Apparatus and method for rectangular-to-polar conversion

Electrical computers: arithmetic processing and calculating – Electrical digital calculating computer – Particular function performed

Reexamination Certificate

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Reexamination Certificate

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06874006

ABSTRACT:
A rectangular-to-polar-converter receives a complex input signal (having X0and Y0components) and determines an angle φ that represents the position of the complex signal in the complex plane. The rectangular-to polar-converter determines a coarse angle φ1and a fine angle φ2, where φ=φ1+φ2. The coarse angle φ1is obtained using a small arctangent table and a reciprocal table. These tables provide just enough precision such that the remaining fine angle φ2is small enough to approximately equal its tangent value. Therefore the fine angle φ2can be obtained without a look-up table, and the fine angle computations are consolidated into a few small multipliers, given a precision requirement. Applications of the rectangular-to-polar converter include symbol and carrier synchronization, including symbol synchronization for bursty transmissions of packet data systems. Other applications include any application requiring the rectangular-to-polar conversion of a complex input signal.

REFERENCES:
patent: 3646337 (1972-02-01), Bifulco, Jr.
patent: 3952187 (1976-04-01), Robinson et al.
patent: 3974367 (1976-08-01), Mayer
patent: 4340939 (1982-07-01), Mayer
patent: 4719833 (1988-01-01), Katoh et al.
patent: 4935905 (1990-06-01), Gassaway
patent: 5051734 (1991-09-01), Lake, Jr.
patent: 5276633 (1994-01-01), Fox et al.
patent: 5373236 (1994-12-01), Tsui et al.
patent: 5500874 (1996-03-01), Terrell
patent: 6144712 (2000-11-01), Samueli et al.
patent: 6178271 (2001-01-01), Maas, III
patent: 6477867 (2002-11-01), Collecutt et al.
U.S. Appl. No. 09/698,246, filed Oct. 30, 2000, Fu et al.
U.S. Appl. No. 09/699,088, filed Oct. 30, 2000, Fu et al.

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