Signal
x(t) = | cos(2πft)|, f != 0
is the input of an ideal band-pass filter with bandwidth B = 3f/2.
How can i Find the Output of the y(t)
of the signal.
Signal Processing Stack Exchange is a question and answer site for practitioners of the art and science of signal, image and video processing. It only takes a minute to sign up.
Sign up to join this communitySignal
x(t) = | cos(2πft)|, f != 0
is the input of an ideal band-pass filter with bandwidth B = 3f/2.
How can i Find the Output of the y(t)
of the signal.
Your signal is periodic with period $\frac{1}{2f}$ hence has a Fourier series expansion with spacing between the frequency components of $2f$. The output of your ideal filter then is the sum of the Fourier components that fall within the bandwidth.
Because your bandwidth is less than the spacing between the frequency components your output will contain at most one frequency component.