Square wave (waveform) in the context of "Single-reed instrument"

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⭐ Core Definition: Square wave (waveform)

A square wave is a non-sinusoidal periodic waveform in which the amplitude alternates at a steady frequency between fixed minimum and maximum values, with the same duration at minimum and maximum. In an ideal square wave, the transitions between minimum and maximum are instantaneous.

The square wave is a special case of a pulse wave which allows arbitrary durations at minimum and maximum amplitudes. The ratio of the high period to the total period of a pulse wave is called the duty cycle. A true square wave has a 50% duty cycle (equal high and low periods).

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👉 Square wave (waveform) in the context of Single-reed instrument

A single-reed instrument is a woodwind instrument that uses only one reed to produce sound. The very earliest single-reed instruments were documented in ancient Egypt, ancient Greece as well as the Middle East, and the Roman Empire. The earliest types of single-reed instruments used idioglottal reeds, where the vibrating reed is a tongue cut and shaped on the tube of cane. Much later, single-reed instruments started using heteroglottal reeds, where a reed is cut and separated from the tube of cane and attached to a mouthpiece of some sort. By contrast, in a double reed instrument (such as the oboe and bassoon), there is no mouthpiece; the two parts of the reed vibrate against one another. Reeds are traditionally made of cane and produce sound when air is blown across or through them. The type of instruments that use a single reed are clarinets and saxophone. The timbre of a single and double reed instrument is related to the harmonic series caused by the shape of the corpus. E.g. the clarinet is only including the odd harmonics due to air column modes canceling out the even harmonics. This may be compared to the timbre of a square wave.

Most single-reed instruments are descended from single-reed idioglot instruments called 'memet', found in Egypt as early as 2700 BCE. Due to their fragility, no instruments from antiquity were preserved but iconographic evidence is prevalent. During the Old Kingdom in Egypt (2778–2723 BCE), memets were depicted on the reliefs of seven tombs at Saqqarra, six tombs at Giza, and the pyramids of Queen Khentkaus. Most memets were double-clarinets, where two reed tubes were tied or glued together to form one instrument. Multiple pipes were used to reinforce sound or generate a strong beat-tone with slight variations in tuning among the pipes. One of the tubes usually functioned as a drone, but the design of these simple instruments varied endlessly. The entire reed entered the mouth, meaning that the player could not easily articulate so melodies were defined by quick movement of the fingers on the tone holes. These types of double-clarinets are still prevalent today, but also developed into simplified single-clarinets and hornpipes. Modern-day idioglots found in Egypt include the arghul and the zummara.

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Square wave (waveform) in the context of Alternating current

Alternating current (AC) is an electric current that periodically reverses direction and changes its magnitude continuously with time, in contrast to direct current (DC), which flows only in one direction. Alternating current is the form in which electric power is delivered to businesses and residences, and it is the form of electrical energy that consumers typically use when they plug kitchen appliances, televisions, fans and electric lamps into a wall socket. The abbreviations AC and DC are often used to mean simply alternating and direct, respectively, as when they modify current or voltage.

The usual waveform of alternating current in most electric power circuits is a sine wave, whose positive half-period corresponds with positive direction of the current and vice versa (the full period is called a cycle). "Alternating current" most commonly refers to power distribution, but a wide range of other applications are technically alternating current although it is less common to describe them by that term. In many applications, like guitar amplifiers, different waveforms are used, such as triangular waves or square waves. Audio and radio signals carried on electrical wires are also examples of alternating current. These types of alternating current carry information such as sound (audio) or images (video) sometimes carried by modulation of an AC carrier signal. These currents typically alternate at higher frequencies than those used in power transmission.

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Square wave (waveform) in the context of Waveform

In electronics, acoustics, and related fields, the waveform of a signal is the shape of its graph as a function of time, independent of its time and magnitude scales and of any displacement in time. Periodic waveforms repeat regularly at a constant period. The term can also be used for non-periodic or aperiodic signals, like chirps and pulses.

In electronics, the term is usually applied to time-varying voltages, currents, or electromagnetic fields. In acoustics, it is usually applied to steady periodic sounds — variations of pressure in air or other media. In these cases, the waveform is an attribute that is independent of the frequency, amplitude, or phase shift of the signal.

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Square wave (waveform) in the context of Triangle wave

A triangular wave or triangle wave is a non-sinusoidal waveform named for its triangular shape. It is a periodic, piecewise linear, continuous real function.

Like a square wave, the triangle wave contains only odd harmonics. However, the higher harmonics roll off much faster than in a square wave (proportional to the inverse square of the harmonic number as opposed to just the inverse).

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Square wave (waveform) in the context of Clipping (audio)

Clipping is a form of waveform distortion that occurs when an amplifier is overdriven and attempts to deliver an output voltage or current beyond its maximum capability. Driving an amplifier into clipping may cause it to output power in excess of its power rating.

In the frequency domain, clipping produces strong harmonics in the high-frequency range (as the clipped waveform comes closer to a square wave). The extra high-frequency weighting of the signal could make tweeter damage more likely than if the signal was not clipped.

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Square wave (waveform) in the context of Electronic oscillator

An electronic oscillator is an electronic circuit that produces a periodic, oscillating or alternating current (AC) signal, usually a sine wave, square wave or a triangle wave, powered by a direct current (DC) source. Oscillators are found in many electronic devices, such as radio receivers, television sets, radio and television broadcast transmitters, computers, computer peripherals, cellphones, radar, and many other devices.

Oscillators are often characterized by the frequency of their output signal:

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Square wave (waveform) in the context of Fourier series

A Fourier series (/ˈfʊri, -iər/) is a series expansion of a periodic function into a sum of trigonometric functions. The Fourier series is an example of a trigonometric series. By expressing a function as a sum of sines and cosines, many problems involving the function become easier to analyze because trigonometric functions are well understood. For example, Fourier series were first used by Joseph Fourier to find solutions to the heat equation. This application is possible because the derivatives of trigonometric functions fall into simple patterns. Fourier series cannot be used to approximate arbitrary functions, because most functions have infinitely many terms in their Fourier series, and the series do not always converge. Well-behaved functions, for example smooth functions, have Fourier series that converge to the original function. The coefficients of the Fourier series are determined by integrals of the function multiplied by trigonometric functions, described in Fourier series § Definition.

The study of the convergence of Fourier series focus on the behaviors of the partial sums, which means studying the behavior of the sum as more and more terms from the series are summed. The figures below illustrate some partial Fourier series results for the components of a square wave.

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