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A very‐low‐frequency block‐digital oscillator
Author(s) -
Acha José I.,
Ayerbe Aranzau
Publication year - 1985
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490130304
Subject(s) - mathematics , sensitivity (control systems) , scaling , block (permutation group theory) , scalar (mathematics) , mean squared error , quantization (signal processing) , control theory (sociology) , algorithm , statistics , computer science , electronic engineering , combinatorics , geometry , engineering , control (management) , artificial intelligence
The development of a block‐digital oscillator when the oscillating frequency f o is very low with respect to the sampling frequency f s is outlined. Explicit relations for the sensitivity to coefficient quantization, for scaling and for mean‐squared round‐off error analysis are derived. the principal conclusion is that both the sensitivity and the mean‐squared round‐off error remain constant and do not depend on the ration f s / f o . Finally, the block oscillator is compared with the scalar oscillator proposed in Reference 7; some numerical results are also included.