Consider the bandpass filter given below: H(f) fc w fc fc + w fc-w fc fc+w Assume that the input signal x(t) = 4(8cos(6Ï€t)+2cos(12Ï€t))cos(40Ï€t) is passed through this filter. Compute the output power if fc = 20 Hz and W=5 Hz.
Added by Daniel P.
Close
Step 1
First, let's find the frequency response of the bandpass filter H(f). The frequency response is given by the equation H(f) = 1 for fc-w <= f <= fc+w, and H(f) = 0 otherwise. Show more…
Show all steps
Your feedback will help us improve your experience
Frank Deng and 86 other Physics 102 Electricity and Magnetism educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The input to a certain filter is given by $v_{\mathrm{in}}(t)=2 \cos \left(10^{4} \pi t-25^{\circ}\right)$ and the steady-state output is given by $v_{\mathrm{out}}(t)=2 \cos \left(10^{4} \pi t+20^{\mathrm{e}}\right)$ Determine the (complex) value of the transfer function of the filter for $f=5000 \mathrm{Hz}$.
Adi S.
The signal m(t) = 5cos(20πt) is fed into an FM modulator, and the output u(t) = 5cos[1000πt + 16π ∫ m(τ)dτ t −∞ ] is obtained. If the output of the modulator is passed through an ideal BPF with a center frequency of fc = 500 Hz and a bandwidth of 70 Hz, determine and plot the power of the frequency components at the output. (40p).
Supreeta N.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD