Design strategies for constant-input limit cycle-free second-order digital filters

1998 Midwest Symposium on Circuits and Systems (Cat. No. 98CB36268) ◽

10.1109/mwscas.1998.759531 ◽

2002 ◽

Author(s):

M. Sarcinelli-Filho ◽

M. de Camponez

Keyword(s):

Limit Cycle ◽

Digital Filters ◽

Second Order ◽

Design Strategies ◽

Constant Input

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Limit cycle bounds for floating point implementations of second-order recursive digital filters

IEEE Transactions on Circuits and Systems II Analog and Digital Signal Processing ◽

10.1109/82.242338 ◽

1993 ◽

Vol 40 (8) ◽

pp. 493-501 ◽

Cited By ~ 14

Author(s):

P.H. Bauer ◽

J. Wang

Keyword(s):

Limit Cycle ◽

Digital Filters ◽

Second Order ◽

Floating Point ◽

Recursive Digital Filters

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Low-noise zero-input, overflow, and constant-input limit cycle-free implementation of state space digital filters

Digital Signal Processing ◽

10.1016/j.dsp.2005.05.003 ◽

2007 ◽

Vol 17 (1) ◽

pp. 335-344 ◽

Cited By ~ 5

Author(s):

Marcelo Oliveira Camponez ◽

Ana Cristina Staut Simmer ◽

Mario Sarcinelli-Filho

Keyword(s):

State Space ◽

Limit Cycle ◽

Digital Filters ◽

Low Noise ◽

Constant Input

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Control of limit cycle oscillations in second-order recursive digital filters using constrained random quantization

IEEE Transactions on Acoustics Speech and Signal Processing ◽

10.1109/tassp.1978.1163063 ◽

1978 ◽

Vol 26 (2) ◽

pp. 127-134 ◽

Cited By ~ 8

Author(s):

V. Lawrence ◽

K. Mina

Keyword(s):

Limit Cycle ◽

Digital Filters ◽

Second Order ◽

Limit Cycle Oscillations ◽

Recursive Digital Filters ◽

Random Quantization

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Semisystolic implementation of second-order Volterra digital filters based on recurrence algorithm of Volterra filtering

Electronics Letters ◽

10.1049/el:19890018 ◽

1989 ◽

Vol 25 (1) ◽

pp. 25-26 ◽

Cited By ~ 2

Author(s):

D. Kocur

Keyword(s):

Digital Filters ◽

Second Order ◽

Recurrence Algorithm

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Limit cycle behavior of pipelined recursive digital filters

IEEE Transactions on Circuits and Systems II Analog and Digital Signal Processing ◽

10.1109/82.287006 ◽

1994 ◽

Vol 41 (5) ◽

pp. 351-355 ◽

Cited By ~ 5

Author(s):

Kyung Hi Chang ◽

W.G. Bliss

Keyword(s):

Limit Cycle ◽

Digital Filters ◽

Recursive Digital Filters ◽

Limit Cycle Behavior

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Admissibility of unstable second-order digital filters with two's complement arithmetic

International Journal of Circuit Theory and Applications ◽

10.1002/cta.268 ◽

2004 ◽

Vol 32 (3) ◽

pp. 97-104 ◽

Cited By ~ 1

Author(s):

Bingo Wing-Kuen Ling ◽

Charlotte Yuk-Fan Ho ◽

Peter Kwong-Shun Tam

Keyword(s):

Digital Filters ◽

Second Order

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A contribution to the stability analysis of second-order direct-form digital filters with magnitude truncation

IEEE Transactions on Acoustics Speech and Signal Processing ◽

10.1109/tassp.1987.1165255 ◽

1987 ◽

Vol 35 (8) ◽

pp. 1207-1210 ◽

Cited By ~ 10

Author(s):

A. Lepschy ◽

G. Mian ◽

U. Viaro

Keyword(s):

Stability Analysis ◽

Digital Filters ◽

Second Order ◽

Direct Form ◽

The Stability

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Heuristic synthesis of low coefficient sensitivity second-order digital filters using genetic programming

IEE Proceedings - Circuits Devices and Systems ◽

10.1049/ip-cds:20010342 ◽

2001 ◽

Vol 148 (3) ◽

pp. 121 ◽

Cited By ~ 2

Author(s):

K. Uesaka ◽

M. Kawamata

Keyword(s):

Genetic Programming ◽

Digital Filters ◽

Second Order

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A multi-output second-order digital filter without limit cycle oscillations

IEEE Transactions on Circuits and Systems ◽

10.1109/tcs.1985.1085796 ◽

1985 ◽

Vol 32 (9) ◽

pp. 974-975 ◽

Cited By ~ 7

Author(s):

Hon Kwan

Keyword(s):

Limit Cycle ◽

Digital Filter ◽

Second Order ◽

Limit Cycle Oscillations

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Bang-Bang Versus Linear Control of a Second-Order Rate-Type Servomotor

Journal of Basic Engineering ◽

10.1115/1.3662557 ◽

1960 ◽

Vol 82 (1) ◽

pp. 66-72 ◽

Cited By ~ 1

Author(s):

Philip F. Meyfarth

Keyword(s):

Limit Cycle ◽

Function Approximation ◽

Second Order ◽

Describing Function ◽

Response Characteristics ◽

Order Rate ◽

Maximum Value ◽

Bang Bang Control ◽

Low Amplitude ◽

Rate Type

A simple nonlinear scheme for controlling a second-order rate-type servomotor is described. This scheme is referred to as “bang-bang” control since the input to the servomotor is made to “bang” from its maximum value in one direction to its maximum value in the other direction depending only on the sign of an error signal. This bang-bang system oscillates in a continuous high-frequency, low-amplitude limit cycle. The nature of this limit cycle is studied by the describing function approximation and by an exact method. The step and frequency response characteristics of the bang-bang system are discussed and compared with the characteristics of a simple linear system. It is shown that many aspects of the behavior of the bang-bang system can be predicted from rather simple considerations.

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