Apparatus and method for rectangular-to-polar conversion
US6874006B1 · kind B1 · utility
Assignee
Inventors
Key dates
| Filing date | Oct 30, 2000 |
| Grant date | Mar 29, 2005 |
| Priority date | — |
| Expiry date | Sep 29, 2021 |
Classification
- Technology area (CPC H)Electricity
- CPC primaryH03H17/028
- WIPO fieldBasic communication processes
- WIPO sectorElectrical engineering
Abstract
A rectangular-to-polar-converter receives a complex input signal (having X0 and Y0 components) 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 φ1 and a fine angle φ2, where φ=φ1+φ2. The coarse angle φ1 is obtained using a small arctangent table and a reciprocal table. These tables provide just enough precision such that the remaining fine angle φ2 is small enough to approximately equal its tangent value. Therefore the fine angle φ2 can 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.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.