Determine the following by applying the Fourier convolution
property to known Fourier transforms:
a. FT {? (t )} , where
? (t ) = rect (t ) ? rect (t
) .
b. FT{?
(t)cos(2pifct)}
c. FT{ rect( t )cos^2( 2pi*fc*t))
d.
FT{rect(t)cos(2pif1t)cos(2pi
f2t)}, where f2 >> f1
>1.
Both the Fourier Series and the Discrete Fourier Transform are
calculated using summation. Explain the key differences in what the
inputs each of the Fourier Series and the DFT are AND the
requirements the inputs.
Signals and systems
Find the complex exponential Fourier series for the following
signals. In each case plot the magnitude and phase line spectra for
k ≥ 0.
(i) x1(t) = cos(5t + 45o )
(ii) x2(t) = sin2 (t)
(iii) x3(t) = cos(3t) + cos(5t)]
what will be transient telegrapher's equation solution using
laplace transforms if R,G parameter is not zero.
Where R= RESISTOR OF WIRE AND G= conductance between line.
What is the benefit/advantage of having two divergent
paths for electron flow through complex III? Why is the Q cycle
better than a single QH2 donating its two electrons, one
at a time, along the same path to cytochrome c?
What increase in speed can be expected in using a fast Fourier
transform algorithm rather than direct arithmetic to compute the
Fourier transform of an image of size 1024 × 1024?
What is complex media and when would you use complex media over
using chemically defined media?
A common bacterial organism used for various procedures in the
microbiology lab is micrococcus Luteus. In the space below please
correct the organism's name in proper binomial nomenclature.
In your own words, explain the difference between resident flora
and transient flora.