# Magnitude spectrum of LTI system output signal

First year student so please excuse my lack of knowledge.

As i understand i need to use convolution which is: $$y^{out}(t) = u^{in}(t) * h(t)$$ Or maybe my thoughts are wrong so please correct me.

But still i do not understand how to draw magnitude spectrum of output signal.

I did find images of convolution but still do not understand.

Edit:

So, using Dan Boschen hint i tried to solve this task. I assumed than i need to multiply two graphs as they were in frequency domain.

• What class are you taking? Did you already cover the Fourier Transform and spectra ? Jun 24 at 20:32
• I am taking signal theory class, yes we did cover Fourier Transform as well as Phase and Magnitude spectrum Jun 24 at 20:40
• Just something additonal: Get comfortable with writing the units for the frequency axis because it becomes really important once you study Sampling (although this book hasn't written the units since it's not important for this exercise). In this case your FT is the CTFT (Continous-Time Fourier Transform) of a time-domain signal so the units are rad/s or radian per second. Jun 24 at 21:43