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It is a series of impulses (Dirac Delta functions), each positioned at the point where the square wave changes amplitude. For a negative change in amplitude, the impulse is -inf; likewise, for a positive change in amplitude, the impulse is +inf.
The fourier expansion of the square wave is:
4/pi sum_{k=1}^\infty [ sin((2k-1)*w*t) / (2k-1) ] Likewise, its derivative is:
4/pi*w sum_{k=1}^\infty [ cos((2k-1)*w*t) ]
If you plot, the first 50 terms, you will get a pretty good idea of what it looks like. impulse
What else can I help you with?
What does a convection wave look like?
Convection waves are invisible: You can't see them.
What wave property affects the speed of a wave?
Both the wavelength and the frequency of a wave affect the speed of a wave.
What is the Matlab code to generate a square wave?
The below code in Matlab can generate a square wave. fs = 1000; t = 0:1/fs:1.5; x1 = sawtooth(2*pi*50*t); x2 = square(2*pi*50*t); subplot(2,2,1),plot(t,x1), axis([0 0.2 -1.2 1.2]) xlabel('Time (sec)');ylabel('Amplitude'); title('Sawtooth Periodic Wave') subplot(2,2,2),plot(t,x2), axis([0 0.2 -1.2 1.2]) xlabel('Time (sec)');ylabel('Amplitude'); title('Square Periodic Wave'); subplot(2,2,3),stem(t,x2), axis([0 0.1 -1.2 1.2]) xlabel('Time (sec)');ylabel('Amplitude'); The resultant wave has an amplitude of +1 to -1.
How is trig used in life?
The obvious answer is the relationships between the sides and angles of triangles. Waves in the sea are an example of a sine wave. Tidal Experts and Meterologists alike use sine waves to help predict tides. Music will also emit waves that may often look like a sine wave and pure notes will look like sine or cosine waves. The speed of a swinging pendulum can be plotted as a sine wave as well as the sound of a tuning fork.
Can a discontinuous function can be developed in the Fourier series?
Yes. For example: A square wave has a Fourier series.
What does a low pitch sound wave look like?
they look like your mommy
In telecommunication what is a pulse train with a 50 percent duty-cycle called?
Square
What does a normal look like on a wave diagram?
The normal points in the direction that the wave is traveling.
What is energy wave spectrum?
does it look like i know
What machine can show us what waves look like?
If the wave can be turned into an electrical signal then an oscilloscope can be used to look at the wave pattern.
What is use of function generators?
funcation genrator is used for genrating various forms of the waveforms like as sin wave, square wave , triangular wave
Why does a mirage look like water?
in a heat wave your brain recoqnizes that its a "wave" of heat and then (because its dehydrated usually) imagines the image in a wave like form
Which wave is highest RMS value peakvalue being the same?
The wave with the maximum RMS value, in comparision with the peak value, is the square wave.
Difference between square wave and digital signal?
A: square wave can be positive and or negative. A digital signal is a square wave but it can be of invariable duty cycles
How do you convert square wave to sine wave?
Filter the square wave with a low-pass filter sharp enough to remove all frequencies above the frequency of the square wave.
What is the significance of the derivative of the wave function in quantum mechanics?
The derivative of the wave function in quantum mechanics represents the probability of finding a particle at a specific position. It helps determine the momentum and energy of the particle, providing crucial information about its behavior and interactions in the quantum world.
A series of evenly timed pulses create a wave that can be described as a wave.?
A series of evenly timed pulses in a wave is known as a square wave. It consists of rapid changes between high and low values, creating a waveform that looks like a series of square pulses. Square waves are commonly used in electronics and signal processing.
