@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}, }