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Consider the NB-FM signal s(t)c the ratio of the maximum to the minimum value of the...
Consider a narrow-band FM signal approximately defined by )A.coset-B,sin)sinff) 21, sm27,t)sin a) Determine the envelope of this modulated signal b) What is the ratio of the maximum to the minimum va...
Consider a narrow-band FM signal approximately defined by )A.coset-B,sin)sinff) 21, sm27,t)sin a) Determine the envelope of this modulated signal b) What is the ratio of the maximum to the minimum value of this envelope? Plot this ratio versus B, assuming Osps03. c) Determine the average power of the narrow-band FM signal, expressed as a percentage of the average power of the unmodulated carrier wave. Plot this result versus β, assuming 0 β 03.
Consider a narrow-band FM signal approximately defined...
Consider an FM system where the modulated signal is
Consider an FM system where the modulated signal is s(t) = 10 cos (2πfct + 2πkf∫0t m(τ)dτ)where the carrier frequency is fc = 100 MHz. The modulation signal is m(t) = 10 cos(2πfmt), where fm = 3 kHz. (a) Assuming that kf = 10, what is the approximate bandwidth of s(t)? (b) Find the instantaneous frequency fi(t) of s(t). What are the maximum and minimum values of fi(t) ?
1. FM modulation. Consider a message signal m(t)-(2nt and a carrier wave c(t)-cos(400rt) (a) (20 points)...
1. FM modulation. Consider a message signal m(t)-(2nt and a carrier wave c(t)-cos(400rt) (a) (20 points) Derive the FM modulated signal s(t) for ky-2 (b) (25 points) Find the Fourier transform, S(), of s(t) (Sketch to scale). (c) (5 points) What is the bandwidth of the modulated signal s(t).
1. Consider the narrow-band FM wave approximately defined by Eq.(4.17). Do the following (a) Dete...
1. Consider the narrow-band FM wave approximately defined by Eq.(4.17). Do the following (a) Determine the envelope of this modulated wave. What is the ratio of the maximum to the minimum value of this envelope? (b) Determine the average power of the narrow-band FM wave, expressed as a percentage of the average power of the unmodulated carrier wave. (c) By expanding the angular argument of the narrow-band FM wave in the form ofa power series, and restricting the modulation index...
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.
Find the instantaneous frequency of the next signal at t = 4. (a) x(t) = 10...
Find the instantaneous frequency of the next signal at t = 4. (a) x(t) = 10 cos[20xt+10 sin(t/4)) (b) x(t) = 262719) () X(t)=10[cos(2nt) cos(atº/4) + sin(24t) sin( nt/ 4)] Suppose that the information signal is as shown in the following figure. When each modulating this signal using 100KHz as the carrier frequency, find the frequency shift and phase shift when FM is modulated with 5,=10. What is the maximum frequency shift and maximum phase shift? 0.5+ -0.5 ost Suppose...
5-20pts) Let s(t) be an angle-modulated signal that a receiver obtains. s(t) 2cos(10'rt +2sin(200...
5-20pts) Let s(t) be an angle-modulated signal that a receiver obtains. s(t) 2cos(10'rt +2sin(2000mt)+3sin(1000mt)] a) Find the bandwidth of this FM signal. b) If s() is sent to an (ideal) envelope detector, find the detector output signal. c) If s(t) is first differentiated before the envelope detector, find the detector output signal. d) Explain which detector output can be processed to yield the message signal m() and find the message signal m() if ky- 200π.
5-20pts) Let s(t) be an...
Consider the FM signal: s(t) = 8cos[2πx105t+3∫-∞t m(t)dt]
Consider the FM signal: s(t) = 8cos[2πx105t+3∫-∞t m(t)dt] (a) Determine the instantaneous frequency and instantaneous phase of s(t). (b) Determine the frequency deviation and phase deviation of s(t) (c) Suppose the maximum value of |m(t)| is 4000 π, determine the maximum frequency deviation of s(t) (d) If m(t) has a bandwidth of 5 kHz, determine the bandwidth of s(t)
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 a narrow-band FM signal approximately defined by )A.coset-B,sin)sinff) 21, sm27,t)sin a) Determine the envelope of this modulated signal b) What is the ratio of the maximum to the minimum value of this envelope? Plot this ratio versus B, assuming Osps03. c) Determine the average power of the narrow-band FM signal, expressed as a percentage of the average power of the unmodulated carrier wave. Plot this result versus β, assuming 0 β 03.
Consider a narrow-band FM signal approximately defined...
1. FM modulation. Consider a message signal m(t)-(2nt and a carrier wave c(t)-cos(400rt) (a) (20 points) Derive the FM modulated signal s(t) for ky-2 (b) (25 points) Find the Fourier transform, S(), of s(t) (Sketch to scale). (c) (5 points) What is the bandwidth of the modulated signal s(t).
1. Consider the narrow-band FM wave approximately defined by Eq.(4.17). Do the following (a) Determine the envelope of this modulated wave. What is the ratio of the maximum to the minimum value of this envelope? (b) Determine the average power of the narrow-band FM wave, expressed as a percentage of the average power of the unmodulated carrier wave. (c) By expanding the angular argument of the narrow-band FM wave in the form ofa power series, and restricting the modulation index...
Find the instantaneous frequency of the next signal at t = 4. (a) x(t) = 10 cos[20xt+10 sin(t/4)) (b) x(t) = 262719) () X(t)=10[cos(2nt) cos(atº/4) + sin(24t) sin( nt/ 4)] Suppose that the information signal is as shown in the following figure. When each modulating this signal using 100KHz as the carrier frequency, find the frequency shift and phase shift when FM is modulated with 5,=10. What is the maximum frequency shift and maximum phase shift? 0.5+ -0.5 ost Suppose...
5-20pts) Let s(t) be an angle-modulated signal that a receiver obtains. s(t) 2cos(10'rt +2sin(2000mt)+3sin(1000mt)] a) Find the bandwidth of this FM signal. b) If s() is sent to an (ideal) envelope detector, find the detector output signal. c) If s(t) is first differentiated before the envelope detector, find the detector output signal. d) Explain which detector output can be processed to yield the message signal m() and find the message signal m() if ky- 200π.
5-20pts) Let s(t) be an...
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...
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