Finite register effects in block digital filters
Loeffler, Charles M.
Burrus, C. Sidney
Master of Science
An equivalence relationship between convolution block filters and state block filters is established. The single-output basis filter for each convolution block filter is found. It is shown that the average round-off noise variance at the output of all block filters is inversely proportional to the block length. A sufficient condition on the block length is found that guarantees complete suppression of the limit cycles in the block filter. A minimum output noise variance block structure is found that, when compared to its single variate counterpart, has a lower output noise variance and is not as computationally complex to implement.