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A digital synthesizer of a harmonic wave with direct calculation of the harmonic function from the phase based on CORDIC-algorithm has been considered. The algorithm of the synthesizer and the architecture of its implementation, which does not require memory blocks, have been presented. The quality estimation of the proposed synthesizer has been derived from the mathematical fixed point model. The optimal iteration number of the CORDIC-calculator in terms of the generated signal quality and the required resources has been determined. The qualitative measures of the generated signal depending on the parameters of the synthesizer implementation have been given. It has been determined that for a given data width of the generated signal it is necessary to use an increased width of the CORDIC-calculator by 4-6 bits. The presented results permit to determine the structure and the parameters of the proposed synthesizer to provide the required signal quality. The proposed architecture is an alternative solution to the classic synthesizer with memory in case of optimal design under tight restrictions on memory usage.

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