For an LTI system:
it is causal, if h[n] = 0 for all n<0
acausal, if h[n] arbitrary
anti-causal, if h[n] = 0 for all n>0
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1 fs = 0.3 microns
33 fs = 10 microns
[U, S, V] = svd(A); ds = diag(S); condition_number = max(dS)/min(dS); cond(A). The condition number tells how a small change in input affects the change in measurement.
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zero mean white Gaussian noise of variance 4
2*randn(size(t))
normal distribution with mean 1 and standard deviation 2
2.*randn(t,1)
gradient = greatest increase
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Intuitive understanding of DFT
Example of calculating DFT by hand
Laplace transformation (Part 1)
Laplace transformation (Part 2)
clockwise rotation => Going backwards => exp(-j omega t)
exp(j omega t) ==> counter clockwise Phasor representation
Plane wave
1. E and H lie in a plane perpendicular to the direction of propagation.
2. E and H are perpendicular to each other.
For example,
|R> = 1/sqrt(2) [1; -i]
|L> = 1/sqrt(2) [1; i]
Correlation or inner space product <R,L> = |R>*T . |L> =0
Jones vectors are orthogonal.
Uniform Plane wave
In addition to 1.) and 2.) above, E and H are uniform in the plane perpendicular to the direction of propagation. E and H vary only in the direction of propagation.
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