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Digital filter

Index Digital filter

In signal processing, a digital filter is a system that performs mathematical operations on a sampled, discrete-time signal to reduce or enhance certain aspects of that signal. [1]

55 relations: Adaptive filter, Analog signal, Analog-to-digital converter, Analogue filter, Anti-aliasing filter, Application-specific integrated circuit, AV receiver, Bessel filter, Bilinear transform, Butterworth filter, Causal filter, Chebyshev filter, Digital biquad filter, Digital signal processor, Digital-to-analog converter, Discrete time and continuous time, Electronic circuit, Electronic filter, Elliptic filter, Fast Fourier transform, Field-programmable analog array, Field-programmable gate array, Filter design, Finite impulse response, Fixed-point arithmetic, Floating-point arithmetic, Fraction (mathematics), Frequency domain, High-pass filter, Impulse response, Infinite impulse response, Johnson–Nyquist noise, Kalman filter, Kronecker delta, Linkwitz–Riley filter, Low-pass filter, Matched filter, Mobile phone, Nonrecursive filter, Printed circuit board, Radio, Recurrence relation, Recursive filter, Rudolf E. Kálmán, Sampling (signal processing), Savitzky–Golay filter, Signal, Signal processing, Signal-to-noise ratio, Spectral density, ..., State-space representation, Systolic array, Transfer function, Z-transform, 1. Expand index (5 more) »

Adaptive filter

An adaptive filter is a system with a linear filter that has a transfer function controlled by variable parameters and a means to adjust those parameters according to an optimization algorithm.

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Analog signal

An analog signal is any continuous signal for which the time varying feature (variable) of the signal is a representation of some other time varying quantity, i.e., analogous to another time varying signal.

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Analog-to-digital converter

In electronics, an analog-to-digital converter (ADC, A/D, or A-to-D) is a system that converts an analog signal, such as a sound picked up by a microphone or light entering a digital camera, into a digital signal.

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Analogue filter

Analogue filters are a basic building block of signal processing much used in electronics.

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Anti-aliasing filter

An anti-aliasing filter (AAF) is a filter used before a signal sampler to restrict the bandwidth of a signal to approximately or completely satisfy the sampling theorem over the band of interest.

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Application-specific integrated circuit

An Application-Specific Integrated Circuit (ASIC), is an integrated circuit (IC) customized for a particular use, rather than intended for general-purpose use.

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AV receiver

An audio/video receiver (AVR) is a consumer electronics component used in a home theater.

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Bessel filter

In electronics and signal processing, a Bessel filter is a type of analog linear filter with a maximally flat group/phase delay (maximally linear phase response), which preserves the wave shape of filtered signals in the passband.

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Bilinear transform

The bilinear transform (also known as Tustin's method) is used in digital signal processing and discrete-time control theory to transform continuous-time system representations to discrete-time and vice versa.

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Butterworth filter

The Butterworth filter is a type of signal processing filter designed to have a frequency response as flat as possible in the passband.

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Causal filter

In signal processing, a causal filter is a linear and time-invariant causal system.

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Chebyshev filter

Chebyshev filters are analog or digital filters having a steeper roll-off and more passband ripple (type I) or stopband ripple (type II) than Butterworth filters.

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Digital biquad filter

In signal processing, a digital biquad filter is a second-order recursive linear filter, containing two poles and two zeros.

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Digital signal processor

A digital signal processor (DSP) is a specialized microprocessor (or a SIP block), with its architecture optimized for the operational needs of digital signal processing.

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Digital-to-analog converter

In electronics, a digital-to-analog converter (DAC, D/A, D2A, or D-to-A) is a system that converts a digital signal into an analog signal.

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Discrete time and continuous time

In mathematics and in particular mathematical dynamics, discrete time and continuous time are two alternative frameworks within which to model variables that evolve over time.

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Electronic circuit

An electronic circuit is composed of individual electronic components, such as resistors, transistors, capacitors, inductors and diodes, connected by conductive wires or traces through which electric current can flow.

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Electronic filter

Electronic filters are circuits which perform signal processing functions, specifically to remove unwanted frequency components from the signal, to enhance wanted ones, or both.

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Elliptic filter

An elliptic filter (also known as a Cauer filter, named after Wilhelm Cauer, or as a Zolotarev filter, after Yegor Zolotarev) is a signal processing filter with equalized ripple (equiripple) behavior in both the passband and the stopband.

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Fast Fourier transform

A fast Fourier transform (FFT) is an algorithm that samples a signal over a period of time (or space) and divides it into its frequency components.

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Field-programmable analog array

A field-programmable analog array (FPAA) is an integrated device containing configurable analog blocks (CAB) and interconnects between these blocks.

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Field-programmable gate array

A field-programmable gate array (FPGA) is an integrated circuit designed to be configured by a customer or a designer after manufacturing hence "field-programmable".

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Filter design

Filter design is the process of designing a signal processing filter that satisfies a set of requirements, some of which are contradictory.

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Finite impulse response

In signal processing, a finite impulse response (FIR) filter is a filter whose impulse response (or response to any finite length input) is of finite duration, because it settles to zero in finite time.

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Fixed-point arithmetic

In computing, a fixed-point number representation is a real data type for a number that has a fixed number of digits after (and sometimes also before) the radix point (after the decimal point '.' in English decimal notation).

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Floating-point arithmetic

In computing, floating-point arithmetic is arithmetic using formulaic representation of real numbers as an approximation so as to support a trade-off between range and precision.

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Fraction (mathematics)

A fraction (from Latin fractus, "broken") represents a part of a whole or, more generally, any number of equal parts.

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Frequency domain

In electronics, control systems engineering, and statistics, the frequency domain refers to the analysis of mathematical functions or signals with respect to frequency, rather than time.

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High-pass filter

A high-pass filter (HPF) is an electronic filter that passes signals with a frequency higher than a certain cutoff frequency and attenuates signals with frequencies lower than the cutoff frequency.

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Impulse response

In signal processing, the impulse response, or impulse response function (IRF), of a dynamic system is its output when presented with a brief input signal, called an impulse.

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Infinite impulse response

Infinite impulse response (IIR) is a property applying to many linear time-invariant systems.

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Johnson–Nyquist noise

Johnson–Nyquist noise (thermal noise, Johnson noise, or Nyquist noise) is the electronic noise generated by the thermal agitation of the charge carriers (usually the electrons) inside an electrical conductor at equilibrium, which happens regardless of any applied voltage.

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Kalman filter

Kalman filtering, also known as linear quadratic estimation (LQE), is an algorithm that uses a series of measurements observed over time, containing statistical noise and other inaccuracies, and produces estimates of unknown variables that tend to be more accurate than those based on a single measurement alone, by estimating a joint probability distribution over the variables for each timeframe.

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Kronecker delta

In mathematics, the Kronecker delta (named after Leopold Kronecker) is a function of two variables, usually just non-negative integers.

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Linkwitz–Riley filter

A Linkwitz–Riley (L-R) filter is an infinite impulse response filter used in Linkwitz–Riley audio crossovers, named after its inventors Siegfried Linkwitz and Russ Riley, which was originally described in Active Crossover Networks for Noncoincident Drivers in.

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Low-pass filter

A low-pass filter (LPF) is a filter that passes signals with a frequency lower than a certain cutoff frequency and attenuates signals with frequencies higher than the cutoff frequency.

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Matched filter

In signal processing, a matched filter is obtained by correlating a known signal, or template, with an unknown signal to detect the presence of the template in the unknown signal.

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Mobile phone

A mobile phone, known as a cell phone in North America, is a portable telephone that can make and receive calls over a radio frequency link while the user is moving within a telephone service area.

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Nonrecursive filter

A non-recursive filter only uses input values like x, unlike recursive filter where it uses previous output values like y. Non-recursive digital filters are often known as Finite Impulse Response (FIR) Filters as a non-recursive digital filter has a finite number of coefficients in the impulse response h. Non-recursive Filter Example: y.

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Printed circuit board

A printed circuit board (PCB) mechanically supports and electrically connects electronic components or electrical components using conductive tracks, pads and other features etched from one or more sheet layers of copper laminated onto and/or between sheet layers of a non-conductive substrate.

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Radio

Radio is the technology of using radio waves to carry information, such as sound, by systematically modulating properties of electromagnetic energy waves transmitted through space, such as their amplitude, frequency, phase, or pulse width.

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Recurrence relation

In mathematics, a recurrence relation is an equation that recursively defines a sequence or multidimensional array of values, once one or more initial terms are given: each further term of the sequence or array is defined as a function of the preceding terms.

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Recursive filter

In signal processing, a recursive filter is a type of filter which re-uses one or more of its outputs as an input.

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Rudolf E. Kálmán

Rudolf Emil Kálmán (Kálmán Rudolf Emil; May 19, 1930 – July 2, 2016) was a Hungarian-born American electrical engineer, mathematician, and inventor.

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Sampling (signal processing)

In signal processing, sampling is the reduction of a continuous-time signal to a discrete-time signal.

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Savitzky–Golay filter

A Savitzky–Golay filter is a digital filter that can be applied to a set of digital data points for the purpose of smoothing the data, that is, to increase the signal-to-noise ratio without greatly distorting the signal.

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Signal

A signal as referred to in communication systems, signal processing, and electrical engineering is a function that "conveys information about the behavior or attributes of some phenomenon".

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Signal processing

Signal processing concerns the analysis, synthesis, and modification of signals, which are broadly defined as functions conveying "information about the behavior or attributes of some phenomenon", such as sound, images, and biological measurements.

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Signal-to-noise ratio

Signal-to-noise ratio (abbreviated SNR or S/N) is a measure used in science and engineering that compares the level of a desired signal to the level of background noise.

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Spectral density

The power spectrum S_(f) of a time series x(t) describes the distribution of power into frequency components composing that signal.

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State-space representation

In control engineering, a state-space representation is a mathematical model of a physical system as a set of input, output and state variables related by first-order differential equations or difference equations.

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Systolic array

In parallel computer architectures, a systolic array is a homogeneous network of tightly coupled data processing units (DPUs) called cells or nodes.

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Transfer function

In engineering, a transfer function (also known as system function or network function) of an electronic or control system component is a mathematical function giving the corresponding output value for each possible value of the input to the device.

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Z-transform

In mathematics and signal processing, the Z-transform converts a discrete-time signal, which is a sequence of real or complex numbers, into a complex frequency domain representation.

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1

1 (one, also called unit, unity, and (multiplicative) identity) is a number, numeral, and glyph.

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Redirects here:

Comparison of analog and digital filters, Digital filters, Discrete-time filter.

References

[1] https://en.wikipedia.org/wiki/Digital_filter

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