Obtain hilbert transformation of cosine signal


Question: Obtain Hilbert transformation of cosine signal x(t)=cosθ by using MATLAB

Where θ=2πft

t is the time

f the frequency 0>f>0

Hilbert transformation can be obtained by equation bellow

H(x(t)) = 1/(π.t)*x(t)=x(f).j.sig(f)

Where * is time convolution

j, imaginary

x(f), Fourier transformation

sig(f), frequency sign

In other words, need to transform cosθ (whatever the frequency is) to sinθ by using MATLAB

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