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6. The following expression is for an FM signal for transmitting the message signal m(t) rt)...
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...
The input r(t) to a DSBSC receiver is a DSB signal s(t) = A m(t)cos (21fet)...
The input r(t) to a DSBSC receiver is a DSB signal s(t) = A m(t)cos (21fet) corrupted by additive white Gaussian noise with two-sided power spectral density N,/2, where No = 10-12 W/Hz, m(t) is a message signal bandlimited to 10 kHz. Average power of m(t) is Pm = 4 W and Ac = 2 mV. The block diagram of the receiver is shown below. Note that the receiver has filters which have slightly larger bandwidths than a typical DSB...
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...
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...
2. 12 pts] An FM system has a modulation index β-6 aid the input signal-to-noise ratio SNR 25dB. ...
2. 12 pts] An FM system has a modulation index β-6 aid the input signal-to-noise ratio SNR 25dB. The message is a periodic square wave given in the figure below pulse width -0.2m 2 0 0 t (ms) a) What is the output SNR.? b) What is the proper value of the message bandwidth? [Justify your answer. c) What is the corresponding FM transmission bandwidth? d) If the modulation index is kept at β 6, what should be the increase...
In a broadcasting system, the transmitted signal power is 50 kW, the attenuation of the signal...
In a broadcasting system, the transmitted signal power is 50 kW, the attenuation of the signal is 155 dB (in passing from the input to the transmitting antenna to the output of the receiving antenna), and the available mean power-spectral density of the noise in the system from all sources has a mean power spectral density level 10-18 W/Hz (as if added at the receiving antenna's output). The bandwidth of the message signal m(t) is 8 KHz. Determine the output...
Given a message signal m(t) with a bandwidth of 4kHz and a Power of 1W, find the post-detection S...
Given a message signal m(t) with a bandwidth of 4kHz and a Power of 1W, find the post-detection SNR (Signal-to-noise Ratio) in [dB], of the Amplitude Modulated Signal: s(t) = 10*(1+0.5*m(t))cos(
5) given the following PM modulated signal equation, determine the original message equation, m(t) . s(t)=...
5) given the following PM modulated signal equation, determine the original message equation, m(t) . s(t)= 3.5cos(2π2E9t + 0.5cos(2π6000t)), Kp=0.1 (hz/v) a) m(t)=0.16cos(2π6000t) b) m(t) = 5cos(2π6E3t) c) m(t) = 5cos(2π2E9t) d) m(t) = 0.16cos(2π2.4E9t) 6) given the following message and carrier waves. Determine the AM signal equation and (DSB-LC) bandwidth: m(t) =2sin(2π10KHz*t). c(t) =3sin(2π2.4E9Hz*t) a) 5[1+0.6sin(200πt)]sin(2π10E9t), BW=10kHz b) 3[1+0.67 sin(2π10E3t)]sin(2π2.4E9t), BW=20kHz c) 3[1+0.6sin(2.4GHz*πt)]sin(2π10E3Hz*t), BW=20kHz d) 3[1+1.67 sin(2π50t)]sin(2π10E9tt), BW=10kHz 7) amplitude used in a communication path will increase both signal...
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...
The message signal m (t) = Am cos (2nf, t) is used to generate the VSB signal ( 1-α)AμΑ, aAm A cos [2T(fe+fm)t]+ 2...
The message signal m (t) = Am cos (2nf, t) is used to generate the VSB signal ( 1-α)AμΑ, aAm A cos [2T(fe+fm)t]+ 2 cos [2T(f-m)t], where 0<a< 1. s(t) 2 Find the expression of s(t), where s(t) is the baseband representation of s(t)
The message signal m (t) = Am cos (2nf, t) is used to generate the VSB signal ( 1-α)AμΑ, aAm A cos [2T(fe+fm)t]+ 2 cos [2T(f-m)t], where 0
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...
The input r(t) to a DSBSC receiver is a DSB signal s(t) = A m(t)cos (21fet) corrupted by additive white Gaussian noise with two-sided power spectral density N,/2, where No = 10-12 W/Hz, m(t) is a message signal bandlimited to 10 kHz. Average power of m(t) is Pm = 4 W and Ac = 2 mV. The block diagram of the receiver is shown below. Note that the receiver has filters which have slightly larger bandwidths than a typical DSB...
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...
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...
2. 12 pts] An FM system has a modulation index β-6 aid the input signal-to-noise ratio SNR 25dB. The message is a periodic square wave given in the figure below pulse width -0.2m 2 0 0 t (ms) a) What is the output SNR.? b) What is the proper value of the message bandwidth? [Justify your answer. c) What is the corresponding FM transmission bandwidth? d) If the modulation index is kept at β 6, what should be the increase...
In a broadcasting system, the transmitted signal power is 50 kW, the attenuation of the signal is 155 dB (in passing from the input to the transmitting antenna to the output of the receiving antenna), and the available mean power-spectral density of the noise in the system from all sources has a mean power spectral density level 10-18 W/Hz (as if added at the receiving antenna's output). The bandwidth of the message signal m(t) is 8 KHz. Determine the output...
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...
The message signal m (t) = Am cos (2nf, t) is used to generate the VSB signal ( 1-α)AμΑ, aAm A cos [2T(fe+fm)t]+ 2 cos [2T(f-m)t], where 0<a< 1. s(t) 2 Find the expression of s(t), where s(t) is the baseband representation of s(t)
The message signal m (t) = Am cos (2nf, t) is used to generate the VSB signal ( 1-α)AμΑ, aAm A cos [2T(fe+fm)t]+ 2 cos [2T(f-m)t], where 0
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