# Does not have any harmonics

• posted

Hi, Why does a sinusoidal waveform alone does not have any harmonics or distortion ?

For example, (Reference ->

Sawtooth wave of constant period contains odd and even harmonics Square wave of constant period contains odd harmonics Triangle wave, (an integral of square wave) contains odd harmonics

But, How is it possible that sinusoidal wave alone does not have any harmonics or distortion ? I searched the internet,but i did not find any link/pdf that talks in detail about these . Any ideas ?

Thx in advans, Karthik Balaguru

• posted

Just calculate the FFT of a sine wave :-)

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Regards, Joerg

http://www.analogconsultants.com/```
• posted

A continuous sinewave with infinite duration in an ideal distortionless transmission medium would only have the fundamental in its spectrum. However, real-world finite duration sinewaves in distorted transmission system would have some harmonics. These harmonics would not be as pronounced as those of an impulse waveform. However, by running the impulse through an integrator circuit, the harmonics can be reduced. With a series of integrators, of course, you return to to something approaching a sinewave. Since most radio transmission are bandwidth limited with filters, many of the higher harmonics are hopefully missing.

• posted

As I understand it, a harmonic *is* a sine wave. So I suppose if you consider something to contain itself, a sine wave contains a (single) harmonic.

From

: Harmonic: Sine component of a complex signal. Thus, a complex signal is composed of harmonics. Its frequency is obtained as the integer multiple of the fundamental frequency

Also see:

-Mike

• posted

Mike is correct. A frequency spectrum consists of a positive and negative mirror image of the waveform. This brings up all sorts of interesting possibilities - such a SSB or single-sided sideband and DSB or double-sided sideband.

• posted

(It's not nice to Top Post)

YOU are talking of modulation products, which is not what the OP was asking.

Whatever Mike had in mind, it is wrong WRT the OP's question.

It could have some distortion. It depends on the quality of the signal generator. For practical purposes the distortion may not be significant, but may be measurable.

Yes. Complex waveforms are constructed of various harmonics.

A single frequency sinewave is not a "harmonic" (it is NOT a multiple frequency of itself)

See above.

Nope

OK

• posted

Because it doesn't. Read up 'simple harmonic motion'.

Graham

• posted

```--
Q. "Daddy, why is the sky blue?"

A. "Because it is."```
• posted

```--
Because it\'s a single pure tone.```
• posted

You were badly brought up. My parents told me that fine dust particles suspended in the air scattered my short wavelength light - blue light

- than longer-wavelength light - the other colours.

It didn't make much sense to me at the time - I was around four - but at least I wasn't mis-informed.

In fact Eeyore has done a litttle better than your parents did - "simple harmonic motion" as a search string does get you to this

which in turn points you to this

which gets you to

which is probably where the OP needs to go, though they may need a fair bit of education before they can get much out of it.

-- Bill Sloman, Nijmegen

• posted

Odd and even harmonics are themselves pure sine waves that are frequency multiples of a fundamental sine wave. Distortion of a sine wave produces odd and/or even harmonics. So, sine waves are irreducible pure signals that other signals can be analyzed into.

```--
John```
• posted

It's a good question. Myself I'd say a triangle waveform looks like it should be the one to have no harmonics. But it's all down to how smoothly the waveform voltage changes. The triangle and square have significant 'shape' discontinuities during each cycle and these have the effect of creating harmonics. The sine wave although a horrible looking non linear waveform, is the one with the absolutely smoothest rate of change over all its cycle. (DC is even smoother but isn't a frequency :)

• posted

Not QUITE correct.

Distortion as caused typically by non-linearities in a transfer characteristic such as in an amplifier may be modelled and indeed measured as harmonic distortion but the mechanism producing it is typically producing a wide range of harmonic products of which typically only a few may usually be considered of interest.

Graham,

• posted

Uh ? With those rapid discontinuities ?

Exactly. Simple harmonic motion. As in a child's swing or a pendulum for example.

Graham

• posted

john jardine a écrit :

It's more a matter of definition. When you take the view of decomposing a waveform on a sine waves base, it is not abnormal that a sine wave has just one component on that base: itself. The contrary would be abnormal.

If you were to decompose a sine wave on a triagular waveforms base (which is as valid as the sine waves case), it'd had lots of 'harmonics' and a triangular waveform would have just the fundamental.

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Thanks,
Fred.```
• posted

Sorry, but I think it's exactly correct.

That's a different question.

```--
John```
• posted

"Fred Bartoli"

** No it is not - you posturing wanker.

** No it is not.

A sine wave uniquely has the property of no harmonics.

Unlike all other periodic waves, its shape is unaltered after passing though any kind of filter.

....... Phil

• posted

Phil's right too.

Graham

• posted

The non-linearities that are/cause distortion *result* in the production of harmonics. They don't actually *make* harmonics.

It's a subtle distinction.

Graham

• posted

Fourier analysis

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