Five-by-three wavelet transform apparatus

Multiplex communications – Generalized orthogonal or special mathematical techniques – Fourier transform

Reexamination Certificate

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C370S203000, C382S260000, C375S240180

Reexamination Certificate

active

10374633

ABSTRACT:
In a 5×3 wavelet transform apparatus, a function-A module (11) calculates equations A1 and A2, a function-B module (12) calculates equations B1 and B2, function-C0 module (13) calculates an equation C0, and a function-C1 module (14) calculates an equation C1. Selectors have terminals thereof set to “1” for a forward transform, and to “0” for an inverse transform. The equations A1 and B1 are applied for reversible transform, and A2 and B2 are applied for irreversible transform. The aforementioned equations are as follows:in-line-formulae description="In-line Formulae" end="lead"?Aout=RoundOff {(Ain0+Ain1+0×2000)>>2}. A1in-line-formulae description="In-line Formulae" end="tail"?in-line-formulae description="In-line Formulae" end="lead"?Aout=0.25*(Ain0+Ain1). A2in-line-formulae description="In-line Formulae" end="tail"?in-line-formulae description="In-line Formulae" end="lead"?Bout=RoundOff(Bin0+Bin1). B1in-line-formulae description="In-line Formulae" end="tail"?in-line-formulae description="In-line Formulae" end="lead"?Bout=0.5*(Bin0+Bin1). B2in-line-formulae description="In-line Formulae" end="tail"?in-line-formulae description="In-line Formulae" end="lead"?C0out=C0in0+C1in1. C0in-line-formulae description="In-line Formulae" end="tail"?in-line-formulae description="In-line Formulae" end="lead"?C1out=C0in0−C1in1. C1.in-line-formulae description="In-line Formulae" end="tail"?

REFERENCES:
patent: 6873734 (2005-03-01), Zandi et al.
patent: 2001/0033620 (2001-10-01), Itokawa

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