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Digital filter, the Glossary

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]

63 relations: Adaptive filter, Algorithm, Analog signal, Analog-to-digital converter, Analogue filter, Anti-aliasing filter, Application-specific integrated circuit, AV receiver, Bessel filter, Bilinear transform, Block diagram, 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, Frequency domain, High-pass filter, Impulse response, Infinite impulse response, Johnson–Nyquist noise, Kalman filter, Kronecker delta, Linear map, Linear phase, Linkwitz–Riley filter, Low-pass filter, Matched filter, Mobile phone, Nonlinear system, Nonrecursive filter, Printed circuit board, Radio, Recurrence relation, Recursive filter, Rudolf E. Kálmán, Sampling (signal processing), ... Expand index (13 more) »
Signal processing filter
Synthesiser modules

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. Digital filter and adaptive filter are digital signal processing.

See Digital filter and Adaptive filter

Algorithm

In mathematics and computer science, an algorithm is a finite sequence of mathematically rigorous instructions, typically used to solve a class of specific problems or to perform a computation.

See Digital filter and Algorithm

Analog signal

An analog signal is any continuous-time signal representing some other quantity, i.e., analogous to another quantity.

See Digital filter and Analog signal

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. Digital filter and analog-to-digital converter are digital signal processing.

See Digital filter and Analog-to-digital converter

Analogue filter

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

See Digital filter and Analogue filter

Anti-aliasing filter

An anti-aliasing filter (AAF) is a filter used before a signal sampler to restrict the bandwidth of a signal to satisfy the Nyquist–Shannon sampling theorem over the band of interest. Digital filter and anti-aliasing filter are digital signal processing.

See Digital filter and Anti-aliasing filter

Application-specific integrated circuit

An application-specific integrated circuit (ASIC) is an integrated circuit (IC) chip customized for a particular use, rather than intended for general-purpose use, such as a chip designed to run in a digital voice recorder or a high-efficiency video codec.

See Digital filter and Application-specific integrated circuit

AV receiver

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

See Digital filter and AV receiver

Bessel filter

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 response), which preserves the wave shape of filtered signals in the passband.

See Digital filter and Bessel filter

Bilinear transform

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

See Digital filter and Bilinear transform

Block diagram

A block diagram is a diagram of a system in which the principal parts or functions are represented by blocks connected by lines that show the relationships of the blocks.

See Digital filter and Block diagram

Butterworth filter

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

See Digital filter and Butterworth filter

Causal filter

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

See Digital filter and Causal filter

Chebyshev filter

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 ripple (type II).

See Digital filter and Chebyshev filter

Digital biquad filter

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

See Digital filter and Digital biquad filter

Digital signal processor

A digital signal processor (DSP) is a specialized microprocessor chip, with its architecture optimized for the operational needs of digital signal processing. Digital filter and digital signal processor are digital signal processing.

See Digital filter and Digital signal processor

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. Digital filter and digital-to-analog converter are digital signal processing.

See Digital filter and Digital-to-analog converter

Discrete time and continuous time

In mathematical dynamics, discrete time and continuous time are two alternative frameworks within which variables that evolve over time are modeled.

See Digital filter and Discrete time and continuous time

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.

See Digital filter and Electronic circuit

Electronic filter

Electronic filters are a type of signal processing filter in the form of electrical circuits. Digital filter and Electronic filter are signal processing filter.

See Digital filter and Electronic filter

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.

See Digital filter and Elliptic filter

Fast Fourier transform

A fast Fourier transform (FFT) is an algorithm that computes the Discrete Fourier Transform (DFT) of a sequence, or its inverse (IDFT). Digital filter and fast Fourier transform are digital signal processing.

See Digital filter and Fast Fourier transform

Field-programmable analog array

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

See Digital filter and Field-programmable analog array

Field-programmable gate array

A field-programmable gate array (FPGA) is a type of configurable integrated circuit that can be repeatedly programmed after manufacturing.

See Digital filter and Field-programmable gate array

Filter design

Filter design is the process of designing a signal processing filter that satisfies a set of requirements, some of which may be conflicting. Digital filter and filter design are digital signal processing and signal processing filter.

See Digital filter and Filter design

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. Digital filter and finite impulse response are digital signal processing.

See Digital filter and Finite impulse response

Fixed-point arithmetic

In computing, fixed-point is a method of representing fractional (non-integer) numbers by storing a fixed number of digits of their fractional part.

See Digital filter and Fixed-point arithmetic

Floating-point arithmetic

In computing, floating-point arithmetic (FP) is arithmetic that represents subsets of real numbers using an integer with a fixed precision, called the significand, scaled by an integer exponent of a fixed base.

See Digital filter and Floating-point arithmetic

Fraction

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

See Digital filter and Fraction

Frequency domain

In mathematics, physics, electronics, control systems engineering, and statistics, the frequency domain refers to the analysis of mathematical functions or signals with respect to frequency (and possibly phase), rather than time, as in time series.

See Digital filter and Frequency domain

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. Digital filter and high-pass filter are Synthesiser modules.

See Digital filter and High-pass filter

Impulse response

In signal processing and control theory, 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.

See Digital filter and Impulse response

Infinite impulse response

Infinite impulse response (IIR) is a property applying to many linear time-invariant systems that are distinguished by having an impulse response h(t) that does not become exactly zero past a certain point but continues indefinitely. Digital filter and Infinite impulse response are digital signal processing.

See Digital filter and Infinite impulse response

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.

See Digital filter and Johnson–Nyquist noise

Kalman filter

For statistics and control theory, Kalman filtering, also known as linear quadratic estimation, is an algorithm that uses a series of measurements observed over time, including 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.

See Digital filter and Kalman filter

Kronecker delta

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

See Digital filter and Kronecker delta

Linear map

In mathematics, and more specifically in linear algebra, a linear map (also called a linear mapping, linear transformation, vector space homomorphism, or in some contexts linear function) is a mapping V \to W between two vector spaces that preserves the operations of vector addition and scalar multiplication.

See Digital filter and Linear map

Linear phase

In signal processing, linear phase is a property of a filter where the phase response of the filter is a linear function of frequency. Digital filter and linear phase are digital signal processing.

See Digital filter and Linear phase

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.

See Digital filter and Linkwitz–Riley filter

Low-pass filter

A low-pass filter is a filter that passes signals with a frequency lower than a selected cutoff frequency and attenuates signals with frequencies higher than the cutoff frequency. Digital filter and low-pass filter are Synthesiser modules.

See Digital filter and Low-pass filter

Matched filter

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

See Digital filter and Matched filter

Mobile phone

A mobile phone or cell phone 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, as opposed to a fixed-location phone (landline phone).

See Digital filter and Mobile phone

Nonlinear system

In mathematics and science, a nonlinear system (or a non-linear system) is a system in which the change of the output is not proportional to the change of the input.

See Digital filter and Nonlinear system

Nonrecursive filter

In mathematics, a nonrecursive filter only uses input values like x, unlike recursive filter where it uses previous output values like y. In signal processing, 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.

See Digital filter and Nonrecursive filter

References

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

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

, Savitzky–Golay filter, Signal processing, Signal-to-noise ratio, Spectral density, State-space representation, Step response, Superposition principle, Systolic array, Transfer function, Two-dimensional filter, Z-transform, Zeros and poles, 1.

Digital filter, the Glossary

Table of Contents

See also

Signal processing filter

Synthesiser modules

References