An Introduction to Linear Filters and Applications /
Linear filters in the time domain process time-varying input signals to produce output signals, subject to the constraint of linearity. This results from systems composed solely of components (or digital algorithms) classified as having a linear response. Most filters implemented in analog electroni...
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Language: | eng |
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Delhi, India : World Technologies,
2012
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Online Access: | http://repository.library.utm.my/2817 |
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author | Braxton, Parthenia author 643772 |
author_facet | Braxton, Parthenia author 643772 |
author_sort | Braxton, Parthenia author 643772 |
collection | OCEAN |
description | Linear filters in the time domain process time-varying input signals to produce output signals, subject to the constraint of linearity. This results from systems composed solely of components (or digital algorithms) classified as having a linear response. Most filters implemented in analog electronics, in digital signal processing, or in mechanical systems are classified as causal, time invariant, and linear. However the general concept of linear filtering is broader, also used in statistics, data analysis, and mechanical engineering among other fields and technologies. This includes noncausal filters and filters in more than one dimension such as would be used in image processing; those filters are subject to different constraints leading to different design methods, which are discussed elsewhere. A linear time-invariant (LTI) filter can be uniquely specified by its impulse response h, and the output of any filter is mathematically expressed as the convolution of the input with that impulse response. The frequency response, given by the filter's transfer function H(ω), is an alternative characterization of the filter. The frequency response may be tailored to, for instance, eliminate unwanted frequency components from an input signal, or to limit an amplifier to signals within a particular band of frequencies. There are a number of particularly desirable or useful filter transfer functions. |
first_indexed | 2024-03-05T16:46:35Z |
format | text |
id | KOHA-OAI-TEST:593709 |
institution | Universiti Teknologi Malaysia - OCEAN |
language | eng |
last_indexed | 2024-03-05T16:46:35Z |
publishDate | 2012 |
publisher | Delhi, India : World Technologies, |
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spelling | KOHA-OAI-TEST:5937092022-11-07T14:41:12ZAn Introduction to Linear Filters and Applications / Braxton, Parthenia author 643772 text Electronic books 631902 Delhi, India : World Technologies,2012©2012engLinear filters in the time domain process time-varying input signals to produce output signals, subject to the constraint of linearity. This results from systems composed solely of components (or digital algorithms) classified as having a linear response. Most filters implemented in analog electronics, in digital signal processing, or in mechanical systems are classified as causal, time invariant, and linear. However the general concept of linear filtering is broader, also used in statistics, data analysis, and mechanical engineering among other fields and technologies. This includes noncausal filters and filters in more than one dimension such as would be used in image processing; those filters are subject to different constraints leading to different design methods, which are discussed elsewhere. A linear time-invariant (LTI) filter can be uniquely specified by its impulse response h, and the output of any filter is mathematically expressed as the convolution of the input with that impulse response. The frequency response, given by the filter's transfer function H(ω), is an alternative characterization of the filter. The frequency response may be tailored to, for instance, eliminate unwanted frequency components from an input signal, or to limit an amplifier to signals within a particular band of frequencies. There are a number of particularly desirable or useful filter transfer functions.Linear filters in the time domain process time-varying input signals to produce output signals, subject to the constraint of linearity. This results from systems composed solely of components (or digital algorithms) classified as having a linear response. Most filters implemented in analog electronics, in digital signal processing, or in mechanical systems are classified as causal, time invariant, and linear. However the general concept of linear filtering is broader, also used in statistics, data analysis, and mechanical engineering among other fields and technologies. This includes noncausal filters and filters in more than one dimension such as would be used in image processing; those filters are subject to different constraints leading to different design methods, which are discussed elsewhere. A linear time-invariant (LTI) filter can be uniquely specified by its impulse response h, and the output of any filter is mathematically expressed as the convolution of the input with that impulse response. The frequency response, given by the filter's transfer function H(ω), is an alternative characterization of the filter. The frequency response may be tailored to, for instance, eliminate unwanted frequency components from an input signal, or to limit an amplifier to signals within a particular band of frequencies. There are a number of particularly desirable or useful filter transfer functions.Linear filters (Mathematics)http://repository.library.utm.my/2817URN:ISBN:9788132330240Remote access restricted to users with a valid UTM ID via VPN. |
spellingShingle | Linear filters (Mathematics) Braxton, Parthenia author 643772 An Introduction to Linear Filters and Applications / |
title | An Introduction to Linear Filters and Applications / |
title_full | An Introduction to Linear Filters and Applications / |
title_fullStr | An Introduction to Linear Filters and Applications / |
title_full_unstemmed | An Introduction to Linear Filters and Applications / |
title_short | An Introduction to Linear Filters and Applications / |
title_sort | introduction to linear filters and applications |
topic | Linear filters (Mathematics) |
url | http://repository.library.utm.my/2817 |
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