- Joined
- Apr 12, 2005
- Messages
- 11,339
This might be my third question, ever. My emphasis in college was Linear Algebra, not this.
Playing with Fourier Transforms.
Start with an input function: [math]A\cdot e^{j\phi}\cdot e^{2\pi j \omega}[/math]
"A" and [math]\phi[/math] are constants.
[math]\omega[/math] is the normalized frequency
At what frequency will the output be zero (0)? It can't just be [math]\dfrac{\phi}{2\pi}[/math]? That might flatten things out on the way in, but zero (0) output?
Do I get to search for a frequency that actually makes the output function self-destruct? Emotionally, I find that hard to comprehend. What does it want?
Speculate?
Playing with Fourier Transforms.
Start with an input function: [math]A\cdot e^{j\phi}\cdot e^{2\pi j \omega}[/math]
"A" and [math]\phi[/math] are constants.
[math]\omega[/math] is the normalized frequency
At what frequency will the output be zero (0)? It can't just be [math]\dfrac{\phi}{2\pi}[/math]? That might flatten things out on the way in, but zero (0) output?
Do I get to search for a frequency that actually makes the output function self-destruct? Emotionally, I find that hard to comprehend. What does it want?
Speculate?