### Abstract

Computer operations involving complex numbers, essential in such applications as digital signal processing and image processing, are usually performed in a "divide-and-conquer" approach dealing separately with the real and imaginary parts and then accumulating the results. There have been several proposals to treat complex numbers as a single unit but all seem to have floundered on the basic problem of the division process without which, of course, it is impossible to carry out all but the most basic arithmetic. This paper resurrects an early proposal to express complex numbers in a single "binary" representation and provides a fail-safe procedure for obtaining the quotient of two complex numbers expressed in this representation.

Original language | English |
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Title of host publication | Conference Proceedings - IEEE SOUTHEASTCON |

Pages | 188-195 |

Number of pages | 8 |

Publication status | Published - 2001 |

Event | IEEE SoutheastCon 2001 - Clemson, SC, United States Duration: Mar 30 2001 → Apr 1 2001 |

### Other

Other | IEEE SoutheastCon 2001 |
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Country | United States |

City | Clemson, SC |

Period | 3/30/01 → 4/1/01 |

### Fingerprint

### ASJC Scopus subject areas

- Electrical and Electronic Engineering

### Cite this

*Conference Proceedings - IEEE SOUTHEASTCON*(pp. 188-195)

**Efficient division in the binary representation of complex numbers.** / Blest, D. C.; Jamil, T.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Conference Proceedings - IEEE SOUTHEASTCON.*pp. 188-195, IEEE SoutheastCon 2001, Clemson, SC, United States, 3/30/01.

}

TY - GEN

T1 - Efficient division in the binary representation of complex numbers

AU - Blest, D. C.

AU - Jamil, T.

PY - 2001

Y1 - 2001

N2 - Computer operations involving complex numbers, essential in such applications as digital signal processing and image processing, are usually performed in a "divide-and-conquer" approach dealing separately with the real and imaginary parts and then accumulating the results. There have been several proposals to treat complex numbers as a single unit but all seem to have floundered on the basic problem of the division process without which, of course, it is impossible to carry out all but the most basic arithmetic. This paper resurrects an early proposal to express complex numbers in a single "binary" representation and provides a fail-safe procedure for obtaining the quotient of two complex numbers expressed in this representation.

AB - Computer operations involving complex numbers, essential in such applications as digital signal processing and image processing, are usually performed in a "divide-and-conquer" approach dealing separately with the real and imaginary parts and then accumulating the results. There have been several proposals to treat complex numbers as a single unit but all seem to have floundered on the basic problem of the division process without which, of course, it is impossible to carry out all but the most basic arithmetic. This paper resurrects an early proposal to express complex numbers in a single "binary" representation and provides a fail-safe procedure for obtaining the quotient of two complex numbers expressed in this representation.

UR - http://www.scopus.com/inward/record.url?scp=0034997103&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034997103&partnerID=8YFLogxK

M3 - Conference contribution

SP - 188

EP - 195

BT - Conference Proceedings - IEEE SOUTHEASTCON

ER -