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Stagger-tuned Amplifier
Staggered tuning is a technique used in the design of multi-stage tuned amplifiers whereby each stage is tuned to a slightly different frequency. In comparison to synchronous tuning (where each stage is tuned identically) it produces a wider bandwidth at the expense of reduced gain. It also produces a sharper transition from the passband to the stopband. Both staggered tuning and synchronous tuning circuits are easier to tune and manufacture than many other filter types. The function of stagger-tuned circuits can be expressed as a rational function and hence they can be designed to any of the major filter responses such as Butterworth and Chebyshev. The poles of the circuit are easy to manipulate to achieve the desired response because of the amplifier buffering between stages. Applications include television IF amplifiers (mostly 20th century receivers) and wireless LAN. Rationale Staggered tuning improves the bandwidth of a multi-stage tuned amplifier at the exp ...
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Tuned Amplifier
A tuned amplifier is an electronic amplifier which includes bandpass filtering components within the amplifier circuitry. They are widely used in a variety of wireless applications. Schemes There are several tuning schemes in use, * Staggered tuning where each amplifier stage is tuned to a slightly different frequency. * Synchronous tuning (explained in more detail in the staggered tuning article) where each amplifier stage is tuned identically. This scheme maximises the amplifier gain but has narrower bandwidth than staggered tuning. * Double-tuned amplifier. This scheme is used on amplifier stages that are transformer-coupled rather than capacitor coupled. Both the primary and secondary coils of the transformer are tuned. This has the effect of widening the bandwidth. Other tuning schemes are sometimes called single-tuned to distinguish them. Variable tuning The radio frequency, RF amplifier stages of radio receivers require variable tuning to select the station, usu ...
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Fractional Bandwidth
Bandwidth is the difference between the upper and lower frequencies in a continuous band of frequencies. It is typically measured in hertz, and depending on context, may specifically refer to ''passband bandwidth'' or ''baseband bandwidth''. Passband bandwidth is the difference between the upper and lower cutoff frequencies of, for example, a band-pass filter, a communication channel, or a signal spectrum. Baseband bandwidth applies to a low-pass filter or baseband signal; the bandwidth is equal to its upper cutoff frequency. Bandwidth in hertz is a central concept in many fields, including electronics, information theory, digital communications, radio communications, signal processing, and spectroscopy and is one of the determinants of the capacity of a given communication channel. A key characteristic of bandwidth is that any band of a given width can carry the same amount of information, regardless of where that band is located in the frequency spectrum. For example, a 3& ...
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Stagger Tuned Plot With Q
Stagger or staggered may refer to: *Stagger (aeronautics), the horizontal positioning of a plane's wings *Stagger, a motorsport term for the difference in size between right and left tires * ''Stagger'' (EP), by Poppy, 2022 * ''Staggered'' (film), a 1994 British romantic comedy film *Staggered Board of Directors, a method of electing directors of a company or other organization *Staggered conformation, a chemical conformation of an ethane-like moiety *Staggered elections, a method of electing members of government *Staggered fermion, a model in quantum mechanics *Staggered junction, a place where roads meet a main road at a slight distance apart *Staggered Pin Grid Array, a style of arranging pins on an integrated circuit package *Staggered spinup Spin-up refers to the process of a hard disk drive or optical disc drive accelerating its platters or inserted optical disc from a stopped state to an operational speed. The period of time taken by the drive to perform this proce ...
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Stagger Tuned Plot
Stagger or staggered may refer to: *Stagger (aeronautics), the horizontal positioning of a plane's wings *Stagger, a motorsport term for the difference in size between right and left tires * ''Stagger'' (EP), by Poppy, 2022 * ''Staggered'' (film), a 1994 British romantic comedy film *Staggered Board of Directors, a method of electing directors of a company or other organization *Staggered conformation, a chemical conformation of an ethane-like moiety *Staggered elections, a method of electing members of government *Staggered fermion, a model in quantum mechanics *Staggered junction, a place where roads meet a main road at a slight distance apart *Staggered Pin Grid Array, a style of arranging pins on an integrated circuit package *Staggered spinup Spin-up refers to the process of a hard disk drive or optical disc drive accelerating its platters or inserted optical disc from a stopped state to an operational speed. The period of time taken by the drive to perform this proce ...
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Angular Frequency
In physics, angular frequency "''ω''" (also referred to by the terms angular speed, circular frequency, orbital frequency, radian frequency, and pulsatance) is a scalar measure of rotation rate. It refers to the angular displacement per unit time (for example, in rotation) or the rate of change of the phase of a sinusoidal waveform (for example, in oscillations and waves), or as the rate of change of the argument of the sine function. Angular frequency (or angular speed) is the magnitude of the pseudovector quantity angular velocity.(UP1) One turn is equal to 2''π'' radians, hence \omega = \frac = , where: *''ω'' is the angular frequency (unit: radians per second), *''T'' is the period (unit: seconds), *''f'' is the ordinary frequency (unit: hertz) (sometimes ''ν''). Units In SI units, angular frequency is normally presented in radians per second, even when it does not express a rotational value. The unit hertz (Hz) is dimensionally equivalent, but by convention it ...
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Imaginary Unit
The imaginary unit or unit imaginary number () is a solution to the quadratic equation x^2+1=0. Although there is no real number with this property, can be used to extend the real numbers to what are called complex numbers, using addition and multiplication. A simple example of the use of in a complex number is 2+3i. Imaginary numbers are an important mathematical concept; they extend the real number system \mathbb to the complex number system \mathbb, in which at least one root for every nonconstant polynomial exists (see Algebraic closure and Fundamental theorem of algebra). Here, the term "imaginary" is used because there is no real number having a negative square. There are two complex square roots of −1: and -i, just as there are two complex square roots of every real number other than zero (which has one double square root). In contexts in which use of the letter is ambiguous or problematic, the letter or the Greek \iota is sometimes used instead. For example, ...
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Complex Frequency
In mathematics, the Laplace transform, named after its discoverer Pierre-Simon Laplace (), is an integral transform that converts a function of a real variable (usually t, in the ''time domain'') to a function of a complex variable s (in the complex frequency domain, also known as ''s''-domain, or s-plane). The transform has many applications in science and engineering because it is a tool for solving differential equations. In particular, it transforms ordinary differential equations into algebraic equations and convolution into multiplication. For suitable functions ''f'', the Laplace transform is the integral \mathcal\(s) = \int_0^\infty f(t)e^ \, dt. History The Laplace transform is named after mathematician and astronomer Pierre-Simon, marquis de Laplace, who used a similar transform in his work on probability theory. Laplace wrote extensively about the use of generating functions in ''Essai philosophique sur les probabilités'' (1814), and the integral form of the Laplac ...
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Stagger Tuned Amplifier Generic
Stagger or staggered may refer to: *Stagger (aeronautics), the horizontal positioning of a plane's wings *Stagger, a motorsport term for the difference in size between right and left tires * ''Stagger'' (EP), by Poppy, 2022 * ''Staggered'' (film), a 1994 British romantic comedy film *Staggered Board of Directors, a method of electing directors of a company or other organization *Staggered conformation, a chemical conformation of an ethane-like moiety *Staggered elections, a method of electing members of government *Staggered fermion, a model in quantum mechanics *Staggered junction, a place where roads meet a main road at a slight distance apart *Staggered Pin Grid Array, a style of arranging pins on an integrated circuit package *Staggered spinup Spin-up refers to the process of a hard disk drive or optical disc drive accelerating its platters or inserted optical disc from a stopped state to an operational speed. The period of time taken by the drive to perform this proce ...
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Transconductance
Transconductance (for transfer conductance), also infrequently called mutual conductance, is the electrical characteristic relating the current through the output of a device to the voltage across the input of a device. Conductance is the reciprocal of resistance. Transadmittance (or transfer admittance) is the AC equivalent of transconductance. Definition Transconductance is very often denoted as a conductance, ''g''m, with a subscript, m, for ''mutual''. It is defined as follows: :g_m = \frac For small signal alternating current, the definition is simpler: :g_m = \frac The SI unit for transconductance is the siemens, with the symbol S, as in conductance. Transresistance Transresistance (for transfer resistance), also infrequently referred to as mutual resistance, is the dual of transconductance. It refers to the ratio between a change of the voltage at two output points and a related change of current through two input points, and is notated as ''r''m: :r_m = \frac ...
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Coupling Coefficient Of Resonators
The coupling coefficient of resonators is a dimensionless value that characterizes interaction of two resonators. Coupling coefficients are used in resonator filter theory. Resonators may be both electromagnetic and acoustic. Coupling coefficients together with resonant frequencies and external quality factors of resonators are the generalized parameters of filters. In order to adjust the frequency response of the filter it is sufficient to optimize only these generalized parameters. Evolution of the term This term was first introduced in filter theory by M Dishal. In some degree it is an analog of coupling coefficient of coupled inductors. Meaning of this term has been improved many times with progress in theory of coupled resonators and filters. Later definitions of the coupling coefficient are generalizations or refinements of preceding definitions. Coupling coefficient considered as a positive constant Earlier well-known definitions of the coupling coefficient of resonato ...
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Ladder Network
Electronic filter topology defines electronic filter circuits without taking note of the values of the components used but only the manner in which those components are connected. Filter design characterises filter circuits primarily by their transfer function rather than their topology. Transfer functions may be linear or nonlinear. Common types of linear filter transfer function are; high-pass, low-pass, bandpass, band-reject or notch and all-pass. Once the transfer function for a filter is chosen, the particular topology to implement such a prototype filter can be selected so that, for example, one might choose to design a Butterworth filter using the Sallen–Key topology. Filter topologies may be divided into passive and active types. Passive topologies are composed exclusively of passive components: resistors, capacitors, and inductors. Active topologies also include active components (such as transistors, op amps, and other integrated circuits) that require po ...
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Wave Trap
In signal processing, a band-stop filter or band-rejection filter is a filter that passes most frequencies unaltered, but attenuates those in a specific range to very low levels. It is the opposite of a band-pass filter. A notch filter is a band-stop filter with a narrow stopband (high Q factor). Narrow notch filters (optical) are used in Raman spectroscopy, live sound reproduction (public address systems, or PA systems) and in instrument amplifiers (especially amplifiers or preamplifiers for acoustic instruments such as acoustic guitar, mandolin, bass instrument amplifier, etc.) to reduce or prevent audio feedback, while having little noticeable effect on the rest of the frequency spectrum (electronic or software filters). Other names include "band limit filter", "T-notch filter", "band-elimination filter", and "band-reject filter". Typically, the width of the stopband is 1 to 2 decades (that is, the highest frequency attenuated is 10 to 100 times the lowest frequency ...
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