The message signal m(t)=10sinc(400t) frequency modulates the carrier c(t)=100cos2πfc​t. The modulation index βf​ is 6 , where we have βf​=Wkf​max[∣m(t)∣]​. (a) (7 marks) Write an expression for the modulated signal u(t). (b) (7 marks) What is the maximum frequency deviation of the modulated signal? (c) (7 marks) What is the power content of the modulated signal? (d) (9 marks) Find the bandwidth of the modulated signal.

d) The message m(t) = 2sin2000nt – 3cos4000nt is used in an AM system with a modulation index of 70 % and carrier frequency of 580 kHz. i. What is the power efficiency? ii. If the net transmitted power is 10 watts, find the magnitude spectrum of the transmitted signal. (Note: Use Fourier transform is required)

in a dsb am system, the carrier is c(t)=acos(2pfct) and  the message signal is given by m(t)=sinc (t)+sinc2(t). find the bandwidth of the modulated signal.

A carrier wave of frequency 100 MHz is frequency-modulated by a sinusoidal wave ofamplitude 20 V and frequency 100 kHz. The frequency sensitivity of the modulator is 25kHz/V.(a) Determine the approximate bandwidth of the FM wave, using Carson’s rule.(b) Determine the bandwidth obtained by transmitting only those side-frequencieswith amplitudes that exceed one percent of the unmodulated carrier amplitude.

vvucn Liie modulating frequency in an FM system is 600Hz andmodulating voltage is 2.1V, modulation index is 50. Calculate themaximum deviation . What is the modulating index at modulatingvoltage of 4V and modulating frequency 300Hz.Compare narrowband frequency modulation and wideband frequency modulation.

Ex : For the AM waveform shown below, determine a) Peak amplitude of the upper and lower side frequencies b) Peak amplitude of the unmodulated carrier c) Peak change in the amplitude of the envelope d) Coefficient of modulation Percent modulation