A Sinusoidal Wave Implementation
And Analyzer
In this section, we will quickly start analyzing signals in time and frequency domains. Of course, knowing and applying math in the simulation environment are the key point of understanding. Therefore, this material represents only one side of the equation.
The theoretical spectrum, 𝑋(𝑓) of 𝑥(𝑡) = 𝐴𝑐𝑜𝑠(2𝜋𝑓𝑐
𝑡) is
𝑋(𝑓) =
𝐴^2 𝛿(𝑓 − 𝑓𝑐
) +
𝐴^2 𝛿(𝑓 + 𝑓𝑐
)
and its power spectral density (PSD), 𝑆𝑥
(𝑓),
is
𝑆𝑥
(𝑓) =
𝐴^2/4
𝛿(𝑓 − 𝑓𝑐
) +
𝐴^2/4
𝛿(𝑓 + 𝑓𝑐
)
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