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An arbitrary waveform generator (AWG) is a piece of electronic test equipment used to generate electrical waveforms. [1] [2] [3] These waveforms can be either repetitive or single-shot (once only) in which case some kind of triggering source is required (internal or external). The resulting waveforms can be injected into a device under test and ...
Arbitrary waveform generators may have distortion less than -55 dB below 50 kHz and less than -40 dB above 50 kHz. Some function generators can be phase locked to an external signal source, which may be a frequency reference or another function generator. Amplitude modulation (AM), frequency modulation (FM), or phase modulation (PM) may be ...
An arbitrary waveform generator (AWG or ARB) is a sophisticated signal generator that generates arbitrary waveforms within published limits of frequency range, accuracy, and output level. Unlike a function generator that produces a small set of specific waveforms, an AWG allows the user to specify a source waveform in a variety of different ways.
As an example, to find the sixth element of the above sequence, we'd write 6 = 1*2 2 + 1*2 1 + 0*2 0 = 110 2, which can be inverted and placed after the decimal point to give 0.011 2 = 0*2-1 + 1*2-2 + 1*2-3 = 3 ⁄ 8. So the sequence above is the same as
A DDS function generator. Direct digital synthesis ( DDS ) is a method employed by frequency synthesizers used for creating arbitrary waveforms from a single, fixed-frequency reference clock. DDS is used in applications such as signal generation , local oscillators in communication systems, function generators , mixers, modulators , [ 1 ] sound ...
As a result, at the point , where the accuracy of the approximation may be the worst in the ordinary Padé approximation, good accuracy of the 2-point Padé approximant is guaranteed. Therefore, the 2-point Padé approximant can be a method that gives a good approximation globally for x = 0 ∼ ∞ {\displaystyle x=0\sim \infty } .
It takes n bits x 1, x 2, ..., x n as inputs and outputs n bits. The first n − 1 output bits are just x 1, ..., x n−1. The last output bit is (x 1 AND ... AND x n−1) XOR x n. The Toffoli gate can be realized by five two-qubit quantum gates, [5] but it can be shown that it is not possible using fewer than five. [6]
The original use of interpolation polynomials was to approximate values of important transcendental functions such as natural logarithm and trigonometric functions.Starting with a few accurately computed data points, the corresponding interpolation polynomial will approximate the function at an arbitrary nearby point.
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