An analysis of frequency distortion in digital filter design.
Howard, James Willoughby
Parker, Sydney R.
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The theory and background of the algebraic substitution synthesis method for the digital filters from continuous filter characterizations is presented with emphasis on the frequency distortion phenomenon. An analysis of the Forward Euler, Backward Euler and Trapezoidal numerical integration algorithms is undertaken and appropriate transformations are obtained. A general integration formula, encompassing the above algorithms as special cases, is analyzed and its application to the synthesis problem is pointed out. Direct transformations for discrete filter frequency response characteristics from continuous filter characterizations are derived.
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