Özyineli izdüşümler kullanarak kısmi kesirli Fourier dönüşümü bilgisinden işaret geri kazanımı ve darbe şekli tasarımı

Signal design and recovery problems come up in a wide variety of applications in sig-nal processing. In this thesis, we first investigate the problem of pulse shape designfor use in communication settings with matched filtering where the rate of communi-cation, intersymbol interference, and bandwidth of the signal constitute conflictingthemes. In order to design pulse shapes that satisfy certain criteria such as bit rate,spectral characteristics, and worst case degradation due to intersymbol interference,we benefit from the wellknown Projections Onto Convex Sets. Secondly, we inves-tigate the problem of signal recovery from partial information in fractional Fourierdomains. Fractional Fourier transform is a mathematical generalization of the ordi-nary Fourier transform, the latter being a special case of the first. Here, we assumethat low resolution or partial information in different fractional Fourier transformdomains is available in different intervals. These information intervals define convexsets and can be combined within the Projections Onto Convex Sets framework. Wepresent generic scenarios and simulation examples in order to illustrate the use ofthe method.Keywords: Projections onto convex sets, fractional Fourier transform, iterative signaldesign, iterative signal recovery.4