New answers tagged time-domain
1
You forget that what you did was describing the passband signals (i.e. some waveform on a carrier frequency == on a wavelength) in baseband.
So, of course, after calculating the baseband spectrum, you need to shift it back where it came from - to the carrier frequency. It's as easy as that.
If this isn't clear to you, you might want to revisit what (complex ...
0
I'm not entirely sure what you are asking but if your Z-domain representation is
$$H(z) = \frac{b_0+b_1 z^{-1}+b_2 z^{-2}}{a_0+a_1 z^{-1}+a_2 z^{-2}}$$
Then your difference equation is
$$a_0 \cdot y[n] + a_1 \cdot y[n-1] + a_2 \cdot y[n-2] = b_0 \cdot x[n] + b_1 \cdot x[n-1] + b_2 \cdot x[n-2]$$
And solving for $y[n]$ we get
$$y[n] = \frac{1}{a_0}(b_0 \cdot ...
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