spark360z
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I'm trying to understand the concept of Fourier transform and get stuck on something very simple.
My question is, what does F(jω) represent in frequency domain?
If I have a voltage source v(t), v(t) represents voltage as a function of time, therefore I know the voltage at any given time.
But in frequency domain, thing seems to be different.
Let say the transformed signal is V(jω). Let say at ω=2pi(1000), substitute ω in V(jω), suppose I get V(jω)=V(j2pi(1000))=10
What does "10" represent?
Is it an amplitude of a sinusoidal at 1000 Hz? Therefore the signal has sinusoidal 1k Hz frequency amplitude=10 as a component?
I'm not sure about this because the Fourier transform of cosine is Impulse which has amplitude=infinity.
Please help!
My question is, what does F(jω) represent in frequency domain?
If I have a voltage source v(t), v(t) represents voltage as a function of time, therefore I know the voltage at any given time.
But in frequency domain, thing seems to be different.
Let say the transformed signal is V(jω). Let say at ω=2pi(1000), substitute ω in V(jω), suppose I get V(jω)=V(j2pi(1000))=10
What does "10" represent?
Is it an amplitude of a sinusoidal at 1000 Hz? Therefore the signal has sinusoidal 1k Hz frequency amplitude=10 as a component?
I'm not sure about this because the Fourier transform of cosine is Impulse which has amplitude=infinity.
Please help!