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1. FM modulation. Consider a message signal m(t)-(2nt and a carrier wave c(t)-cos(400rt) (a) (20 points)...
1. DSC-SC Modulation. Consider a message signal m(t) = 3 sinc(10t) this is applied to a...
1. DSC-SC Modulation. Consider a message signal m(t) = 3 sinc(10t) this is applied to a product modulator with a carrier wave c(t) = 2 cos(100nt). (a) (5 points) Find and plot the Fourier transform S(f) of the DSB-SC modulated signal s(t). (b) (5 points) What is the bandwidth of s(t)? (c) (5 points) The signal s(t) is next applied to filter h(t), the output of the filter is named y(t). Now assume that I $2/300, If|< 30, H(f) =...
Question 4: (20 points) An FM signal is modulated with message m(t)Am cos(2Tmt). The measured amp...
Question 4: (20 points) An FM signal is modulated with message m(t)Am cos(2Tmt). The measured amplitude spectrum, SPM(f), is shown below: Amplitude spectrum of the frequency modulated signal 2 -2 5000 4000 3000 2000 -1000 1000 2000 3000 4000 5000 frequency f [Hz] a) What is the carrier frequency fe? b) What is the message frequency fm c) What is the FM modulation index Bf? Is it a narrowband or a wideband signal? d) Using Carson's rule, estimate the transmission...
Consider frequency modulation with a sinusoidal message signal (tone modulation) m(t) = a cos(2πfmt). The modulated...
Consider frequency modulation with a sinusoidal message signal (tone modulation) m(t) = a cos(2πfmt). The modulated signal is: vFM(t) = Ac cos[2πfct + βf sin(2πfmt)]. with βf = kfa/fm being the modulation index. What is the bandwidth of the modulated signal.
Consider frequency modulation with a sinusoidal message signal (tone modulation) m(t) = a cos(2πfmt). The modulated...
Consider frequency modulation with a sinusoidal message signal (tone modulation) m(t) = a cos(2πfmt). The modulated signal is: vFM(t) = Ac cos[2πfct + βf sin(2πfmt)]. with βf = kfa/fm being the modulation index. What is the bandwidth of the modulated signal.
In a DSB-SC amplitude modulation system, the message signal is m(t)=e^(-3t)*u(t-2) and the carrier signal is...
In a DSB-SC amplitude modulation system, the message signal is m(t)=e^(-3t)*u(t-2) and the carrier signal is ???( 2000??). Find the Fourier transform of the modulated signal.
5. Consider the following message signal: m(t) -2 .3 10 Assume that the carrier frequency is f ar...
5. Consider the following message signal: m(t) -2 .3 10 Assume that the carrier frequency is f are kf = 105, kp-25 respectively. 108 Hz, and frequency and phase deviation constants Find the maximum and minimum frequency deviation for FM, and sketch the FM wave for a duration of 103 seconds shown in the above figure (5 points). a. b. Find the maximum and minimum frequency deviation for PM, sketch the PM wave for a duration of 103 seconds shown...
5. Consider the following message signal: -2 Assume that the carrier frequency is f are kr 105, k...
5. Consider the following message signal: -2 Assume that the carrier frequency is f are kr 105, kp 25 respectively. 108 Hz, and frequency and phase deviation constants Find the maximum and minimum frequency deviation for FM, and sketch the FM wave for a duration of 103 seconds shown in the above figure (5 points). a. b. Find the maximum and minimum frequency deviation for PM, sketch the PM wave for a duration of 103 seconds shown in the above...
Please do Part 4 and Show all work! 1. 145 points) <FM/FSK Modulation/Demodulations A periodic wave m(t) in Figure 1 below The resulting FM signal is demodulated as shown in the following figure b...
Please do Part 4 and Show all work!
1. 145 points) <FM/FSK Modulation/Demodulations A periodic wave m(t) in Figure 1 below The resulting FM signal is demodulated as shown in the following figure by using frequency discriminator. Assume no attenuation of the signal due to propagation loss (in other words assume amplifiers properly restored the amplitude of the transmitted signal at the receiver) [10 points] Find the Fourier Series (trigonometric Fourier Series) of the message signal m (t) where To...
When the message signal m (t) =cos (2π fmt) and the carrier signal is c(t)=cos (2π fct) , fm<&...
When the message signal m (t) =cos (2π fmt) and the
carrier signal is c(t)=cos (2π fct) ,
fm<< fc,
The modulated DSB-SC signal
SDSB-SC=m(t)cos(2πfct) is generated, and only
the upper sideband
To generate and transmit the SSB signal. As shown in the figure
below, the receiver is a local oscillator
cosine signal to the received signal and passes it through a
low-pass filter. Answer the following questions.
(a) Draw the waveform of DSB-SC modulated signal
SDSB-SC(t）
(b)Find the result...
Consider a FM system that is used to communicate the following message signal: S. m(t) 20...
Consider a FM system that is used to communicate the following message signal: S. m(t) 20 0.05 0.1 015 10 -0.05 with a frequency deviation constant ky 10, and a message bandwidth of W =15 kHz the one-sided noise power-spectral density in the transmission channel is No= 10-8 W/Hz, and an attenuation of 10 is introduced during transmission in the channel as well. a. What is the average-to-peak-power ratio of the message (or, equivalently the power content of the normalized...
1. DSC-SC Modulation. Consider a message signal m(t) = 3 sinc(10t) this is applied to a product modulator with a carrier wave c(t) = 2 cos(100nt). (a) (5 points) Find and plot the Fourier transform S(f) of the DSB-SC modulated signal s(t). (b) (5 points) What is the bandwidth of s(t)? (c) (5 points) The signal s(t) is next applied to filter h(t), the output of the filter is named y(t). Now assume that I $2/300, If|< 30, H(f) =...
Question 4: (20 points) An FM signal is modulated with message m(t)Am cos(2Tmt). The measured amplitude spectrum, SPM(f), is shown below: Amplitude spectrum of the frequency modulated signal 2 -2 5000 4000 3000 2000 -1000 1000 2000 3000 4000 5000 frequency f [Hz] a) What is the carrier frequency fe? b) What is the message frequency fm c) What is the FM modulation index Bf? Is it a narrowband or a wideband signal? d) Using Carson's rule, estimate the transmission...
5. Consider the following message signal: m(t) -2 .3 10 Assume that the carrier frequency is f are kf = 105, kp-25 respectively. 108 Hz, and frequency and phase deviation constants Find the maximum and minimum frequency deviation for FM, and sketch the FM wave for a duration of 103 seconds shown in the above figure (5 points). a. b. Find the maximum and minimum frequency deviation for PM, sketch the PM wave for a duration of 103 seconds shown...
5. Consider the following message signal: -2 Assume that the carrier frequency is f are kr 105, kp 25 respectively. 108 Hz, and frequency and phase deviation constants Find the maximum and minimum frequency deviation for FM, and sketch the FM wave for a duration of 103 seconds shown in the above figure (5 points). a. b. Find the maximum and minimum frequency deviation for PM, sketch the PM wave for a duration of 103 seconds shown in the above...
Please do Part 4 and Show all work!
1. 145 points) <FM/FSK Modulation/Demodulations A periodic wave m(t) in Figure 1 below The resulting FM signal is demodulated as shown in the following figure by using frequency discriminator. Assume no attenuation of the signal due to propagation loss (in other words assume amplifiers properly restored the amplitude of the transmitted signal at the receiver) [10 points] Find the Fourier Series (trigonometric Fourier Series) of the message signal m (t) where To...
When the message signal m (t) =cos (2π fmt) and the
carrier signal is c(t)=cos (2π fct) ,
fm<< fc,
The modulated DSB-SC signal
SDSB-SC=m(t)cos(2πfct) is generated, and only
the upper sideband
To generate and transmit the SSB signal. As shown in the figure
below, the receiver is a local oscillator
cosine signal to the received signal and passes it through a
low-pass filter. Answer the following questions.
(a) Draw the waveform of DSB-SC modulated signal
SDSB-SC(t）
(b)Find the result...
Consider a FM system that is used to communicate the following message signal: S. m(t) 20 0.05 0.1 015 10 -0.05 with a frequency deviation constant ky 10, and a message bandwidth of W =15 kHz the one-sided noise power-spectral density in the transmission channel is No= 10-8 W/Hz, and an attenuation of 10 is introduced during transmission in the channel as well. a. What is the average-to-peak-power ratio of the message (or, equivalently the power content of the normalized...
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