@article{(Open Science Index):https://publications.waset.org/pdf/14174,
	  title     = {Wiener Filter as an Optimal MMSE Interpolator},
	  author    = {Tsai-Sheng Kao},
	  country	= {},
	  institution	= {},
	  abstract     = {The ideal sinc filter, ignoring the noise statistics, is often
applied for generating an arbitrary sample of a bandlimited signal by
using the uniformly sampled data. In this article, an optimal interpolator is proposed; it reaches a minimum mean square error (MMSE)
at its output in the presence of noise. The resulting interpolator is
thus a Wiener filter, and both the optimal infinite impulse response
(IIR) and finite impulse response (FIR) filters are presented. The
mean square errors (MSE-s) for the interpolator of different length
impulse responses are obtained by computer simulations; it shows that
the MSE-s of the proposed interpolators with a reasonable length are
improved about 0.4 dB under flat power spectra in noisy environment with signal-to-noise power ratio (SNR) equal 10 dB. As expected,
the results also demonstrate the improvements for the MSE-s with various fractional delays of the optimal interpolator against the ideal
sinc filter under a fixed length impulse response.},
	    journal   = {International Journal of Electronics and Communication Engineering},
	  volume    = {1},
	  number    = {6},
	  year      = {2007},
	  pages     = {950 - 952},
	  ee        = {https://publications.waset.org/pdf/14174},
	  url   	= {https://publications.waset.org/vol/6},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 6, 2007},
	}