EXPERIMENT 1
HILBERT TRANSFORM OF Sa(t) SIGNAL
Introduction:
In this experiment, we simulate Hilbert Transform of a signal. Since we can see the result of
the experiment, it allows us to better understand the hilbert transform.
Background Introduction:
There is a message signal m(t).
𝑚(𝑡)= 2∫ 𝐴(𝑓) cos(2𝜋𝑓𝑡+𝑄(𝑓))𝑑𝑓
∞
0
And the Hilbert Transform of this signal is:
𝑚(𝑡)= 2 ∫ 𝐴(𝑓)sin(2𝜋𝑓𝑡+𝑄(𝑓))𝑑𝑓
∞
0
cos(2𝜋𝑓0𝑡) sin(2𝜋𝑓0𝑡)
𝑚(𝑡) 𝑚 (𝑡)
𝑚(𝑡)= 𝑚(𝑡)∗ℎ(𝑡)
Experimental Procedure and Methods:
Since we will do the experiment on matlab, I first downloaded matlab. Before writing the
hilbert transform code, I wrote the numint function in new script and saved it as numint.m in
the matlab folder.
h(t)
