Problem 3. Suppose we receive a BPSK signal of the form r(t) = A₁ cos(2π fet)+n(t), 0

Q 2 : An audio signal given by 15 sin( 000 pi t)+20 sin(8000 pi t) amplitude modulated DSB-FC) a sinusoidal carrier wave 60 sin(100,000 ) a. Derive an expression for the modulated signal. b. Find the modulation index. c. Find the spectrum of the modulated signal. d. Sketch the spectrum of the modulated signal e. Which type of demodulation method you propose to reconstruct the audio at receiver. Why? Q 2 : A modulating signal is used to modulate a carrier signal(AM modulation). Let P T . P c ,P SB . P USB , P LSB and u are the total power, carrier power, side band power, upper side band power, lower side band power and modulation index respectively, Prove the following: a. P c =P T ( 2 2+m^ 2 ) b. P SB =P T ( m^ 2 2+m^ 2 ) c. P USB =P LSB = 1 2 ( m^ 2 2+m^ 2 )P T

[Q2] Illustrate the signal waveforms of PAM, PWM, and PPM in simple drawings. [Q3] Suppose (t) has the spectrum in the figure below, where f = 550kHz and € = 460kHz. Sketch Xs(f) for f. = 1.6MHz if ideal sampling is considered. X(f) AÏN -f f₁ + E 0 fu

2) A voltage signal consists of the following periodical waveform: V(t) = 10 sin 502.7t + 5 sin 94.2t + 15 sin 942.5t where t is in seconds and Vin volts. This signal is sampled digitally at a sampling frequency of 200 Hz. 128 data points are taken. a) Recommend additional procedures to sample the signal properly in the frequency domain considering the sampling conditions given above. b) Sketch what the frequency spectrum would look like if you were to perform an FFT on these sampled data. Label your axes carefully. c) Calculate: - the total sampling time - the time increment between sampled data points - the frequency resolution of the frequency spectrum - the Nyquist frequency

VII. The input signals to an amplitude modulator are: V₁ = 5 cos [2T (2x10³¹)t] and v₂ = - 12 cos [2π(200x10³)t] a) Write the equation of the AM signal b) Calculate the percent modulation c) Sketch the AM wave and label the maximum and minimum voltages

Computer Science You want to get a system to generate a double lateral band modulated signal without suppression, modulation index= 20% and the central frequency=50MHz, The signal has a bandwidth of 4MHz, and the spectral starts at 500 Hz. A) Find the amplitude of the bias B) Whats the bandwidth of the modulated signal?

Qu: For the signals shown below, Calculate the Nyquist rate and interval. a. x(t)=—Cos4000ut. Cos1000mt. 2 Sinsoomt b. x(t)=

Q2: An audio signal given by 15 sin(4000nt) + 20 sin(8000zt) amplitude modulated(DSB-FC) a sinusoidal carrier wave 60 sin(100,000zt) e. Which type of demodulation method you propose to reconstruct the audio at receiver. Why? AMM

TRUE or FALSE 1.) In time domain represenatation of a signal, a signal with an expression of 220 cos (377t -180) is also equal to -220 cos (377t) 2.) In time domain represenatation of a signal, a signal with an expression of 220 sin (377t +90) is also equal to -220 cos (377t)

sketch the double side Amplitude and phase Spectrum of the following signal.( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).