Bentley asked . 2021-01-14

How to generate complex envelop signal using chirp function

Matlab chirp function will generate cosine-based chirp signal, say from f1 to f2 with 10MHz linear chirp. How to modulate the signal to a carrier at fc, and in complex envelop form?

matlab , signal , signal processing

Expert Answer

Neeta Dsouza answered . 2024-12-21 09:37:05

One way to get the complex chirp is to form analytical signal, e.g.,

f1 = 0; f2 = 10;
t = 0:0.01:1;
xi = chirp(t,f1,1,f2);
x = hilbert(xi);

Alternatively, you can just use a complex chirp signal equation to derive it, like

x1 = exp(1i*pi*(f2-f1)*t.^2);

To modulate to the carrier, you need to multiply the carrier signal, like

fc = 50;
xm = x.*exp(1i*2*pi*fc*t);

However, most simulation is done in complex baseband and even in RF simulation it models the effect of RF distortion on the baseband signal.

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