Castagna, John P.2013-02-062013-02-06May 20122012-05http://hdl.handle.net/10657/ETD-UH-2012-05-389This dissertation describes a new method called Constrained Least-Squares Spectral Analysis (CLSSA), an inversion-based algorithm for computing the time-frequency analysis of reflection seismograms. CLSSA is formulated and applied to modeled seismic waveforms and real seismic data. The Fourier Series coefficients are computed as a function of time directly by inverting a basis of truncated sinusoidal kernels for a moving time window. The method results in spectra that have reduced window smearing for a given window length relative to the Discrete Fourier Transform irrespective of window shape, and a time-frequency analysis with a combination of time and frequency resolution that is superior to both the Short-time Fourier Transform and the Continuous Wavelet Transform. The reduction in spectral smoothing enables better determination of the spectral characteristics of interfering reflections within a short window. The degree of resolution improvement relative to the Short-time Fourier Transform increases as window length decreases. As compared to the Continuous Wavelet Transform, the method has greatly improved temporal resolution, particularly at low frequencies.application/pdfengThe author of this work is the copyright owner. UH Libraries and the Texas Digital Library have their permission to store and provide access to this work. Further transmission, reproduction, or presentation of this work is prohibited except with permission of the author(s).SeismicAttributesSpectral analysisGeophysics2013-02-06Thesisborn digital