What type of waveform is described by this fourier series
$begingroup$
A signal with a time of 0.2 miliseconds is described by the below equation:
$$
f(x) = frac{1}{2} + sin(omega_0x) - frac{1}{2}sin(2omega_0x)
+frac{1}{3}sin(3omega_0x) - frac{1}{4}sin(4omega_0x) + frac{1}{5}sin(5omega_0x)
$$
The question is to determine the type of waveform described by the fourier series graphically. I know that it is a sinusoidal wave form, but can't figure out how to graph this particular equation and show in clear steps how I came to that conclusion.
In essence, I am looking for help in actually figuring out how to graph this equation to show what type of waveform this fourier series describes.
fourier-analysis fourier-series trigonometric-series
edited Jan 20 at 18:41
Daniele Tampieri
2,2922822
asked Jan 20 at 18:11
Luke ByrneLuke Byrne
1
$endgroup$
add a comment |
$begingroup$
A signal with a time of 0.2 miliseconds is described by the below equation:
$$
f(x) = frac{1}{2} + sin(omega_0x) - frac{1}{2}sin(2omega_0x)
+frac{1}{3}sin(3omega_0x) - frac{1}{4}sin(4omega_0x) + frac{1}{5}sin(5omega_0x)
$$
The question is to determine the type of waveform described by the fourier series graphically. I know that it is a sinusoidal wave form, but can't figure out how to graph this particular equation and show in clear steps how I came to that conclusion.
In essence, I am looking for help in actually figuring out how to graph this equation to show what type of waveform this fourier series describes.
fourier-analysis fourier-series trigonometric-series
edited Jan 20 at 18:41
Daniele Tampieri
2,2922822
asked Jan 20 at 18:11
Luke ByrneLuke Byrne
1
$endgroup$
$begingroup$
In brief, you are asking how to graph a real valued function given a closed form expression for the function. Have you graphed other functions before? Have you tried the Desmos graphing calculator?
$endgroup$
– Somos
Jan 20 at 19:05
$begingroup$
Thanks @Somos I have, but couldnt figure out how to graph it on desmos.
$endgroup$
– Luke Byrne
Jan 20 at 19:14
$begingroup$
It is very simple. Just type1/2t+sin(x)-1/2t sin(2x)+1/3t sin(3x)-1/4t sin(4x)+1/5t sin(5x)wheretis the tab character.
$endgroup$
– Somos
Jan 20 at 19:28
$begingroup$
@somos that's what I did and I got a really strange graph.. plus is w not equal to 2pi*f, therefore you would need that in your equation. Anyway, my main struggle is figuring out how to determine the type of waveform, which the graph hasn't helped with this far.
$endgroup$
– Luke Byrne
Jan 20 at 20:13
$begingroup$
What exactly do you mean by "type of waveform"? It is clearly periodic. What else are you looking for?
$endgroup$
– Somos
Jan 20 at 20:20
add a comment |
$begingroup$
A signal with a time of 0.2 miliseconds is described by the below equation:
$$
f(x) = frac{1}{2} + sin(omega_0x) - frac{1}{2}sin(2omega_0x)
+frac{1}{3}sin(3omega_0x) - frac{1}{4}sin(4omega_0x) + frac{1}{5}sin(5omega_0x)
$$
The question is to determine the type of waveform described by the fourier series graphically. I know that it is a sinusoidal wave form, but can't figure out how to graph this particular equation and show in clear steps how I came to that conclusion.
In essence, I am looking for help in actually figuring out how to graph this equation to show what type of waveform this fourier series describes.
fourier-analysis fourier-series trigonometric-series
edited Jan 20 at 18:41
Daniele Tampieri
2,2922822
asked Jan 20 at 18:11
Luke ByrneLuke Byrne
1
$endgroup$
A signal with a time of 0.2 miliseconds is described by the below equation:
$$
f(x) = frac{1}{2} + sin(omega_0x) - frac{1}{2}sin(2omega_0x)
+frac{1}{3}sin(3omega_0x) - frac{1}{4}sin(4omega_0x) + frac{1}{5}sin(5omega_0x)
$$
The question is to determine the type of waveform described by the fourier series graphically. I know that it is a sinusoidal wave form, but can't figure out how to graph this particular equation and show in clear steps how I came to that conclusion.
In essence, I am looking for help in actually figuring out how to graph this equation to show what type of waveform this fourier series describes.
fourier-analysis fourier-series trigonometric-series
fourier-analysis fourier-series trigonometric-series
edited Jan 20 at 18:41
Daniele Tampieri
2,2922822
asked Jan 20 at 18:11
Luke ByrneLuke Byrne
1
edited Jan 20 at 18:41
Daniele Tampieri
2,2922822
asked Jan 20 at 18:11
Luke ByrneLuke Byrne
1
edited Jan 20 at 18:41
Daniele Tampieri
2,2922822
edited Jan 20 at 18:41
Daniele Tampieri
2,2922822
edited Jan 20 at 18:41
Daniele Tampieri
2,2922822
2,2922822
asked Jan 20 at 18:11
Luke ByrneLuke Byrne
1
asked Jan 20 at 18:11
Luke ByrneLuke Byrne
1
asked Jan 20 at 18:11
Luke ByrneLuke Byrne
1
1
$begingroup$
In brief, you are asking how to graph a real valued function given a closed form expression for the function. Have you graphed other functions before? Have you tried the Desmos graphing calculator?
$endgroup$
– Somos
Jan 20 at 19:05
$begingroup$
Thanks @Somos I have, but couldnt figure out how to graph it on desmos.
$endgroup$
– Luke Byrne
Jan 20 at 19:14
$begingroup$
It is very simple. Just type1/2t+sin(x)-1/2t sin(2x)+1/3t sin(3x)-1/4t sin(4x)+1/5t sin(5x)wheretis the tab character.
$endgroup$
– Somos
Jan 20 at 19:28
$begingroup$
@somos that's what I did and I got a really strange graph.. plus is w not equal to 2pi*f, therefore you would need that in your equation. Anyway, my main struggle is figuring out how to determine the type of waveform, which the graph hasn't helped with this far.
$endgroup$
– Luke Byrne
Jan 20 at 20:13
$begingroup$
What exactly do you mean by "type of waveform"? It is clearly periodic. What else are you looking for?
$endgroup$
– Somos
Jan 20 at 20:20
add a comment |
$begingroup$
In brief, you are asking how to graph a real valued function given a closed form expression for the function. Have you graphed other functions before? Have you tried the Desmos graphing calculator?
$endgroup$
– Somos
Jan 20 at 19:05
$begingroup$
Thanks @Somos I have, but couldnt figure out how to graph it on desmos.
$endgroup$
– Luke Byrne
Jan 20 at 19:14
$begingroup$
It is very simple. Just type1/2t+sin(x)-1/2t sin(2x)+1/3t sin(3x)-1/4t sin(4x)+1/5t sin(5x)wheretis the tab character.
$endgroup$
– Somos
Jan 20 at 19:28
$begingroup$
@somos that's what I did and I got a really strange graph.. plus is w not equal to 2pi*f, therefore you would need that in your equation. Anyway, my main struggle is figuring out how to determine the type of waveform, which the graph hasn't helped with this far.
$endgroup$
– Luke Byrne
Jan 20 at 20:13
$begingroup$
What exactly do you mean by "type of waveform"? It is clearly periodic. What else are you looking for?
$endgroup$
– Somos
Jan 20 at 20:20
$begingroup$
In brief, you are asking how to graph a real valued function given a closed form expression for the function. Have you graphed other functions before? Have you tried the Desmos graphing calculator?
$endgroup$
– Somos
Jan 20 at 19:05
$begingroup$
In brief, you are asking how to graph a real valued function given a closed form expression for the function. Have you graphed other functions before? Have you tried the Desmos graphing calculator?
$endgroup$
– Somos
Jan 20 at 19:05
$begingroup$
Thanks @Somos I have, but couldnt figure out how to graph it on desmos.
$endgroup$
– Luke Byrne
Jan 20 at 19:14
$begingroup$
Thanks @Somos I have, but couldnt figure out how to graph it on desmos.
$endgroup$
– Luke Byrne
Jan 20 at 19:14
$begingroup$
It is very simple. Just type
1/2t+sin(x)-1/2t sin(2x)+1/3t sin(3x)-1/4t sin(4x)+1/5t sin(5x) where t is the tab character.$endgroup$
– Somos
Jan 20 at 19:28
$begingroup$
It is very simple. Just type
1/2t+sin(x)-1/2t sin(2x)+1/3t sin(3x)-1/4t sin(4x)+1/5t sin(5x) where t is the tab character.$endgroup$
– Somos
Jan 20 at 19:28
$begingroup$
@somos that's what I did and I got a really strange graph.. plus is w not equal to 2pi*f, therefore you would need that in your equation. Anyway, my main struggle is figuring out how to determine the type of waveform, which the graph hasn't helped with this far.
$endgroup$
– Luke Byrne
Jan 20 at 20:13
$begingroup$
@somos that's what I did and I got a really strange graph.. plus is w not equal to 2pi*f, therefore you would need that in your equation. Anyway, my main struggle is figuring out how to determine the type of waveform, which the graph hasn't helped with this far.
$endgroup$
– Luke Byrne
Jan 20 at 20:13
$begingroup$
What exactly do you mean by "type of waveform"? It is clearly periodic. What else are you looking for?
$endgroup$
– Somos
Jan 20 at 20:20
$begingroup$
What exactly do you mean by "type of waveform"? It is clearly periodic. What else are you looking for?
$endgroup$
– Somos
Jan 20 at 20:20
add a comment |
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$begingroup$
In brief, you are asking how to graph a real valued function given a closed form expression for the function. Have you graphed other functions before? Have you tried the Desmos graphing calculator?
$endgroup$
– Somos
Jan 20 at 19:05
$begingroup$
Thanks @Somos I have, but couldnt figure out how to graph it on desmos.
$endgroup$
– Luke Byrne
Jan 20 at 19:14
$begingroup$
It is very simple. Just type
1/2t+sin(x)-1/2t sin(2x)+1/3t sin(3x)-1/4t sin(4x)+1/5t sin(5x)wheretis the tab character.$endgroup$
– Somos
Jan 20 at 19:28
$begingroup$
@somos that's what I did and I got a really strange graph.. plus is w not equal to 2pi*f, therefore you would need that in your equation. Anyway, my main struggle is figuring out how to determine the type of waveform, which the graph hasn't helped with this far.
$endgroup$
– Luke Byrne
Jan 20 at 20:13
$begingroup$
What exactly do you mean by "type of waveform"? It is clearly periodic. What else are you looking for?
$endgroup$
– Somos
Jan 20 at 20:20