Sinc filter, the Glossary
In signal processing, a sinc filter can refer to either a sinc-in-time filter whose impulse response is a sinc function and whose frequency response is rectangular, or to a sinc-in-frequency filter whose impulse response is rectangular and whose frequency response is a sinc function.[1]
Table of Contents
43 relations: Absolute value, Aliasing, Analog Devices, Anti-aliasing filter, Band-pass filter, Bandwidth (signal processing), Baseband, BIBO stability, Boxcar function, Cascaded integrator–comb filter, Causal filter, Convolution, Cutoff frequency, DC bias, Decibel, Dirac delta function, Downsampling (signal processing), Electronic filter, Equalization (audio), Filter (signal processing), Finite impulse response, Frequency domain, Frequency response, High-pass filter, Impulse response, Lanczos resampling, Linear differential equation, Linear phase, Low-pass filter, Moving average, Nyquist frequency, Nyquist–Shannon sampling theorem, Operational amplifier applications, Phase (waves), Rectangular function, Signal processing, Sinc function, Support (mathematics), Time domain, Transfer function, Transmission zeroes, Whittaker–Shannon interpolation formula, Window function.
- Filter frequency response
Absolute value
In mathematics, the absolute value or modulus of a real number x, is the non-negative value without regard to its sign.
See Sinc filter and Absolute value
Aliasing
In signal processing and related disciplines, aliasing is the overlapping of frequency components resulting from a sample rate below the Nyquist rate. Sinc filter and aliasing are digital signal processing and signal processing.
Analog Devices
Analog Devices, Inc. (ADI), also known simply as Analog, is an American multinational semiconductor company specializing in data conversion, signal processing, and power management technology, headquartered in Wilmington, Massachusetts.
See Sinc filter and Analog Devices
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. Sinc filter and anti-aliasing filter are digital signal processing.
See Sinc filter and Anti-aliasing filter
Band-pass filter
A band-pass filter or bandpass filter (BPF) is a device that passes frequencies within a certain range and rejects (attenuates) frequencies outside that range. Sinc filter and band-pass filter are filter frequency response.
See Sinc filter and Band-pass filter
Bandwidth (signal processing)
Bandwidth is the difference between the upper and lower frequencies in a continuous band of frequencies. Sinc filter and Bandwidth (signal processing) are filter frequency response and signal processing.
See Sinc filter and Bandwidth (signal processing)
Baseband
In telecommunications and signal processing, baseband is the range of frequencies occupied by a signal that has not been modulated to higher frequencies. Sinc filter and baseband are signal processing.
BIBO stability
In signal processing, specifically control theory, bounded-input, bounded-output (BIBO) stability is a form of stability for signals and systems that take inputs. Sinc filter and BIBO stability are digital signal processing and signal processing.
See Sinc filter and BIBO stability
Boxcar function
In mathematics, a boxcar function is any function which is zero over the entire real line except for a single interval where it is equal to a constant, A. The function is named after its graph's resemblance to a boxcar, a type of railroad car.
See Sinc filter and Boxcar function
Cascaded integrator–comb filter
In digital signal processing, a cascaded integrator–comb (CIC) is a computationally efficient class of low-pass finite impulse response (FIR) filter that chains N number of integrator and comb filter pairs (where N is the filter's order) to form a decimator or interpolator. Sinc filter and cascaded integrator–comb filter are digital signal processing.
See Sinc filter and Cascaded integrator–comb filter
Causal filter
In signal processing, a causal filter is a linear and time-invariant causal system. Sinc filter and causal filter are filter theory and signal processing.
See Sinc filter and Causal filter
Convolution
In mathematics (in particular, functional analysis), convolution is a mathematical operation on two functions (f and g) that produces a third function (f*g).
See Sinc filter and Convolution
Cutoff frequency
In physics and electrical engineering, a cutoff frequency, corner frequency, or break frequency is a boundary in a system's frequency response at which energy flowing through the system begins to be reduced (attenuated or reflected) rather than passing through. Sinc filter and cutoff frequency are filter theory.
See Sinc filter and Cutoff frequency
DC bias
In signal processing, when describing a periodic function in the time domain, the DC bias, DC component, DC offset, or DC coefficient is the mean value of the waveform.
Decibel
The decibel (symbol: dB) is a relative unit of measurement equal to one tenth of a bel (B).
Dirac delta function
In mathematical analysis, the Dirac delta function (or distribution), also known as the unit impulse, is a generalized function on the real numbers, whose value is zero everywhere except at zero, and whose integral over the entire real line is equal to one. Sinc filter and Dirac delta function are digital signal processing.
See Sinc filter and Dirac delta function
Downsampling (signal processing)
In digital signal processing, downsampling, compression, and decimation are terms associated with the process of ''resampling'' in a multi-rate digital signal processing system. Sinc filter and downsampling (signal processing) are digital signal processing and signal processing.
See Sinc filter and Downsampling (signal processing)
Electronic filter
Electronic filters are a type of signal processing filter in the form of electrical circuits.
See Sinc filter and Electronic filter
Equalization (audio)
Equalization, or simply EQ, in sound recording and reproduction is the process of adjusting the volume of different frequency bands within an audio signal.
See Sinc filter and Equalization (audio)
Filter (signal processing)
In signal processing, a filter is a device or process that removes some unwanted components or features from a signal. Sinc filter and filter (signal processing) are filter theory and signal processing.
See Sinc filter and Filter (signal processing)
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. Sinc filter and finite impulse response are digital signal processing and filter theory.
See Sinc filter and Finite impulse response
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 Sinc filter and Frequency domain
Frequency response
In signal processing and electronics, the frequency response of a system is the quantitative measure of the magnitude and phase of the output as a function of input frequency. Sinc filter and frequency response are signal processing.
See Sinc filter and Frequency response
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. Sinc filter and high-pass filter are filter frequency response.
See Sinc 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 Sinc filter and Impulse response
Lanczos resampling
Lanczos filtering and Lanczos resampling are two applications of a mathematical formula. Sinc filter and Lanczos resampling are signal processing.
See Sinc filter and Lanczos resampling
Linear differential equation
In mathematics, a linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives, that is an equation of the form a_0(x)y + a_1(x)y' + a_2(x)y \cdots + a_n(x)y^.
See Sinc filter and Linear differential equation
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. Sinc filter and linear phase are digital signal processing.
See Sinc filter and Linear phase
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. Sinc filter and low-pass filter are filter frequency response and signal processing.
See Sinc filter and Low-pass filter
Moving average
In statistics, a moving average (rolling average or running average or moving mean or rolling mean) is a calculation to analyze data points by creating a series of averages of different selections of the full data set.
See Sinc filter and Moving average
Nyquist frequency
In signal processing, the Nyquist frequency (or folding frequency), named after Harry Nyquist, is a characteristic of a sampler, which converts a continuous function or signal into a discrete sequence. Sinc filter and Nyquist frequency are digital signal processing.
See Sinc filter and Nyquist frequency
Nyquist–Shannon sampling theorem
The Nyquist–Shannon sampling theorem is an essential principle for digital signal processing linking the frequency range of a signal and the sample rate required to avoid a type of distortion called aliasing. Sinc filter and Nyquist–Shannon sampling theorem are digital signal processing.
See Sinc filter and Nyquist–Shannon sampling theorem
Operational amplifier applications
This article illustrates some typical operational amplifier applications.
See Sinc filter and Operational amplifier applications
Phase (waves)
In physics and mathematics, the phase (symbol φ or ϕ) of a wave or other periodic function F of some real variable t (such as time) is an angle-like quantity representing the fraction of the cycle covered up to t. It is expressed in such a scale that it varies by one full turn as the variable t goes through each period (and F(t) goes through each complete cycle).
See Sinc filter and Phase (waves)
Rectangular function
The rectangular function (also known as the rectangle function, rect function, Pi function, Heaviside Pi function, gate function, unit pulse, or the normalized boxcar function) is defined as \operatorname\left(\frac\right).
See Sinc filter and Rectangular function
Signal processing
Signal processing is an electrical engineering subfield that focuses on analyzing, modifying and synthesizing signals, such as sound, images, potential fields, seismic signals, altimetry processing, and scientific measurements.
See Sinc filter and Signal processing
Sinc function
In mathematics, physics and engineering, the sinc function, denoted by, has two forms, normalized and unnormalized. Sinc filter and sinc function are signal processing.
See Sinc filter and Sinc function
Support (mathematics)
In mathematics, the support of a real-valued function f is the subset of the function domain containing the elements which are not mapped to zero.
See Sinc filter and Support (mathematics)
Time domain
Time domain refers to the analysis of mathematical functions, physical signals or time series of economic or environmental data, with respect to time.
See Sinc filter and Time domain
Transfer function
In engineering, a transfer function (also known as system function or network function) of a system, sub-system, or component is a mathematical function that models the system's output for each possible input.
See Sinc filter and Transfer function
Transmission zeroes
Generally, in a two-port network, for a finite input, there exists an output.
See Sinc filter and Transmission zeroes
Whittaker–Shannon interpolation formula
The Whittaker–Shannon interpolation formula or sinc interpolation is a method to construct a continuous-time bandlimited function from a sequence of real numbers. Sinc filter and Whittaker–Shannon interpolation formula are digital signal processing and signal processing.
See Sinc filter and Whittaker–Shannon interpolation formula
Window function
In signal processing and statistics, a window function (also known as an apodization function or tapering function) is a mathematical function that is zero-valued outside of some chosen interval. Sinc filter and window function are digital signal processing.
See Sinc filter and Window function
See also
Filter frequency response
- All-pass filter
- Band rejection
- Band-pass filter
- Band-stop filter
- Bandwidth (signal processing)
- Bode plot
- Filter transition region
- High-pass filter
- Low-pass filter
- Passband
- Roll-off
- Sinc filter
- Transition band
References
[1] https://en.wikipedia.org/wiki/Sinc_filter
Also known as Brick wall filter, Brick-wall filter, Brickwall filter, Ideal filter.