Patent
Cordic complex multiplier
Matthew O'Donnell,Ernest Engeler William +1 more
- 31 May 1988
64
TL;DR: In this paper, a CORDIC subsystem for multiplication of two complex digital numbers B and C, where one number is the sum of real and imaginary data portions, expressed in rectangular form (say Cr or CI), and the other number can be expressed in the rectangular form or can be represented by magnitude data expressed in polar form, is presented.
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Abstract: A CORDIC (COordinate Rotation DIgital Computer) subsystem for multiplication of two complex digital numbers B and C, where one number is the sum of real and imaginary data portions, expressed in rectangular form (say Cr or CI), and the other number can be expressed in the rectangular form or can be represented by magnitude data, expressed in polar form (say, |B|, φ). An N-stage CORDIC portion of either recursive or pipeline sequential form, but devoid of multipliers, is used to rotate the I and Q terms of the first number through a phase angle φ of the polar-form multiplier number of the equivalent, taken from the rectangular form. The final computed data are the real and imaginary parts of the product.
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Citations
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References
The CORDIC Trigonometric Computing Technique
TL;DR: The trigonometric algorithms used in this computer and the instrumentation of these algorithms are discussed in this paper.
2.8K
Patent
ROM-Based complex multiplier useful for FFT butterfly arithmetic unit
Stanley A. White
- 21 Apr 1980
TL;DR: In this paper, a four-port digital complex multiplier was proposed for FFT butterfly arithmetic units and in which ROM's were employed as square function look-up tables. Buttons were used as look-ups to provide component complex products.
36
Patent
Cordic FFT processor
Paul C. Barr,Herbert L. Groginsky +1 more
- 21 Dec 1978
TL;DR: In this article, an apparatus for performing a Fourier transform using Cordic techniques is presented, where digital words are pipelined through serial add/subtract stages to provide vector rotations without trignometric lookup tables or multiply operations.
30
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Processing unit for multiplying two mathematical quantities including at least one complex multiplier
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TL;DR: In this paper, a processing unit includes at least one complex multiplier having hour multiplying circuits for multiplying the real and imaginary components of two complex vectors and combining the products to produce a complex output vector.
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Complex filters, convolvers, and multipliers
Bond James W,Speiser Jeffrey M +1 more
- 27 Sep 1974
TL;DR: In this paper, a complex multiplier consisting of four signal summers, two means for inverting a signal, and three signal multipliers is defined, and the output signal of the fourth summer is equal to the magnitude of the real part of the same multiplied complex signals.
26