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) ?
Homework Answers
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.
Consider an FM system where the modulated signal iss(t) = 10 cos2fct+ 2kfZt0m()dwhere the carrier frequency...
Consider an FM system where the modulated signal iss(t) = 10 cos2fct+ 2kfZt0m()dwhere the carrier frequency isfc= 100 MHz. The modulation signal ism(t) = 10 cos(2fmt),wherefm= 3 kHz
Communication systems d) The angle modulated signal is presented as = 1008 (2*10*4 +0.5sin(10*x+)) 1. Find...
Communication systems
d) The angle modulated signal is presented as = 1008 (2*10*4 +0.5sin(10*x+)) 1. Find and determine the frequency modulated signal x(C) with k, = 5. (5 marks) II. Calculate and find out the message signal m(t). (5 marks) e) A 40 MHz carrier is frequency-modulated by a sinusoidal signal with mascimum frequency deviation of 500 KHz. I. Find and calculate the approximate bandwidth of the FM signal the frequency of the message signal is 1 kHz. (5 marks)...
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...
a. For the wideband FM signal given by SFM(t) = cos[2πfct+ 3sin2π25t]
a. For the wideband FM signal given by SFM(t) = cos[2πfct+ 3sin2π25t], draw only positive side of the spectrum, (from n=-5 to n=+5). Assume the carrier frequency (fc) of 1 KHz. Hint: First calculate β by comparing the signal with SFM(t) equation b. The FM signal of part (a) is passed through a bandpass filter centered at 1 KHz with a bandwidth of 210 Hz, as shown below. Draw the new spectrum and calculate the bandwidth and power of the filtered FM...
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...
Select the correct statement regarding the difference between the FM modulated signal waveform and the AM...
Select the correct statement regarding the difference between
the FM modulated signal waveform and the AM modulated signal
waveform.
a. The FM signal wave changes frequency according to the message
wave m(t). The "peak" amplitude of the FM signal, Ac=5, remains
constant.
b. There is no difference between the FM and AM signal waves
because they are both modulated by the same message wave, m(t) =
Amcos(2πfmt)
c. The AM signal wave frequency changes with the message wave m(t)
while...
Prob. 5 (a) Consider the FM signal with modulation index B 2 is passed through an ideal band-pass...
Prob. 5 (a) Consider the FM signal with modulation index B 2 is passed through an ideal band-pass filter (BPF) with mid-band frequency f and bandwidth 5f. where f is the carrier frequency and fmis the frequency of the baseband modulating signal (i) Sketch the spectrum of the BPF output. (ii) Determine the fraction of the power of the FM signal that is present at the output of the filter (b) Consider the FM signal given by фFM (t)-100 cos...
I need someone to code this up in C , and show the screen shot shot...
I need someone to code this up in C , and show the screen shot
shot of the output for some input
Design an amplitude modulation scheme that will generate the amplitude modulated signal yAM(t) ct)m(t)c(t) where c(t) sin 2rFd is the carrier with carrier frequency F, and m(t)-A,n sin 2πFmt is the modulating signal with amplitude Am and modulating frequency Fm. For initial values you may assume that Fc-6 kHz, Fm-400 Hz and Am-1.
Communication systems
d) The angle modulated signal is presented as = 1008 (2*10*4 +0.5sin(10*x+)) 1. Find and determine the frequency modulated signal x(C) with k, = 5. (5 marks) II. Calculate and find out the message signal m(t). (5 marks) e) A 40 MHz carrier is frequency-modulated by a sinusoidal signal with mascimum frequency deviation of 500 KHz. I. Find and calculate the approximate bandwidth of the FM signal the frequency of the message signal is 1 kHz. (5 marks)...
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...
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...
Select the correct statement regarding the difference between
the FM modulated signal waveform and the AM modulated signal
waveform.
a. The FM signal wave changes frequency according to the message
wave m(t). The "peak" amplitude of the FM signal, Ac=5, remains
constant.
b. There is no difference between the FM and AM signal waves
because they are both modulated by the same message wave, m(t) =
Amcos(2πfmt)
c. The AM signal wave frequency changes with the message wave m(t)
while...
Prob. 5 (a) Consider the FM signal with modulation index B 2 is passed through an ideal band-pass filter (BPF) with mid-band frequency f and bandwidth 5f. where f is the carrier frequency and fmis the frequency of the baseband modulating signal (i) Sketch the spectrum of the BPF output. (ii) Determine the fraction of the power of the FM signal that is present at the output of the filter (b) Consider the FM signal given by фFM (t)-100 cos...
I need someone to code this up in C , and show the screen shot
shot of the output for some input
Design an amplitude modulation scheme that will generate the amplitude modulated signal yAM(t) ct)m(t)c(t) where c(t) sin 2rFd is the carrier with carrier frequency F, and m(t)-A,n sin 2πFmt is the modulating signal with amplitude Am and modulating frequency Fm. For initial values you may assume that Fc-6 kHz, Fm-400 Hz and Am-1.
Most questions answered within 3 hours.
-
From the literature (reference your sources): What are the
lattice parameters of calcite and aragonite? Why...
asked 36 minutes ago -
Your system is rejecting the question am asking which is
preceded by a case study. It...
asked 40 minutes ago -
3. On January 2, 2000, Larry creates a trust with himself as
trustee. Larry as trustee...
asked 37 minutes ago -
A member of the volleyball team spikes the ball. During this
process, she changes the velocity...
asked 44 minutes ago -
Are adult gamers less likely to use a gaming console (Xbox,
PlayStation, Wii, etc...) than teen...
asked 1 hour ago -
The University of
Texas recently reported that 43% of college students aged 18-24
would spend their...
asked 1 hour ago -
The length of stay at a specific emergency department in
Phoenix, Arizona, in 2009 had a...
asked 1 hour ago -
. Please give the mechanism for this type of problem. Step by
Step
The toxin that...
asked 1 hour ago -
If you have a 1M stock solution and you want to dilute 1 :10
with water,...
asked 1 hour ago -
In a load instruction, the effective address is obtained by
A) Retriving the address from a...
asked 1 hour ago -
Use the following information to answer this question.
Windswept, Inc. 2017 Income Statement ($ in millions)...
asked 1 hour ago -
A mutual fund salesperson has arranged to call on four people
tomorrow. Based on past experience...
asked 1 hour ago