Graduate Thesis Or Dissertation
 

Frequency domain deconvolution

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https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/rf55zb895

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  • Frequency domain design of deconvolution filters is studied using Fast Fourier Transform. Filters for both the spike and the Gaussian reflector wavelet are obtained. True deconvolution filters are infinitely long IIR filters, and frequency domain analysis is an effective way of finding its optimum finite length approximation for an arbitary given filter length. The Gaussian waveform and its Discrete Fourier Transform has several desirable characteristics that make it a good choice as a reflector wavelet. Basic wavelets with zeros on the unit circle results in spike inverse filters that are quasistable and infinitely long. By circularly shifting the Gaussian FFT sequence it is possible, depending on the location of the zeros, to find Gaussian inverse filters that are much shorter than the corresponding spike inverse filters.
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