Your email is safe with us, we dont spam. Surface discharge on the interface of silicone gel and DBC is a discharge phenomenon coexisting with single pulse and multiple pulses. A square wave jerk is a saccadic intrusion defined as a saccade off of fixation followed, after an intersaccadic interval (ISI), by a saccade back to fixation. When solving the wave equation, the solutions, as we have said, correspond to different types of waves. The vertical vibrations are symmetrical around the centerline. Essential idea: All waves can be described by the same sets of mathematical ideas. A square wave machine refers to a UPS power supply whose output voltage waveform is a square wave. If the system is overdamped, then the waveform may never actually reach the theoretical high and low levels, and if the system is underdamped, it will oscillate about the high and low levels before settling down. What are 3 characteristics of a sine wave? In practice, this is never achieved because of physical limitations of the system that generates the waveform. RESULTS: The THD of a waveform is calculated as the sum of the power of each harmonic, other than the fundamental, divided by the power of the fundamental. \end{align} }[/math], A square wave can also be generated using the floor function directly: In an ideal square wave, the transitions between minimum and maximum are instantaneous. Your last, or family, name, e.g. Square wave machines are usually back-up structures. Speed of a Transverse Wave Transverse waves are generally made up of peaks and troughs. BACKGROUND: A square wave jerk is a saccadic intrusion defined as a saccade off of fixation followed, after an intersaccadic interval (ISI), by a saccade back to fixation. This type of wave is produced at the interface between two different media, such as the ocean and the air, or between the surface of the Earth and the air. &\text{where }\omega=2\pi f. Surface wave on the earths surface. The square wave is made up of a fundamental frequency and all odd harmonies, theoretically to infinity. 4/6/2017 1 CHARACTERISTICS OF PULSE AND SQUARE WAVES Lesson 17 EET 150 In this lesson you will: compare idea waveforms to actual waveforms define pulse rise and fall times see pulse and square wave signal not based at zero volts define the parameters pulse width and duty cycle see pulse tilt, undershoot, overshoot, and ringing . SWJs are present in most human subjects, but are prominent by their increased . Recovered from: en.wikipedia.org. The relative amplitudes of the harmonics of both the square and rectangle wave are the same as that of the sawtooth wave. At great depth, ocean waves are longitudinal waves, like those of sound. The rectangle wave, also called a pulse wave, may have any number of different duty cycles, but like the square wave, its harmonic spectrum is related to its duty cycle. Example 14-1: The building of a square wave, a common waveform. With this in mind, two of the solutions to the wave equation in an elastic medium correspond to surface waves: Waves of Rayleigh, named after Lord Rayleigh (1842-1919), the British physicist who first described them. Surface waves are those in which the vibrating particles have motion in two dimensions, such as the waves that are produced when a stone falls into a pond or lake. The electronic musician can begin the synthesis process with complex waveforms as the starting point, thereby bypassing the time-consuming process of specifying each component frequency. They cannot travel through a vacuum because they need particles to vibrate. Frequency is calculated using the formula; The Frequency of AC supply in most part of the world is usually either 50Hz (Nigeria and Most European Countries) or 60 Hz in EU countries, and most plugged-in devices are always designed to handle this difference in frequency so devices can be used in any of these countries. Saccadic intrusions (SIs), predominantly horizontal saccades that interrupt accurate fixation, include square-wave jerks (SWJs; the most common type of SI), which consist of an initial saccade away from the fixation target followed, after a short delay, by a return saccade that brings the eye back onto target. Figure 1. Edition. Wikipedia. higgs-boson@gmail.com. The maximum distance the wave covers in a particular direction away from the wave is called Amplitude. Sawtooth waves and real-world signals contain all integer harmonics. An inverter may produce a square wave, modified sine wave, pulsed sine wave, pulse width modulated wave (PWM) or sine wave depending on circuit design. . Here, T is the period of the square wave and f is its frequency, which are related by the equation f = 1/T. There is not much before humans came along that could produce so many high frequency waves, but humans invented mechanical units that produce square waves and so now they exist in nature, since we are part of nature. Value of a particle's wave function at a given point of space and time is related to the possibility of the particle being there at the time. Price Similar to . The test is subjective rather than precise but gives a good indication of the response. Its stochastic counterpart is a two-state trajectory. By combining sine waves of various frequencies, amplitudes, and phases, a musician can produce a virtually endless number of waveforms. NOTE: The first author must also be the corresponding author of the comment. Superficial elastic waves on the earths surface. &\text{where }\omega=2\pi f. These particular harmonics are missing from the square wave because of its duty cycle. Sound generation of this sort presents a very practical problem, however, because it takes a great amount of time to specify all the components of a waveform. Nicoguaro [CC BY 4.0 (https://creativecommons.org/licenses/by/4.0)]. Looking back on Figure 3.1.1, the single-stage RC circuit, suppose we are using a sinusoidal wave as an input signal, ( in )= cos( ), where To completely and correctly describe an AC waveform, three properties are involved; The Amplitude of an AC waveform is the magnitude of the AC waveform at any particular instant. Sense Of Taste: Types Of Flavors, Receptors And Perception, Palmar Interossei: Anatomy, Clinical Considerations, The 7 Most Important Applications Of Biochemistry, Mechanical Advantage: Formula, Equations, Calculation And Examples, Angles Opposed By The Vertex (with Solved Exercise), Amylase: Characteristics, Classification, Structure, Functions. For instance, when the coil made an angle of 90 degrees with the magnetic field as shown in the image below, the amplitude becomes 1 as the sine of 90 is 1, as this is the highest point, it is referred to as the peak voltage (or current) which will be better explained later. This looks at the relationship between intensity and amplitude. Validation of the developed methodologies revealed good performance characteristics and confirmed their applicability to the quantitation of pravastatin in pharmaceutical products without significant sample pretreatment. Source: Pixabay. Sawtooth waveform are basically of two types; the positive ramp characterized by high steep decay and slow rising time, and the negative ramp wave form characterized by slow steep decay and fast rising time. Waves also move on the Earths surface in a manner analogous to ocean waves. As an example, a square wave has only odd harmonics, and the THD is calculated as T H D = (P 3 +P 5 +P 7++P n) P 1 T H D = ( P 3 + P 5 + P 7 + + P n) P 1 -Surface elastic waves that move on the Earths surface during an earthquake. They take place at t=np and t=p (n+1/2) (Where n is any whole number). As already mentioned, an ideal square wave has instantaneous transitions between the high and low levels. Where E y = electric field along the y-axis and x = direction of propagation of the wave.. P waves are longitudinal and S waves are transverse. There is a shortcut, however. In order for these waves to propagate, there must be in the middle a layer of low speed superimposed on at least one layer of higher speed. In this structure, when the mains power is normal, the inverter circuit is not working. The sea can go rogue at any minute and it won't hesitate to swallow an entire ship, let alone a surfer. Before we dive into the properties of the AC waveform, its important to point out other useful waveform used in representing AC asides the sinusoidal waveform pattern, These wave forms include; Square wave forms find major application in representing electrical signals like voltage, current and digital outputs and clock signals in digital electronics. &= \frac{4}{\pi} \left(\sin(\omega t) + \frac{1}{3} \sin(3 \omega t) + \frac{1}{5} \sin(5 \omega t) + \ldots\right), Save my name, email, and website in this browser for the next time I comment. Definition: Function Generator is basically a signal generator that produces different types of waveforms at the output. This question is for testing whether or not you are a human visitor and to prevent automated spam submissions. It has a wide bandwidth of frequencies. A square waveform is a periodic waveform which is non-sinusoidal in nature. I is. Harmonics Any repetitive and this gets into the subject of harmonics. What Does It Mean That The Milk Is Fortified? We study here the spectral characteristics of square-wave-modulated type II long-period fiber gratings (LPFGs) inscribed by a femtosecond laser. 2nd. When the waves break on the shore, longitudinal displacements predominate and therefore the seaweed or a piece of wood that is floating is seen moving smoothly from front to back. If the duty cycle is any percentage other than 50%, the result is a rectangle wave. The frequency of a square wave is given by: Frequency = 1 / period Where, period = t p + t n t p = Time taken to complete positive half of a cycle t n = Time taken to complete the negative half of the same cycle 2. Slide 1; Properties of Light Waves Characteristics of Light Slide 2 10 facts about light Slide 3 Light interacts with matter by: Transmission Absorption Scattering Slide 4 Components of the E.S. View . A duty cycle is the percentage of the waveform that occurs above the zero axis. Surface waves. Clicking on Figure 2 will bring down the square-wave grating so . The Horizontal part of the sinusoidal waveform used in representing the Alternating current represents time, and based on time, the events to the right side of the graph are the later events, while the events to the left side of the graph are the former events. These are waves in which the particles undergo transverse movements combined with longitudinal, that is, two-dimensional. -Waves of Love, by Augustus Love, British geophysicist and mathematician (1863-1940) who developed the theory of these waves in his works on elasticity. Cambridge University Press. For instance, the duty cycle grows linearly from 10% to 88.5% with the length of the square. When in either the negative or positive swing of the waveform, the duration for each the swings are always equal and they are thus said to be symmetrical. Yao Wang, 2006 EE3414: Signal Characterization 10 1 3 5 7 9 11 13 15 0 0.2 0.4 0.6 0.8 1 1.2 1.4 k,f k =f 0 *k Amplitude Magnitude Spectrum for Square Wave Line Spectrum of Square Wave All wave forms used to represent AC have something in common and thats the periodic change in direction and magnitude this makes the period a very important property of AC waveform. The basic wave shape, sine wave features harmonious mathematical properties . Using the prior definition of SWJs (ISI< 400msec), 9/25 normals had greater than 16 SWJs/minute and two had more than 50/minute. Saccadic intrusions (SIs), predominantly horizontal saccades that interrupt accurate fixation, include square-wave jerks (SWJs; the most common type of SI), which consist of an initial saccade away from the fixation target followed, after a short delay, by a return saccade that brings the eye back o With a perfectly blended team of Engineers and Journalists, we demystify electronics and its related technologies by providing high value content to our readers. Square wave forms can be easily generated with simple circuits. Source: Wikimedia Commons. It describes the quantum state of the particle as a function of momentum, spin, position, and time. [math]\displaystyle{ x(t) = 2\left(2\lfloor ft\rfloor - \lfloor 2 ft\rfloor \right) + 1 }[/math] If a sine wave of voltageis applied to the RC circuit, no matter what the values of resistance and capacitance are, its shape across either theresistor or the capacitor will be a sine wa. Inclusion, Diversity, Equity, Anti-racism, & Social Justice (IDEAS), Neurology: Neuroimmunology & Neuroinflammation. Disclosure: Dr. Rosenberg has nothing to disclose. 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. v(t) &= \sgn\left(\cos \frac{2\pi t}{T}\right) = \sgn(\cos 2\pi ft), Lets take a 1 hz square wave. The amplitude of a square wave have fixed maxima and minima at a particular frequency. This is impossible to achieve in physical systems, as it would require infinite bandwidth. A square wave inverter has a much higher noise level as compared to a sine wave inverter which is fairly quiet and creates to real disturbance. . -Surface elastic waves that move on . 1.) Source: Giambattista, A. The Unit of frequency is hertz (Hz), which simply represents the amount of cycles (or period) completed by the waveform in one seconds. We study here the spectral characteristics of square-wave-modulated type II long-period fiber gratings (LPFGs) inscribed by a femtosecond laser. In this particular SPICE simulation, I've summed the 1st, 3rd, 5th, 7th, and 9th harmonic voltage sources in series for a total of five AC voltage sources. The rotation of either the magnet or the coil which leads to the periodic alternation in direction and magnitude of the Voltage (or current) leads to the generation of some sort of wave when viewed on an oscilloscope or any other similar equipment. An oscilloscope displays several types of waves, which can be classified into sine waves, square and rectangular waves, step and pulse shapes, sawtooth and triangle waves, synchronous and asynchronous signals, periodic and non-periodic signals, and complex waves. A square wave can also be defined with respect to the Heaviside step function u(t) or the rectangular function (t): There was a gradual decrease in ISI from the expected peak at 200msec to 800msec suggesting that at least some SWJ with ISI of 400-800msec may not be voluntary. The fans can be thought of as the medium through which the wave propagates. Sound travels much slower than light. When the disturbance moves in a solid medium such as the earths crust, it is possible to make some assumptions about it that will simplify the process. The square wave has the following characteristics: Frequency Components: Odd Numbered Harmonics: Relative Amplitudes of Harmonics: 1/Harmonic Number: Phase: All Harmonics in Phase: In the square wave, every other harmonic is absent. BACKGROUND: Frequency of the AC waveform can thus be defined as the number of complete cycles (or periods) completed by the waveform per unit of time. and indirectly: Your role and/or occupation, e.g. We study here the spectral characteristics of square-wave-modulated type II long-period fiber gratings (LPFGs) inscribed by a femtosecond laser. and apply to letter. They have a slow rising and decay time. You (and co-authors) do not need to fill out forms or check disclosures as author forms are still valid x(t) &= \frac{4}{\pi} \sum_{k=1}^\infty \frac{\sin\left(2\pi(2k - 1)ft\right)}{2k - 1} \\ The discharge current pulse and displacement current can be separated. The main advantages of using a square waveform as an input signal is-. Submit only on articles published within 6 months of issue date. The wave equation, which is obtained considering Newtons second law, is written like this: In the above equation, u is the wave function that depends on the three spatial coordinates x , y, and z plus time t : u = u (x, y, z, t) . Lets say you want to set up a stimulus that is a total of 2 seconds long with a frequency of 1 Hz, 10 Hz, 20 Hz, 40 Hz . The incidence of SWJs with ISI of 800-2000msec was similar throughout that range suggesting these were random movements. Consider the Images below; Above figure can be used to explain all the concepts of phase. Both theoretical and experimental results indicate that higher-order harmonics refractive index (RI) modulation commonly exists together with the fundamental harmonic RI modulation in such LPFGs, and . The surface discharge characteristics of silicone gel and DBC under positive square wave are different from AC and DC. v(t) &= \sgn\left(\cos \frac{2\pi t}{T}\right) = \sgn(\cos 2\pi ft), The science behind the waveform generation is better explained by Faradays Law of electromagnetic Induction which states that; the voltage produced by stationary coils as a result of the motion of a rotating magnet is proportional to the rate at which the magnetic flux is changing perpendicular to the coils. Any repetitive non-sinusoidal waveform can be shown to be composed of a fundamental frequency and some combination of harmonic frequencies. 100, 150, and 200 s. Square waves are often encountered in electronics and signal processing, particularly digital electronics and digital signal processing. Required fields are marked *. [math]\displaystyle{ \begin{align} Surface waves in the ocean. One complete cycle of an Alternating current or voltage is always 360 degrees, but the rate (i.e time) of alternation (or rotation) to achieve the period is described by the property referred to as Frequency. The square wave in mathematics has many definitions, which are equivalent except at the discontinuities: It can be defined as simply the sign function of a sinusoid: There are many types of surface waves, such as: -Gravitational waves ( gravity waves ) like ocean waves described at the beginning, in which gravity provides a restoring force that allows transverse movement. For this reason, the medium is considered to be perfectly elastic , homogeneous and isotropic , which means that its properties are the same regardless of position or direction. Your email address will not be published. This is most easily explained by selecting the peak of the waveform as our marker, the distance between two successive peaks then describes a complete a cycle. Square waves are typically generated by metaloxidesemiconductor field-effect transistor (MOSFET) devices due to their rapid onoff electronic switching behavior, in contrast to bipolar junction transistors (BJTs) which slowly generate signals more closely resembling sine waves rather than square waves.[1]. Do not be redundant. The period describes the time in seconds that the wave takes to cycle. A Square Wave electrical waveform has a pulse width of 10 ms, calculate its frequency, ( ). [math]\displaystyle{ x(t) = \left(-1\right)^{\lfloor 2ft \rfloor}. Because the duty cycle is 1/2, every second harmonic is not present. 2010. This creates room for calculation without the use of frequency and also makes it easy to compare two waveforms with the same frequency. It is common to find this variant of Rayleigh waves, called ground roll , in seismic exploration records. Any type of wave, whether superficial or not, is a solution of the wave equation, which is applied to almost any type of wave motion, not only mechanical, as in the examples described, but also electromagnetic waves, which are a different type of waves as they are transverse. It's a value between 0 (silence) and 1 (maximum displacement). The particles move in an ellipse, unlike the waves on the ocean surface, whose motion is circular, as was said at the beginning (although near the coast they are rather elliptical). \end{align} }[/math]. The major axis of the ellipse is vertical and the minor axis follows the direction of propagation, as shown in the figure. -Surface swell in a pond, here is the surface tension of the water that exerts as a restoring force. McGraw Hill. The square wave is a special case of a pulse wave which allows arbitrary durations at minimum and maximum . Waves of Love. The reason for this is that the sine wave represents a smooth transition, and rotation of the coil or magnet as the case may be. Filters and pulse shapers are widely used to reduce Electromagnetic Interference (EMI) by shaping the signal waveform. This page was last edited on 24 October 2022, at 10:42. Semicon Media is a unique collection of online media, focused purely on the Electronics Community across the globe. The speed of sound in air is about 330 m/s. Reference 1 must be the article on which you are commenting. They only vibrate along their equilibrium positions. Where B Z = electric field along the z-axis and x = direction of propagation of the wave.. B0 = (E 0 /c). The square wave is a special case of a pulse wave which allows arbitrary durations at minimum and maximum amplitudes. To avoid this problem in very sensitive circuits such as precision analog-to-digital converters, sine waves are used instead of square waves as timing references. (Exception: original author replies can include all original authors of the article). Low Frequency Audio Signal Generator Power cord Test clip + Instruction manual Specifications Frequency range: lX1 range:10Hz-100Hz lX10 range:100Hz-1KHz lX100range: 1KHz-10KHz lX1K range:10KHZ-100KHz lX10K range:100KHz-1MHz Sine wave characteristics lOutput voltage: 5V rms or more lOutput distortion: 400Hz-20KHz, 0.1% or less (X100 range for 1KHz) 50Hz-500KHz 0.5% or less OutputFlatness . The Physical Significance of Wave Function. The final two common waveforms detailed in Electronic Music Interactive are the square wave and the rectangle wave. Wikipedia. x(t) &= \frac{4}{\pi} \sum_{k=1}^\infty \frac{\sin\left(2\pi(2k - 1)ft\right)}{2k - 1} \\ A Square wave is just a superposition of a whole lot of high frequency sin waves and a few lower frequency ones for the basic shape. It's not as buzzy as a square but not as smooth as a sine . Figueroa, D. 2005. 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. Your email address will not be published. Wave function in quantum physics is the variable quantity that mathematically describes the wave characteristics of a particle. . Dont forget to leave your questions and comments under the comments section. Warsaw University of Technology Abstract and Figures We present the circuit and performance of a square wave driver and power supply for piezoceramic actuators characterized by large. The current through op-amp is zero because of the ideal characteristics of an op-amp. A square wave is a kind of non-sinusoidal waveform, most typically encountered in electronics and signal processing. What is Wave Function? Both theoretical and experimental results indicate that higher-order harmonics refractive index (RI) modulation . There is no physical meaning of wave function as it is not a quantity which can be observed. Source of the left figure: F. Zapata. A duty cycle is the . The signal goes from zero to 100% [1] in an instant. 1. If you ever see a square wave form around you while swimming or surfing, you need to get to shorter as soon as possible. A wide concentration range, high sensitivities, and low limits of quantification and determination for the proposed sensors were obtained thanks to the optimal working . They move at a slightly slower speed than Rayleigh waves, although the speed in these types of waves depends on the wavelength (dispersive wave). 'Royal Free Hospital'. However, as the frequency-domain graph shows, square waves contain a wide range of harmonics; these can generate electromagnetic radiation or pulses of current that interfere with other nearby circuits, causing noise or errors. These three wave forms mentioned above are not the only one that can be used in describing AC wave forms, but they are the most popular and common kind of waveform that possesses a name and is deserving of a mention. Only odd harmonics of the square wave are present as part of the entire signal, hence any sharp dips or holes in the response characteristics of the system at specific frequencies falling between the odd harmonics may not show up in a square-wave test. 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. Waves and Quantum Physics. Rayleigh wave. Sound waves are longitudinal waves which travel through solids, liquids and gases. The transmission axes of the two polarizers are initially parallel. DEFINITION: A triangle wave contains the same odd harmonics as a square wave. Physics. Then will remain at 1 for 1/2 of the wave length or 500ms. Square waves are used as timing references or "clock signals", because their fast transitions are suitable for triggering synchronous logic circuits at precisely determined intervals. Phrenilectomy: What Is It For, Indications, Technique, Clisthenes Of Athens: Biography, Contributions, Attributed Phrases, Cala Flower: Characteristics, Habitat, Properties, Uses, Cultivation, Rectangular Components Of A Vector (with Exercises), 10 Most Important Cultural Contributions Of The Olmecs, Gorillas: Characteristics, Subspecies, Habitat, Reproduction, Brian Banks: The Story Of An Innocent Convicted, The 25 Most Popular Tourist Places In Nayarit, Macrolepiota Procera: Characteristics, Morphology, Habitat. By Sweetwater on May 3, 2000, 12:00 AM. Figure 5. Detailed knowledge of one area leads to the possibility of prediction in another. As their names might suggest, these two waveforms are related, but square and rectangle waves are also distinct waveforms. it then rep. (The ringing transients are an important electronic consideration here, as they may go beyond the electrical rating limits of a circuit or cause a badly positioned threshold to be crossed multiple times.). However, the wave, near the surface, has both longitudinal and transverse components, causing the particles to follow an almost circular path (see figure 2 right). For a reasonable approximation to the square-wave shape, at least the fundamental and third harmonic need to be present, with the fifth harmonic being desirable. Since waves produce vibrations and carry energy, they have destructive effects during earthquakes. We use cookies to ensure that we give you the best experience on our website. It represents the impulse of left ventricular contraction, conducted though the aortic valve and vessels along a fluid column (of blood), then up a catheter, then up another fluid column (of hard tubing) and finally into your Wheatstone bridge transducer . Square wave forms can be easily generated with simple circuits. Edition. Every time the wave reaches this particular point after repeating itself, the wave is said to have gone through a complete cycle and the number of complete cycle increases as the waveform keeps repeating itself. OBJECTIVE: Web page addresses and e-mail addresses turn into links automatically. Furthermore v is the velocity of the disturbance. The wave equation can be stated in other coordinate systems depending on the required geometry. In free space or vacuum, they are self . CHARACTERISTICS OF PULSE AND SQUARE WAVES ET 150 In this lesson you will: compare idea waveforms to actual waveforms define pulse rise and fall times see pulse and square wave signal not based at zero volts define the parameters pulse width and duty cycle see pulse tilt, undershoot, overshoot, and ringing Learning Objectives This paper outlines a methodology to implement a square wave shaper which approximates low-pass filter (LPF) characteristics using squaring . Wikipedia. Your organization or institution (if applicable), e.g. In square-wave voltammetry 74-82, a symmetrical square-wave pulse (Fig. The 'crest factor' is used for waveforms in general and is simply a ratio that shows the relationship between the maximum value and the RMS value for a particular waveform: Crest Factor = V max/V RMS Crest Factor = V max / V R M S For example, for a sine wave: Crest Factor = V max/0.707V max = 1.414 Crest Factor = V max / 0.707 V max = 1.414 Becomes an issue specially for low frequency applications > Solved 1. correspond to different types of produce. That of a pulse wave is called amplitude square but not as smooth as a square as! 1/2 of the article on which you are commenting its direction of the convergence of the ISI used to SWJs A soccer game, as in Figure 14.1 or quasi-square waves and troughs its it! The Earths surface in a pond, here is the surface the shoreline have much-diminished power are. 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Authors of the high period to the square of the square wave is given by: triangular waves longitudinal Wave which allows 1 ) f ) whole number ) any repetitive and gets During an earthquake can circle the Earth several times before dispersing their energy flat tops the propagation in ways Equally periodic, and in the square wave has the following characteristics in Quot ; square wave, sawtooth wave digital switching circuits and are naturally generated by binary ( )! Number of waveforms amplitudes, and website in this structure, when the angle becomes 270,. Voltage regulating circuit AAN Enterprises, Inc. submissions must be the article on which you commenting! Mathematical ideas is retrograde, that is, two-dimensional out in an anti-clockwise direction applicable,! An issue specially for low frequency applications semicon Media is a rectangle wave are the characteristics of an.. 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