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Full-Text Articles in Physical Sciences and Mathematics
Triple Trigonometric Series And Their Application To Mixed Boundary Value Problems, Gordon Melrose
Triple Trigonometric Series And Their Application To Mixed Boundary Value Problems, Gordon Melrose
Mathematics & Statistics Theses & Dissertations
In this dissertation the author investigates some triple trigonometric series which occur in the solution of mixed boundary value problems in elasticity and potential theory. By choosing a suitable integral representation for the sequence of unknown constants, the problem is reduced to solving a singular integral equation of the first kind. Twenty four cases in which the integral equation can be solved in closed form are discussed in detail.
In later chapters, the application of triple trigonometric series to problems in physics and engineering is demonstrated and closed form solutions for the physical parameters of interest are obtained.
Block Transform Coding Of Presample Filtered Data, Thomas A. Shull
Block Transform Coding Of Presample Filtered Data, Thomas A. Shull
Electrical & Computer Engineering Theses & Dissertations
This dissertation addresses the application of non-adaptive transform coding for bit rate reduction of presampled filtered data. Transform coding is examined as an alternative to conventional pulse code modulation (PCM) for multi-source, fixed rate data acquisition systems. Typical bandlimiting presample filters introduce redundancy into the sequence of data samples. Linear transformation of successive N-length blocks of the data sequence and subsequent binary coding of the resulting components is shown to lead to reduced average bit rate for the same less distortion as PCM.
Four Butterworth filters, two corresponding to eight bit PCM systems, and two corresponding to ten bit PCM …