Quadrature Mirror Filters",
	     in Digital Signal Processing-84, edited by V. Cappellini and
	     A.G. Constantinides, Elsevier Science Publishers B.V., 1986
	     pp. 8-11.


		Hope this helps,


							J.R.


-- 
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John R. Nickerson, University of Toronto (416) 978-7020
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