Problem 1: Consider a DSB-SC system carrier signal: ((t)= A cos2rfet message signal: m(t) = sinc(t) + sinc² (t) Find: @ Frequency domain representation of the modulated signal. ⑥ Bandwidth of the modulated signal

An FM signal has a maximum frequency deviation of 1500h and a modulating frequency of 500h, its total power is 6500w, applied to a resistive load of 1ohm, the carrier frequency is 400Mhz. Determine the sensitivity of the modulator, and the magnitude spectrum

For the amplitude modulated signal spectrum shown below, find the following: a) Write an expression for the waveform in terms of ωm and ωc. b) Name the modulation technique.

7-18 Abasehand signal having components from near de to 8 kHz is used to frequency modulate a high-frequency carrier, and the maximum frequency deviation is set al +12 kHz. Delermine the approximatle transmission bandwidth.

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

An FM signal has a maximum frequency deviation of 1500h and a modulating frequency of 500h, its total power is 6500w, applied to a resistive load of 1ohm, the carrier frequency is 400Mhz. Determine the voltage of the carrier frequency and the first three sidebands

Please answer question 1

given a descrete signal x[n]={...0,10,8,6,4,2,0,...} find even component and odd component

Starting from the general expression of the frequency modulated wave, find out the expression of narrow band FM (NBFM).

answer all questions please