Digital filter design and applications

Signal filtering, is frequently used at data communication, biomedical systems, military and civilian electronic systems, industrial applications in which different variety of signal processing techniques are applied. In this study, ?Discrete Fourier Transformation?, the most important foundation support of the digital signal processing, will be inquired. In order to overcome the time localization problem of Fourier Transform ?Short Time Fourier Transform? and with the distinct property of adaptive time scaling with respect to frequency ?Wavelet Transform? will be introduced respectively.With the theoretical foundations of digital IIR filters, interactive digital filter design program will be developed at MATLAB® environment. At the second stage with the knowledge of optimal Wiener filter design techniques, as an example of real life problems, it is aimed to design a program which extracts fetal ECG from mother ECG signal and other noise sources. Noise at the extracted results will be cancelled by wavelet methods and for the accuracy of the compared results some performance criteria developed and interpreted.