Given: Z O C = 150 ∠ 25 ∘ Ω Z_{OC}=150\angle25^\circ\ \Omega Z S C = 37.5 ∠ ( − 35 ∘ ) Ω Z_{SC}=37.5\angle(-35^\circ)\ \Omega Use: Z 0 = Z O C Z S C Z_0=\sqrt{Z_{OC}Z_{SC}} Step 1: Multiply Magnitudes: 150 × 37.5 = 5625 150\times37.5=5625 Angles: 25 ∘ + ( − 35 ∘ ) = − 10 ∘ 25^\circ+(-35^\circ)=-10^\circ Therefore, Z O C Z S C = 5625 ∠ ( − 10 ∘ ) Z_{OC}Z_{SC}=5625\angle(-10^\circ) Step 2: Take square root Z 0 = 5625 ∠ − 10 ∘ 2 Z_0=\sqrt{5625}\angle\frac{-10^\circ}{2} Z 0 = 75 ∠ ( − 5 ∘ ) Ω \boxed{Z_0=75\angle(-5^\circ)\ \Omega} Answer: Z 0 = 75 ∠ − 5 ∘ Ω \boxed{Z_0=75\angle-5^\circ\ \Omega} Option B

PAM Waveform Generator Standard: Pulse Amplitude Modulation (PAM) Message Frequency (Hz) 50 Hz Square Wave Carrier Frequency (Hz) 500 Hz Step 1: messagePlot $m(t) = A_m\cos(2\pi f_m t)$ Step 2: Square Wave carrierPlot $c(t) = A_c\frac{1+\operatorname{sgn}\left(\cos(2\pi f_c t)\right)}{2}$ Step 3: superimposed $x(t) = [c(t) + m(t)]$ Step 4: modulatedPlot $s_{PAM}(t) = m(t)\,c(t)$ Perform PAM Demodulation Return to Premium Virtual DSP Lab →

Virtual Labs Instructions for Single Sideband Suppressed Carrier (SSB-SC) Modulation Step 1: Click on 'Generate Message' button to generate input message signal Step 2: Then click on 'Generate Carrier' button to generate carrier signal. The carrier frequency has to be more than the message frequency and You can change frequencies using sliders Step 3: Click on 'Generate Upper SSB-SC Signal' button to generate Generate Upper Sideband SSB-SC Signal Step 4: Click on 'Generate Lower SSB-SC Signal' to generate Generate Lower Sideband SSB-SC Signal Step 5: Click the 'Show Frequency Spectrums' button to view the SSB...

Set Up Firebase Cloud Messaging (FCM) Firebase Cloud Messaging (FCM) allows you to send notifications to users. To set it up: In the Firebase Console, go to Cloud Messaging . Get your Server Key and Sender ID from the Firebase Console. You will need the Server Key to send notifications from the backend and the Sender ID to send them from the frontend. Install the Firebase SDK for messaging: npm install firebase In your React Native app, configure Firebase Cloud Messaging: your-project/ │ ├── app/ │   ├── _layout.tsx              ← initialize notifications │   └── (tabs)/ │       └── index.tsx │ ├── components/ │   ├── firebase.tsx             ← Firebase Auth/config │   └── notifications.ts         ← push notification code │ ├── assets/ │...

SSBSC Waveform Generator Standard: Single Sideband Suppresed Carrier (SSBSC) Message Frequency (Hz) 50 Hz Carrier Frequency (Hz) 500 Hz Message Signal Gain 1 Step 1: messagePlot $m(t) = A_m\cos(2\pi f_m t)$ Step 2: carrierPlot $c(t) = A_c\cos(2\pi f_c t)$ Step 3: superimposed $x(t) = [c(t) + m(t)]$ Step 4: modulatedPlot $s_{USB}(t) = A_c\left[m(t)\cos(2\pi f_c t)-\hat{m}(t)\sin(2\pi f_c t)\right]$ Step 5: modul...

Virtual Labs Instructions for Double Sideband Suppressed Carrier (DSB-SC) Modulation Step 1: Click on 'Generate Message' button to generate input message signal. Step 2: Then click on 'Generate Carrier' button to generate carrier signal. The carrier frequency must be greater than the message frequency. You can adjust frequencies using the sliders. Step 3: Click on 'Generate DSBSC Modulated Signal' button to generate the modulated signal. Step 4: Click the 'Show Frequency Spectrums' button to view the DSB-SC spectra. ...