Method for implementing a multiplier-less FIR filter

Details Method for implementing a multiplier-less FIR filter Method for implementing a multiplier-less FIR filter

2006-05-30

2006-05-30

Malzahn, D. H. (Department: 2193)

Electrical computers: arithmetic processing and calculating

Electrical digital calculating computer

Particular function performed

Reexamination Certificate

active

07054896

ABSTRACT:
A method for implementing a multiplier-less FIR filter is disclosed, in which the FIR filter performs the convolution ofH⁡(z)=∑k=0N-1⁢⁢hk⁢z-k,where hkis the k-th coefficient of the FIR filter. The dynamic range of the filter coefficients is compressed by a transformation:H′⁡(z)=H⁡(z)⁢∏i=1m-1⁢⁢(1+αi⁢z-β)m∏i=1m-1⁢⁢(1+αi⁢z-β)m,where parameters α and β are chosen depending on filter type, −1≦αi≦1, and m denotes iteration numbers of coefficient operation of transformation, so as to avoid the serious quantization error caused by the phenomenon of SPT distribution. Then, the compressed coefficients are quantized into SPT numbers, and the coefficients are optimized by removing redundant STP numbers.

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Sumant Ramprasad, Naresh R. Shanbhag; Member, IEEE, and Ibrahim N. Fellow, IEEE; “Decorrelating (DECOR) Transformations For Low-Power Digital Filters”; pp. 776-778; IEEE Transactions On Circuits And System II; Analog And Digital Signal Processing; vol. 46, No. 6, Jun. 1999.
Chao-Liang Chen, Student Member, IEEE and Alan N. Wilson Jr., Fellow, IEEE; “A Trellis Search Algorithm For The Design Of FIR Filters With Signed-Power-Of-Two Coefficients”; pp. 29-39; IEEE Transactions On Circuits And Systems—II; Analog And Digital Signal Processing; vol. 46, No. 1, Jan. 1999.

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