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** Particle filter
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Some Related Sentences
** and Particle
** Particle displacement, a measurement of distance of the movement of a particle in a medium as it transmits a wave ( represented in mathematics by the lower-case Greek letter ξ )
** Particle aggregation, direct mutual attraction between particles ( atoms or molecules ) via van der Waals forces or chemical bonding
** Tom Foster, Bill Foster's nephew, a student at MIT, worked to crack the Pym Particle code and become the new Goliath after his uncle's death.
** – Keith Mason is appointed as the new head of the Particle Physics and Astronomy Research Council in the UK.
** and filter
** Electronic filter, an electronic circuit which processes signals, for example to remove unwanted frequency components
** Digital filter, a system that performs mathematical operations to reduce or enhance certain aspects of a signal
** Analogue filter, a basic building block of signal processing much used in electronics, see Passive analogue filter development
** Affective filter, an impediment to learning or acquisition caused by negative emotional (" affective ") responses to one's environment.
** Subtractive synthesis, a method of creating a sound by removing harmonics, characterised by the application of an audio filter to an audio signal
** Pass band or Passband, the range of frequencies that can pass through an electronic filter without being attenuated
** In the case of narrow-band bandpass filters, the Q determines the-3dB bandwidth but also the degree of rejection of frequencies far removed from the center frequency ; if these two requirements are in conflict then a staggered-tuning bandpass filter may be needed.
** For high-pass and low-pass ( as well as band-pass filters far from the center frequency ), the required rejection may determine the slope of attenuation needed, and thus the " order " of the filter.
** Chebyshev filter – slight peaking / ripple in the passband before the corner ; Q > 0. 7071 for 2nd-order filters
Particle and filter
Laser Particle Counters are an effective way to measure filter effectiveness, medical grade can test for particles as small as 0. 3 micrometres.
Result of particle filtering ( red line ) based on observed data generated from the blue line (: Image: Particle filter example. png | Larger version )
Particle filters are usually used to estimate Bayesian models in which the latent variables are connected in a Markov chain — similar to a hidden Markov model ( HMM ), but typically where the state space of the latent variables is continuous rather than discrete, and not sufficiently restricted to make exact inference tractable ( as, for example, in a linear dynamical system, where the state space of the latent variables is restricted to Gaussian distributions and hence exact inference can be done efficiently using a Kalman filter ).
* Particle filter: useful for sampling the underlying state-space distribution of nonlinear and non-Gaussian processes.
* Sampling Importance Resampling ( SIR ) filters ( Particle filter / weighted Bootstrap ; with general and Kalman implementations )
* Particle filter, a sequential Monte Carlo ( SMC ) based technique, which models the PDF using a set of discrete points
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