NDLI: A novel method for arithmetic operations using complex binary number system and the reconversion of the result to the decimal complex number system

Content Provider	IEEE Xplore Digital Library
Author	Zaini, H. Deshmukh, R.G.
Copyright Year	2003
Description	Author affiliation: Florida Inst. of Technol., Melbourne, FL, USA (Zaini, H.; Deshmukh, R.G.)
Abstract	Walter Penney defined a complex number system first by using a base of -4 and later by using (-1+j) [W. Penney, (1964), (1956)]. Other researchers have been working on the representation of complex binary numbers as one unit and perform arithmetic operations [(T.Jamil et al., (2000)]. We discuss a complex binary number system (CBNS) for high-speed arithmetic operations. An algorithm that performs the conversion of the decimal complex numbers to the binary complex number system that treats the complex number as one unit is represented [(T.Jamil (Dec2001)/Jan2002)]. A lookup table is generated to store their equivalent values in the CBNS form. We also present a new method to perform arithmetic operations (+, - , *, /) on operands in the CBNS form. A new algorithm is developed to add two complex numbers (CBNS form) using a modified carry look ahead principle. A block diagram for the adder that uses a new algorithm is presented. The results of the arithmetic operations in the CBNS form are reconverted back to the binary complex number using a new lookup table. This lookup table presents a new method for the reconversion of the CBNS numbers to the complex numbers.
Sponsorship	IEEE Region 3 IEEE Jamaican Section Univ. of Technol, Jamaica Univ. of the West Indies
Starting Page	31
Ending Page	37
File Size	302510
Page Count	7
File Format	PDF
ISBN	0780378563
DOI	10.1109/SECON.2003.1268427
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2003-04-04
Publisher Place	Jamaica
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Arithmetic Signal processing algorithms
Content Type	Text
Resource Type	Article

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