Use of Transversal-Recursive Structures for Efficient Realization of Low-Noise Digital Filters with Decimated Output

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)22_Publication in policy or professional journal

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Original languageEnglish
Pages (from-to)645-651
Journal / PublicationIEEE Transactions on Acoustics, Speech, and Signal Processing
Issue number6
Publication statusPublished - 1980
Externally publishedYes


For fixed-point realizations of narrow-band digital filters, the normal form is significantly less sensitive to roundoff error than either parallel or cascade direct forms. However, the normal form requires more multipliers. This disadvantage can be overcome in filters with decimated output by the use of nonminimal transversal-recursive structures derived from the normal form. These structures can reduce the required multiplication rates to values below those required for direct form realizations while, at the same time, further reducing roundoff noise. In addition, these structures will not support overflow limit cycles and will either suppress or reduce the amplitude of roundoff limit cycles. These effects are illustrated with a numerical example of a sixth-order low-pass filter. The effects of multiplier coefficient quantization in these nonminimal structures are also illustrated in the numerical example. © 1980 IEEE

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