Digital multirate filtering

Electrical computers: arithmetic processing and calculating – Electrical digital calculating computer – Particular function performed

Reexamination Certificate

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C708S714000

Reexamination Certificate

active

07321913

ABSTRACT:
A method of determining filter coefficients for filter stages in a multirate digital filter device to achieve a desired filter response. The method includes the step of determining a first plurality of evenly spaced sample points representing the desired response function on a logarithmic time scale, such that the sample points of the first plurality have an increasing spacing when viewed in a linear time scale. The method further includes the step determining filter coefficients for each filter stage from an associated group of sample points out of the first plurality of sample points.

REFERENCES:
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patent: 6680972 (2004-01-01), Liljeryd et al.
D.B. Keele, Jr. “Log Sampling in Time and Frequency: Preliminary Theory and Application.” Proceedings of the 97th Convention of the Audio Engineering Society (Nov. 10-13, 1994). San Francisco, CA.
Pseudoinverse, from Wikipedia, available at en.wikipedia.org/wiki/Pseudo—inverse retrieved on Aug. 22, 2007.
Weisstein, Eric W. “Moore-Penrose Matrix Inverse.” From MathWorld—A Wolfram Web Resource, available at mathworld.wolfram.com/Moore-PenroseMatrixInverse.html retrieved on Aug. 22, 2007, 2007.

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