Title :
Limit cycles in a two-dimensional first-order digital filter
fDate :
1/1/1977 12:00:00 AM
Abstract :
Limit cycles in a two-dimensional first-order digital filter are analyzed. Sufficient conditions for the nonexistence and sufficient and necessary conditions for the existence of limit cycles in the filter are derived. The limit cycles are of the two-dimensional degenerate type. Periods and an upper bound on the magnitudes of the limit cycles are also presented.
Keywords :
Digital networks; Fixed-point digital filters; Multidimensional digital filters; Recursive digital filter wordlength effects; Circuits and systems; Digital filters; Digital signal processing; Fixed-point arithmetic; Limit-cycles; Partial differential equations; Quantization; Sufficient conditions; Two dimensional displays; Upper bound;
Journal_Title :
Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCS.1977.1084264
