High-precision sine signal generation based on compressed look-up table

When using direct digital synthesizer (DDS) technology to generate sine signals, the amplitude precision and the look-up table scale restrict each other; a large-scale look-up table for high precision output is often impractical owing to the limitation of capacity. To this problem, a high-precision sine signal generation algorithm based on compressed look-up table is proposed. Firstly, an analysis is given between the relationship of the DDS precision and the look-up table scale, which provides theoretical rules for the design of the look-up table. Then, an efficient compressed look-up table is constructed according to the requirement of precision, the relationship between look-up table scale and compression ratio is given. Finally, the implementation of the algorithm is presented, signal precision and compression ratio are confirmed through simulation, for a signal with an amplitude of 10 ⁶ and a precision of 10 ^-5, the compression ratio of 10 ⁷ is obtained.