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Error Feedback for Reduction of Quantization Errors Due to Arithmetic Operationsin Recursive Digital Filters

机译:在递归数字滤波器中减少由于算术运算引起的量化误差的误差反馈

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The subject of the thesis is the design and implementation of error feedback forreducing quantization errors due to arithmetic operations in recursive digital filters. First, the authors shortly survey the many fields of applications of error feedback. Then they focus on the implementation of recursive filters and on the various ways of using error feedback to reduce quantization errors, apparently random roundoff noise in normal operation, and autonomous (limit cycle) oscillations in the case of zero input. Both fixed-point and floating-point arithmetic are considered. Also the suppression of overflow oscillations by means of overflow-error feedback is investigated. Implementation with signal processors and with modern Very Large Scale Integration (VLSI) techniques is discussed. Finally, the results of the publications of the thesis are summarized and discussed. It is concluded that error feedback is a powerful and flexible method for suppressing quantization and overflow errors in the implementation of recursive digital filters and is particularly well suited for use in signal processors. The results of the thesis can directly be applied to practical engineering problems to implement well-behaved recursive digital filters.

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