Based on \(\displaystyle s_{HF}(t)=A\cos(\omega_{c}t)+ \frac{\gamma}{2}\cos\left((\omega_{c}-\omega_{i})t\right)+ \frac{\gamma}{2}\cos\left((\omega_{c}+\omega_{i})t\right)\): [Power of carrier and Power of sidebands]
Answer
- Power of carrier, based on Parseval's theorem: \(\displaystyle P_{\text {carrier }}=2\left(\frac{A}{2}\right)^2=\frac{A^2}{2}\).
- Power in sidebands, based on Parseval's theorem: \(\displaystyle P_{\text {sidebands }}=4\left(\frac{\gamma}{4}\right)^2=\frac{\gamma^2}{4}\).
Question
Based on \(\displaystyle s_{HF}(t)=A\cos(\omega_{c}t)+ \frac{\gamma}{2}\cos\left((\omega_{c}-\omega_{i})t\right)+ \frac{\gamma}{2}\cos\left((\omega_{c}+\omega_{i})t\right)\): [Power of carrier and Power of sidebands]
Answer
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Question
Based on \(\displaystyle s_{HF}(t)=A\cos(\omega_{c}t)+ \frac{\gamma}{2}\cos\left((\omega_{c}-\omega_{i})t\right)+ \frac{\gamma}{2}\cos\left((\omega_{c}+\omega_{i})t\right)\): [Power of carrier and Power of sidebands]
Answer
- Power of carrier, based on Parseval's theorem: \(\displaystyle P_{\text {carrier }}=2\left(\frac{A}{2}\right)^2=\frac{A^2}{2}\).
- Power in sidebands, based on Parseval's theorem: \(\displaystyle P_{\text {sidebands }}=4\left(\frac{\gamma}{4}\right)^2=\frac{\gamma^2}{4}\).
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Power of Amplitude Modulation Based on \(\displaystyle s_{HF}(t)=A\cos(\omega_{c}t)+ \frac{\gamma}{2}\cos\left((\omega_{c}-\omega_{i})t\right)+ \frac{\gamma}{2}\cos\left((\omega_{c}+\omega_{i})t\right)\): - Power of carrier, based on Parseval's theorem: \(\displaystyle P_{\text {carrier }}=2\left(\frac{A}{2}\right)^2=\frac{A^2}{2}\). - Power in sidebands, based on Parseval's theorem: \(\displaystyle P_{\text {sidebands }}=4\left(\frac{\gamma}{4}\right)^2=\frac{\gamma^2}{4}\).
Summary
status
not learned
measured difficulty
37% [default]
last interval [days]
repetition number in this series
0
memorised on
scheduled repetition
scheduled repetition interval
last repetition or drill
Details
No repetitions
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