Digital filters, Mathematics, Signal processing, Digital techniques
When a filter transfer function in s is replaced with the bilinear transform in z, the resulting discrete model represents the original continuous model within a second order accuracy of integration. A unique set of recently discovered minimum memory algorithms that perform the bilinear transform on a continuous transfer function are implemented on an INTEL 8080 microprocessor system. Scaling techniques are used to frequency scale all transfer functions to a standardized frequency. All data words are represented in a signed binary double precision format to maintain higher calculation speed and accuracy. Three test case transfer functions of different order are implemented using the bilinear transform algorithms. First, the algorithms are used to generate the three discrete models. Second, the continuous time models are driven by a step input function, generating a continuous time output. Third, the step function input is discretized and used to drive the bilinear algorithm derived models. Finally, the discrete outputs are compared with the continuous time outputs to validate and evaluate the software techniques used to implement the bilinear algorithms, which imply that the techniques provide a basis for new hardware designs.
Simons, Fred O., Jr.
Master of Science (M.S.)
College of Engineering
v, 78 pages
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Masters Thesis (Open Access)
Digital filters (Mathematics), Signal processing -- Digital techniques
Storma, William Edward, "A Microcomputer Implementation of Real Time, Continuously Programmable Digital Filters" (1979). Retrospective Theses and Dissertations. 450.