1. Start with normal AM For AM: P T = P C ( 1 + μ 2 2 ) P_T=P_C\left(1+\frac{\mu^2}{2}\right) The two sidebands together have power: P S B = μ 2 2 P C P_{SB}=\frac{\mu^2}{2}P_C And because the two sidebands are equal: P U S B = P L S B = μ 2 4 P C P_{USB}=P_{LSB}=\frac{\mu^2}{4}P_C So for μ = 1 \mu=1 : P U S B = P L S B = 1 4 P C P_{USB}=P_{LSB}=\frac14P_C 2. What does VSB do? VSB = Vestigial Sideband. It keeps: one complete sideband a small portion of the other sideband For example, suppose we transmit: complete USB → 1 / 4 P C 1/4P_C 50% of LSB → 1 / 8 P C 1/8P_C Then total sideband power is: P S B , V S B = 1 4 P C + 1 8 P C P_{SB,VSB}=\frac14P_C+\frac18P_C = 3 8 P C =\frac38P_C Therefore total VSB power is: P T = P C + 3 8 P C P_T=P_C+\frac38P_C P T = 11 8 P C \boxed{P_T=\frac{11}{8}P_C} for μ = 1 \mu=1 and a 50% vestige . 3. General idea If the vestigial sideband contains a fraction k k of one sideband, then: P S B , V S B = μ 2 4 P C + k μ 2 4 P C P_{SB,VSB} = \frac{\m...

Charge on the Sphere Given r 1 = 30 cm = 0.3 m Volume charge density: ρ v = ρ 0 r / r 1 ρ 0 = 200 pC/m 3 Total Charge The total charge is obtained by integrating the volume charge density throughout the sphere: Q = ∫ V ρ v dV Using the spherical volume element: dV = r 2 sinθ dr dθ dφ Therefore, Q = ρ 0 r 1 ∫ 0 r 1 r 3 dr ∫ 0 π sinθ dθ ∫ 0 2π dφ Evaluating the integrals: Q = ρ 0 r 1 × r 1 4 / 4 × 2 × 2π Q = πρ 0 r 1 3 Substituting the given values: Q = π(200)(0.3) 3 Q ≈ 16.96 pC Q ≈ 17 pC Answer: C (17 pC) ...

ASK Waveform Generator Standard: Amplitude Shift Keying (ASK) Messsage Bits Carrier Frequency (Hz) 500 Hz Sampling Frequency (Hz) 500 Hz Number of Bits 500 Hz Bit Rate in bps: 500 Hz Step 1: messagePlot Step 2: carrierPlot $c(t) = A_m\cos(2\pi f_c t)$ Step 3: Superimposed Signal $x(t) = [c(t) + Binary Message Bits]$ Step 4: Ask Modulated Signal Perfo...

PPM Demodulation Instructions for Pulse Width Modulation (PWM) Step 1: Click on 'Generate Message' button to generate input message signal Step 2: Then click on 'Generate Carrier' button to generate carrier signal. You can change the message and carrier signal frequencies from the input field. The carrier frequency has to be more than the message frequency Step 3: Click on 'Generate PWM Signal' button to generate Pulse Width Modulated (PWM) Signal Message Frequency in Hz: Square Carrier Frequency in Hz: Generate Message ...

PPM Waveform Generator Standard: Pulse Position Modulation (PPM) 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 $s_{PPM}(t) = \operatorname{PWM}(m(t),c(t))$ Perform PPM Demodulation Return to Premium Virtual DSP Lab →

Finding affordable student accommodation in Delhi can be challenging, especially if you want to stay close to your college, coaching centre, metro station and everyday essentials. The best area depends largely on where you study and how much you can spend each month. For students looking for a PG in Delhi , popular options include GTB Nagar and Hudson Lane near Delhi University’s North Campus, Mukherjee Nagar for competitive-exam preparation, Satya Niketan for South Campus, Laxmi Nagar for budget accommodation, and the IIT Delhi–JNU belt of Katwaria Sarai, Jia Sarai, Ber Sarai and Munirka . Best Areas for Student Accommodation in Delhi Area Best for Approx. monthly PG budget* Overall take GTB Nagar / Hudson Lane DU North Campus ₹7,000–₹16,000 ⭐ Best overall for North Campus Kamla Nagar / Vijay Nagar DU North Campus ₹8,000–₹15,000 ⭐ Excellent student environment Mukherjee Nagar UPSC, SSC and North Campus ₹7,000–₹13,000 ⭐ Good for serious study Satya Niketan DU South Campus ₹8,000–₹...