Fahrenheit Thermoscope LLC

France T&eacute;l&eacute;com

Marylin Arndt

Luis Montalvo

The invention concerns a complex number multiplier receiving the binary number A, B, C and D complimentarily coded in pairs so as to perform the complex multiplication (A+jB)*(C+jD). A first processing stage enables to perform the operations A&#x2212;B, C&#x2212;D, and A+B whereof the results are binary numbers in base two with a redundant binary format, and a borrow-save coding for subtractions and carry-save coding for addition. A second processing stage converts said results into coded binary numbers in base four. A third processing stage enables to perform multiplication (A&#x2212;B)C, (C&#x2212;D)B and (A+B)D with a redundant binary format and a borrow-save coding. A last stage comprises two adders for working out the real part (A&#x2212;B)C+(C&#x2212;D)B and the imaginary part (A+B)D+(C&#x2212;D)B in a redundant binary format and a borrow-save coding.

Complex number multiplier

The invention concerns a complex number multiplier receiving the binary number A, B, C and D complementarily coded in pairs so as to perform the complex multiplication (A&plus;jB)*(C&plus;jD). A first processing stage enables to perform the operations A&minus;B, C&minus;D, and A&plus;B whereof the results are binary numbers in base two with a redundant binary format, and a borrow-save coding for subtractions and carry-save coding for addition. A second processing stage converts said results into coded binary numbers in base four. A third processing stage enables to perform multiplication (A&minus;B)C, (C&minus;D)B and (A&plus;B)D with a redundant binary format and a borrow-save coding. A last stage comprises two adders for working out the real part (A&minus;B)C&plus;(C&minus;D)B and the imaginary part (A&plus;B)D&plus;(C&minus;D)B in a redundant binary format and a borrow-save coding.

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Biviers, France

Marylin Arndt