BIBO Stability and Decomposition Analysis of Signals and System with Convolution Techniques
In this paper control system’s stability is arrived based on Bounded Input Bounded Output (BIBO) when bounded input is given in the form of discrete values. The control system allows the state estimation constraints to reach the convergence even when fluctuations in the parameters of the input syste...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Accademia Piceno Aprutina dei Velati
2023-03-01
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| Series: | Ratio Mathematica |
| Subjects: | |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1086 |
| _version_ | 1797852410040811520 |
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| author | C. B. Sumathi R. Jothilakshmi |
| author_facet | C. B. Sumathi R. Jothilakshmi |
| author_sort | C. B. Sumathi |
| collection | DOAJ |
| description | In this paper control system’s stability is arrived based on Bounded
Input Bounded Output (BIBO) when bounded input is given in the
form of discrete values. The control system allows the state estimation
constraints to reach the convergence even when fluctuations in
the parameters of the input system occur. To overcome this DTFT
(Discrete Time Fourier Transform) is used when the signal is completely
absolutely summable. Stability of the LTI (Linear time invariant)
system is showed and is depending on the absolute summable of
their impulse response. Simultaneously for continuous signal the stability
occurs if it is absolutely integrable . LTI system is steady if their
impulse responses encounter the Dirichlet conditions. In addition to
that the linearity and time-invariance properties are discussed. This
provide a new way to decompose the periodic signals into Fourier series
by convolving the fundamental signals. Continuous and discrete
time signals are focused in this paper to get linear time invariant system
(LTI) through complex exponentials. Finally filtering techniques
were used to eliminate the noisy frequency component in a signal. |
| first_indexed | 2024-04-09T19:33:53Z |
| format | Article |
| id | doaj.art-d9062917eb1b4d77b8c551de1e326cf1 |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-04-09T19:33:53Z |
| publishDate | 2023-03-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-d9062917eb1b4d77b8c551de1e326cf12023-04-04T20:02:56ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142023-03-0146010.23755/rm.v46i0.1086787BIBO Stability and Decomposition Analysis of Signals and System with Convolution TechniquesC. B. Sumathi0R. Jothilakshmi1PG and Research Department of Mathematics, Marudhar Kesari Jain College for Women,Tamil NaduP G and Research Department of Mathematics, Mazharul Uloom College, Tamil NaduIn this paper control system’s stability is arrived based on Bounded Input Bounded Output (BIBO) when bounded input is given in the form of discrete values. The control system allows the state estimation constraints to reach the convergence even when fluctuations in the parameters of the input system occur. To overcome this DTFT (Discrete Time Fourier Transform) is used when the signal is completely absolutely summable. Stability of the LTI (Linear time invariant) system is showed and is depending on the absolute summable of their impulse response. Simultaneously for continuous signal the stability occurs if it is absolutely integrable . LTI system is steady if their impulse responses encounter the Dirichlet conditions. In addition to that the linearity and time-invariance properties are discussed. This provide a new way to decompose the periodic signals into Fourier series by convolving the fundamental signals. Continuous and discrete time signals are focused in this paper to get linear time invariant system (LTI) through complex exponentials. Finally filtering techniques were used to eliminate the noisy frequency component in a signal.http://eiris.it/ojs/index.php/ratiomathematica/article/view/1086stability, dtft, ctft, dirichlet conditions. |
| spellingShingle | C. B. Sumathi R. Jothilakshmi BIBO Stability and Decomposition Analysis of Signals and System with Convolution Techniques Ratio Mathematica stability, dtft, ctft, dirichlet conditions. |
| title | BIBO Stability and Decomposition Analysis of Signals and System with Convolution Techniques |
| title_full | BIBO Stability and Decomposition Analysis of Signals and System with Convolution Techniques |
| title_fullStr | BIBO Stability and Decomposition Analysis of Signals and System with Convolution Techniques |
| title_full_unstemmed | BIBO Stability and Decomposition Analysis of Signals and System with Convolution Techniques |
| title_short | BIBO Stability and Decomposition Analysis of Signals and System with Convolution Techniques |
| title_sort | bibo stability and decomposition analysis of signals and system with convolution techniques |
| topic | stability, dtft, ctft, dirichlet conditions. |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1086 |
| work_keys_str_mv | AT cbsumathi bibostabilityanddecompositionanalysisofsignalsandsystemwithconvolutiontechniques AT rjothilakshmi bibostabilityanddecompositionanalysisofsignalsandsystemwithconvolutiontechniques |