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A completely different approach to function generation is to use software instructions to generate a waveform, with provision for output. For example, a general-purpose digital computer can be used to generate the waveform; if frequency range and amplitude are acceptable, the sound card fitted to most computers can be used to output the generated wave.
An example where convolutions of generating functions are useful allows us to solve for a specific closed-form function representing the ordinary generating function for the Catalan numbers, C n. In particular, this sequence has the combinatorial interpretation as being the number of ways to insert parentheses into the product x 0 · x 1 ·⋯ ...
Integrating this with respect to Q results in an equation for the generating function of the transformation given by equation : F 3 ( p , Q ) = p Q {\displaystyle F_{3}(p,Q)={\frac {p}{Q}}} To confirm that this is the correct generating function, verify that it matches ( 1 ):
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.
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 ...
Function generators are low-frequency oscillators which feature multiple waveforms, typically sine, square, and triangle waves. Monolithic function generators are voltage-controlled. Analog phase-locked loops typically contain VCOs. High-frequency VCOs are usually used in phase-locked loops for radio receivers.
Pulse generators in a physics laboratory A pulse generator is either an electronic circuit or a piece of electronic test equipment used to generate rectangular pulses . Pulse generators are used primarily for working with digital circuits ; related function generators are used primarily for analog circuits .
An induction generator or asynchronous generator is a type of ... frequency and voltage are complex function of machine parameters, capacitance used for excitation ...
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