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Recursive filter information


In signal processing, a recursive filter is a type of filter which reuses one or more of its outputs as an input. This feedback typically results in an unending impulse response (commonly referred to as infinite impulse response (IIR)), characterised by either exponentially growing, decaying, or sinusoidal signal output components.

However, a recursive filter does not always have an infinite impulse response. Some implementations of moving average filter are recursive filters but with a finite impulse response.

Non-recursive Filter Example: y[n] = 0.5x[n − 1] + 0.5x[n].

Recursive Filter Example: y[n] = 0.5y[n − 1] + 0.5x[n].

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Recursive filter

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In signal processing, a recursive filter is a type of filter which reuses one or more of its outputs as an input. This feedback typically results in an...

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Recursive least squares filter

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Recursive least squares (RLS) is an adaptive filter algorithm that recursively finds the coefficients that minimize a weighted linear least squares cost...

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Kalman filter

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estimation Particle filter estimator PID controller Predictor–corrector method Recursive least squares filter Schmidt–Kalman filter Separation principle...

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Digital filter

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reveals how a filter responds to a sudden, momentary disturbance. An IIR filter is always recursive. While it is possible for a recursive filter to have a...

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Ensemble Kalman filter

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The ensemble Kalman filter (EnKF) is a recursive filter suitable for problems with a large number of variables, such as discretizations of partial differential...

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Filter design

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complexity of the response curve determines the filter order and feasibility. A first-order recursive filter will only have a single frequency-dependent component...

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Scale space implementation

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operator. For small scales, a low-order FIR filter may be a better smoothing filter than a recursive filter. The symmetric 3-kernel [t/2, 1-t, t/2], for...

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Recursive Bayesian estimation

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probability theory, statistics, and machine learning, recursive Bayesian estimation, also known as a Bayes filter, is a general probabilistic approach for estimating...

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Nonrecursive filter

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In mathematics, a nonrecursive filter only uses input values like x[n − 1], unlike recursive filter where it uses previous output values like y[n − 1]...

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Bayer filter

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Kodak. Bayer is also known for his recursively defined matrix used in ordered dithering. Alternatives to the Bayer filter include both various modifications...

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FIR transfer function

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type of filter is non-recursive, which means that the output can be completely derived from a combination of the input without any recursive values of...

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Digital biquad filter

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In signal processing, a digital biquad filter is a second order recursive linear filter, containing two poles and two zeros. "Biquad" is an abbreviation...

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Polyphase quadrature filter

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typically a FIR filter with a length of 10*N ... 24*N taps. Note that it is also possible to build PQF filters using recursive IIR filters. There are different...

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Chebyshev filter

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Chebyshev filters are analog or digital filters that have a steeper roll-off than Butterworth filters, and have either passband ripple (type I) or stopband...

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Gaussian blur

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often be numerically well approximated by a small set of first-order recursive filters coupled in cascade, see for further details. Gaussian smoothing is...

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Gabor filter

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the Gabor filter has been developed in based on replacing the Gaussian kernel in the Gabor function with a time-causal and time-recursive kernel referred...

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Bessel filter

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In electronics and signal processing, a Bessel filter is a type of analog linear filter with a maximally flat group delay (i.e., maximally linear phase...

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Adaptive filter

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Squares (LMS) filter and the Recursive Least Squares (RLS) filter are types of adaptive filter. There are two input signals to the adaptive filter: d k {\displaystyle...

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Convolutional code

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impulse response (FIR) filter, while a recursive convolutional code might be considered an Infinite impulse response (IIR) filter. Convolutional codes are...

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Tail call

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target of a tail is the same subroutine, the subroutine is said to be tail recursive, which is a special case of direct recursion. Tail recursion (or tail-end...

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Extended Kalman filter

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{z}}_{k})} . The iterated extended Kalman filter improves the linearization of the extended Kalman filter by recursively modifying the centre point of the Taylor...

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PNG

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Interchange Format (GIF)—unofficially, the initials PNG stood for the recursive acronym "PNG's not GIF". PNG supports palette-based images (with palettes...

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Exponential smoothing

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processing, acting as low-pass filters to remove high-frequency noise. This method is preceded by Poisson's use of recursive exponential window functions...

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Recurrence relation

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Solving a recurrence relation means obtaining a closed-form solution: a non-recursive function of n {\displaystyle n} . The concept of a recurrence relation...

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Edge detection

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viewpoint and then leading to a set of recursive filters for image smoothing instead of exponential filters or Gaussian filters. The differential edge detector...

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Least mean squares filter

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squares (LMS) algorithms are a class of adaptive filter used to mimic a desired filter by finding the filter coefficients that relate to producing the least...

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