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Topic: Infinite impulse response


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  Infinite impulse response - Wikipedia, the free encyclopedia
This is in contrast to finite impulse response filters (FIR) which have fixed-duration impulse responses.
IIR filters may be implemented as either analog or digital filters.
The poles of the IIR filter transfer function are the zeros of the denominator polynomial of the transfer function.
en.wikipedia.org /wiki/Infinite_impulse_response   (723 words)

  
 Finite impulse response - Wikipedia, the free encyclopedia
It is 'finite' because its response to an impulse ultimately settles to zero.
This is in contrast to infinite impulse response filters which have internal feedback and may continue to respond indefinitely.
The Z-transform of the impulse response yields the transfer function of the FIR filter
en.wikipedia.org /wiki/Finite_impulse_response   (549 words)

  
 Infinite impulse response - Wikipedia, the free encyclopedia   (Site not responding. Last check: 2007-10-13)
An infinite impulse response (IIR) filter, as suggested by its name, has an impulse response which lasts forever.
An IIR filter is typically characterized by its order, which is the number of feedback stages required.
Infinite impulse response filters are sometimes prefered to finite impulse response filters because an IIR filter can achieve a much sharper transition region roll-off than an FIR filter of the same order.
www.encyclopedia-online.info /Infinite_impulse_response   (203 words)

  
 [No title]   (Site not responding. Last check: 2007-10-13)
Unlike the continuous-time impulse function (a pulse which is infinitely tall and has zero-width, but has finite area), the discrete-time impulse sequence is easy to create in practice.
In other words, if the impulse response is exactly 0 before the impulse occurs and returns to exactly 0 after some finite time (some finite number of cycles of the discrete-time system).
IIR filters are also sometimes called recursive filters, since the current output is dependent on prior values of the output (numerical recursion).
www.ece.unh.edu /courses/ece707_3/Docs/DSP/FIR_IIR.htm   (693 words)

  
 [No title]   (Site not responding. Last check: 2007-10-13)
A second finite impulse response filter section is connected to the infinite impulse response filter section and outputs a filtered output signal in response the receipt of the input signal by the programmable digital filter.
The finite impulse response filter section further includes a first bit truncation circuit, a second bit truncation circuit, and a third bit truncation circuit at the outputs of the first, second and third jammer filters, respectively.
The architecture of the IIR equalization filter 42 is similar to the architecture of the second IIR equalization filter 44 of Fig.
www.wipo.int /cgi-pct/guest/getbykey5?KEY=00/36744.000622&ELEMENT_SET=DECL   (6863 words)

  
 Digital Filtering   (Site not responding. Last check: 2007-10-13)
The magnitude response indicates the ratio of a filtered sine wave's output amplitude to its input amplitude.
The impulse response of an FIR filter is only as long as the maximum delayed input term in its difference equation.
Infinite Impulse Response (IIR) filters include delayed and scaled versions of the output signal which are fed back into the current output.
www.music.mcgill.ca /~gary/307/week4/filters.html   (1951 words)

  
 Infinite impulse response: Facts and details from Encyclopedia Topic   (Site not responding. Last check: 2007-10-13)
In the language of mathematics, the impulse response of a linear transformation is the image of diracs delta function under the transformation....
A finite impulse response (fir) filter is a type of a digital filter, that is normally implemented through digital electronic computation....
IIR filters may be implemented as either analog[For more facts and a topic of this subject, click this link] or digital filter digital filter quick summary:
www.absoluteastronomy.com /encyclopedia/i/in/infinite_impulse_response.htm   (1322 words)

  
 [No title]   (Site not responding. Last check: 2007-10-13)
INFINITE IMPULSE RESPONSE FILTER FOR 3D SOUND WITH TAP DELAY LINE INITIALIZATION TECHNICAL FIELD This invention relates to audio processing systems, and more particularly, to infinite impulse response filters used in audio processing system to filter audio signals representing sounds from a source that is stationary in or moving through three- dimensional space.
The IIR filters 24 and 26, together with the summer 30 and difference 32, add directional cues to the audio signal to form left and right signals that are based on head related transfer functions (HRTFs) and crosstalk cancellation to remove any crosstalk at each ear from the opposite speaker.
IIR filter 60 has a numerator branch 62 and a denominator branch 64, both of which comprise a series of digital delay elements 66 and coefficients.
www.wipo.int /cgi-pct/guest/getbykey5?KEY=99/09648.990225&ELEMENT_SET=DECL   (4645 words)

  
 Adaptive digital filter having non-recursive and recursive filter elements - Patent 5014232
The impulse response from a filter which is used for echo cancellation in telecommunication equipment shall as closely as possible immitate the impulse response of the transmission line in question.
In accordance with the inventive concept, the first part of the impulse response is generated in the FIR filter 11 and the second part is generated as a linear combination of the output signals from the IIR filters 13-16.
However, the delay results in that the first part of the desired impulse response is generated solely by the FIR filter, and that the second part of the response is generated solely by the recursive filter part.
www.freepatentsonline.com /5014232.html   (3210 words)

  
 GLOSSARY - Impulse Response ...   (Site not responding. Last check: 2007-10-13)
The impulse response of a filter (or system) is the output response due to the application of an impulse to is input.
Thus the impulse response of the filter is limited to the duration associated with the length of the delay line.
If this feedback were say 0.5 the impulse response would reduce by 0.5 in one feedback period, by.25 in two periods, by.125 in 3 periods etc. It would however (neglecting Truncation) never become zero and hence a recursive filter has an infinite impulse response (IIR) and hence these filters are also known as IIR Filters.
www.magma.ca /~masonjl/Glossary/glos5ztx.htm   (299 words)

  
 Impulse-Response Representation   (Site not responding. Last check: 2007-10-13)
LTI filter may be represented in the time domain by its response to a specific signal called the impulse.
In the physical world, an impulse may be approximated by a swift hammer blow (in the mechanical case) or balloon pop (acoustic case).
The convolution formula plays the role of the difference equation when the impulse response is used in place of the difference-equation coefficients as a filter representation.
www-ccrma.stanford.edu /~jos/filters/Impulse_Response_Representation.html   (692 words)

  
 Infinite impulse response   (Site not responding. Last check: 2007-10-13)
An infinite impulse response (IIR) filter as suggested by its name has impulse response which lasts forever.
An IIR filter is typically characterized by order which is the number of feedback required.
Infinite impulse response filters are sometimes prefered to finite impulse response filters because an IIR filter can a much sharper transition region roll-off than FIR filter of the same order.
www.freeglossary.com /Infinite_impulse_response   (203 words)

  
 Finite Impulse Response filters
A Finite Impulse Response (FIR) filter produces an output, y(n), that is the weighted sum of the current and past inputs, x(n).
The filter coefficents are a windowed sinc funtion, plotted in figure 5 and the amplitude response is plotted in figure 6.
IIR filters are often much more efficient, but can not be designed to have exact linear phase.
svr-www.eng.cam.ac.uk /~ajr/SpeechAnalysis/node13.html   (291 words)

  
 Finite Impulse Response FAQ: Basics
The impulse response is "finite" because there is no feedback in the filter; if you put in an impulse (that is, a single "1" sample followed by many "0" samples), zeroes will eventually come out after the "1" sample has made its way in the delay line past all the coefficients.
The use of finite-precision arithmetic in IIR filters can cause significant problems due to the use of feedback, but FIR filters have no feedback, so they can usually be implemented using fewer bits, and the designer has fewer practical problems to solve related to non-ideal arithmetic.
Unlike IIR filters, it is always possible to implement a FIR filter using coefficients with magnitude of less than 1.0.
www.dspguru.com /info/faqs/fir/basics.htm   (776 words)

  
 Digital filter employing PROM for storing positive and negative impulse response values - Patent 4423488
For positive and negative impulse inputs, the time domain response of the corresponding frequency domain raised cosine response is created by way of a programmable read-only memory (PROM), the contents of which are selectively addressed by the combination of the contents of a shift register and a counter.
To this end, the filter response characteristic is one having a raised-cosine function in the frequency domain, digitally implemented in the time domain for a finite impulse response.
For a finite impulse input, the time domain response of the corresponding frequency domain raised cosine response is recreated in a programmable read-only memory, the contents of which are selectively addressed by the combination of the contents of a shift register and a counter.
www.freepatentsonline.com /4423488.html   (3039 words)

  
 Introduction to Digital Filters - FIR (finite impulse resonse), IIR (infinite impulse response), low pass, high pass
Simple filters are usually defined by their responses to the individual frequency components that constitute the input signal.
A filter's response to different frequencies is characterized as passband, transition band, or stopband.
The passband response is the filter's effect on frequency components that are passed through (mostly) unchanged.
www.netrino.com /Publications/Glossary/Filters.html   (1013 words)

  
 HST.582J/6.555J/16.456J FIR Filter Design   (Site not responding. Last check: 2007-10-13)
The window method begins with an ideal lowpass filter, whose impulse response is of infinite duration, and truncates it, producing a finite impulse response.
To obtain a causal FIR filter, the impulse response of the ideal lowpass filter is shifted in time by 15 ((L-1)/2) samples and windowed.
The impulse response of the shifted ideal lowpass filter is shown in the third.
web.mit.edu /6.555/www/fir.html   (316 words)

  
 Infinite Impulse Response Filters, Introduction.   (Site not responding. Last check: 2007-10-13)
An infinite impulse response filter(IIR) is one whose impulse response goes on forever.
For it to be IIR, at least one of the a's in the denominator must be non zero.
To obtain the frequency response of the filter, substitute the following relation between z and omega.
dspcan.homestead.com /files/IIRFilt/zfiltiiri.htm   (112 words)

  
 Introduction   (Site not responding. Last check: 2007-10-13)
impulse responses, and is therefore efficiently modeled as a ``lumped'' horn
IIR filters can approximate a given impulse response with much less computation because they are recursive.
exponential portion of the time-domain response, arising from the smoothly flaring bore profile that is characteristic of musical horns.
ccrma-www.stanford.edu /~jos/tiirts/Introduction.html   (710 words)

  
 Digital signal processing - Wikipedia, the free encyclopedia
A "finite impulse response" (FIR) filter uses only the input signal, while an "infinite impulse response" filter (IIR) uses both the input signal and previous samples of the output signal.
A filter may also be described as a difference equation, a collection of zeroes and poles or, if it is an FIR filter, an impulse response or step response.
The output of an FIR filter to any given input may be calculated by convolving the input signal with the impulse response.
en.wikipedia.org /wiki/Digital_signal_processing   (1390 words)

  
 Introduction to Computer Programming with MATLAB
To obtain the impulse response of a system specified in the frequency domain we can use an inverse Fourier transform to get a sampled impulse response then truncate or window the impulse response to a suitable length.  The inverse Fourier transform is described in lecture 9.
generates a truncated impulse response in h[] of length n samples, corresponding to a low-pass filter with a cut-off at a normalised frequency w.  In MATLAB filter design functions, frequencies are normalised to half the sampling rate, i.e.
In general you need truncated impulse responses that are long enough to capture the majority of the energy in the full impulse response.
www.phon.ucl.ac.uk /courses/spsci/matlab/lect8.html   (1032 words)

  
 Infinite impulse response filter 2nd order lowpass Impulse Invariant approximation.   (Site not responding. Last check: 2007-10-13)
Because of the log scale, the higher periods are greatly "compressed".
The response at low sampling frequencies is not good and this approach is only used when it is necessary to have equivalence between the analog and sampled impulse response.
This is because the T factor is no longer adequate to make the area under the analog nd sampled responses identical.
dspcan.homestead.com /files/IIRFilt/zfiltii2.htm   (256 words)

  
 Part II: Digital Filters
The IIR filter has the steepest slope, but its really not all that much better than the FIR designs, and the phase response is lousy.
But the sum of the two impulse responses almost exactly cancel everywhere except at a single point, where the sum is almost exactly equal to 1.0.
The combined impulse response can be made truly perfect by the simple expedient of defining the hi-pass coefficients as the negatives of the lo pass, except for the center tap which is 1 minus the lo pass center.
www.silcom.com /~aludwig/Signal_processing/Digital_filters.htm   (1056 words)

  
 Encyclopedia entries starting with INF   (Site not responding. Last check: 2007-10-13)
Infinite Energy is a monthly magazine published in New Hampshire that details theories and experiments concerning alternative energy, usually based on concepts that are outside mainstream science.
Infinitism is a theory in epistemology the branch of philosophy that treats of the possibility, nature, and means of knowledge.
It is called the "infinitive" because the verb is usually not made "finite", or limited by inflection.
encycl.opentopia.com /I/IN/INF   (10299 words)

  
 ipedia.com: Finite impulse response Article   (Site not responding. Last check: 2007-10-13)
A finite impulse response filter is a type of a digital filter in discrete time, that is normally implemented through digital electronic computation.
A finite impulse response (FIR) filter is a type of a digital filter in discrete time, that is normally implemented through digital electronic computation.
A finite impulse response filter has a number of useful properties which sometimes make it preferable to an infinite impulse response filter: FIR filters are inherently stable, require no feedback, and can have linear phase (i.e.
www.ipedia.com /finite_impulse_response.html   (215 words)

  
 System impulse response   (Site not responding. Last check: 2007-10-13)
Impulse response acquisition as an inverse heat conduction problem...
Impulse Responses in a Threshold Cointegrated System: The Case of Natural Gas Ma...
What is its response?: The many different types of response can give subtle test...
www.scienceoxygen.com /signal/242.html   (367 words)

  
 Connexions   (Site not responding. Last check: 2007-10-13)
Infinite impulse response (IIR) filters are an alternative to finite impulse response (FIR) filters.
Often, an IIR implementaion can meet a given filter specification with less computation than an FIR implementation, but IIR filters induce nonlinear phase and are more sensitive to numerical problems.
You will compare the response of the filter having unquantized coefficients with that of a filter having coefficients quantized as a single, fourth-order stage and with that of a filter having coefficients quantized as a cascade of two, second-order stages.
cnx.org /content/similarity?b_start:int=10&objectId=m10479   (443 words)

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