TY - GEN
T1 - The Fourier analyse of Non-truncation DDS output characteristic
AU - Li, Zhi Jian
AU - Zeng, Da Zhi
AU - Long, Teng
PY - 2008
Y1 - 2008
N2 - Using the principle of number theory, periodicity property of the output phase sequences of an M-bit Non-truncation DDS phase-accumulator have been analyzed, and the linear relationships between them have been deduced as well. Combining the symmetry property of the Discrete Fourier Transform Matrix, linear relationships between spectrums of different output signals generated by different frequency control words with the same Lowest Nonzero Bit Position have been deduced. The analysis results show that the output signals can be grouped into M groups, according to the lowest nonzero bit position of their frequency control words. Signals in the same group have the identical Signal-to-Noise- Ratio(SNR) and Spurious Free Dynamic Range(SFDR). As a result, only M DFTs are necessary for the analysis of all output signals generated by an M-bit Non-truncation DDS. Simulation results showed that the academic analysis is correct.
AB - Using the principle of number theory, periodicity property of the output phase sequences of an M-bit Non-truncation DDS phase-accumulator have been analyzed, and the linear relationships between them have been deduced as well. Combining the symmetry property of the Discrete Fourier Transform Matrix, linear relationships between spectrums of different output signals generated by different frequency control words with the same Lowest Nonzero Bit Position have been deduced. The analysis results show that the output signals can be grouped into M groups, according to the lowest nonzero bit position of their frequency control words. Signals in the same group have the identical Signal-to-Noise- Ratio(SNR) and Spurious Free Dynamic Range(SFDR). As a result, only M DFTs are necessary for the analysis of all output signals generated by an M-bit Non-truncation DDS. Simulation results showed that the academic analysis is correct.
KW - Direct digital frequency synthesize
KW - Fourier Transform Matrix
KW - Signal-to-Noise-Ratio(SNR)
KW - Spurious Free Dynamic Range(SFDR)
UR - http://www.scopus.com/inward/record.url?scp=67249088096&partnerID=8YFLogxK
U2 - 10.1109/ICOSP.2008.4697069
DO - 10.1109/ICOSP.2008.4697069
M3 - Conference contribution
AN - SCOPUS:67249088096
SN - 9781424421794
T3 - International Conference on Signal Processing Proceedings, ICSP
SP - 64
EP - 67
BT - 2008 9th International Conference on Signal Processing, ICSP 2008
T2 - 2008 9th International Conference on Signal Processing, ICSP 2008
Y2 - 26 October 2008 through 29 October 2008
ER -