A study of the quantization procedure : higher order information and the conditions for minimum error Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/bn999876c

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  • Quantization is a non-linear operation of converting a continuous signal into a discrete one, assuming a finite number of levels N. A study is made of the quantization procedure, starting from the year 1898 to the present time. Conditions for minimum error are derived with consideration of quantization in magnitude and time. An extension of the Mehler and Carlitz formulas involving Hermitian polynomials (quadrilinear case) has been created. Further, investigation is conducted toward obtaining an autocorrelation function of the output of the quantizer for Gaussian input. The method calls for the use of two different forms of the Euler-Maclaurin sum formulas and results are derived for a hard limiter, linear detector, clipper, and a smooth limiter. The method lends itself to the extension to the non-uniform case.
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  • description.provenance : Submitted by Nitin Mohan (mohanni@onid.orst.edu) on 2010-08-11T21:51:11Z No. of bitstreams: 1 JumaniVishnuBalchand1973.pdf: 604237 bytes, checksum: 26b67460f849ecc232fa001b8b875910 (MD5)
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  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2010-08-12T17:05:16Z (GMT) No. of bitstreams: 1 JumaniVishnuBalchand1973.pdf: 604237 bytes, checksum: 26b67460f849ecc232fa001b8b875910 (MD5)

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