5. Consider the following message signal: -2 Assume that the carrier frequency is f are kr 105, k...
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...
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).
Find he 20 200 114 pts) Problem 6) A phase-modulated signal is denoted by the following equation: (a) Find the power of the modulated signal. (b) Find the carrier frequency fe (c) Find the frequency deviation Δ. (d) Find the deviation ratio B (e) Find the phase deviation A (t Estimate the bandwidth of pptt). (g) Knowing that the k, of the frequency modulator equal to 2n, what will the FM representation of this signal be if the FM modulator...
Consider the message signal m(t):a. Sketch the AM signal u(t)=[ A + m(t) ] Cos(wct) for modulation indexes μ = 0.5 and μ = 2.0 by assuming the carrier frequency to be much higher than the bandwidth of m(t) b. Determine the efficiency percentage (η = ps/pt) for μ = 0.5. Herein, Ps and Pt are sideband and total powers respectively, and Pt= Ps + Pc , in which Pc is the carrier power. Hint : Take into account the Parseval's property. c. If the AM waveforms corresponding...
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...
1- Signal m(t) is shown in Figure 1. This signal is used once to frequency modulate a carrier and once to phase modulate the same carrier. a) Find a relation between kp and k such that the maximum phase of the modulated signals in both cases are equal. b) If kp k 1, what is the maximum instantaneous frequency in each case? m(r) 0 1- Signal m(t) is shown in Figure 1. This signal is used once to frequency modulate...
P3 – An angle modulated signal is given by ?(?) = 80cos[2? ∗ 108 ? + 10 sin(4? ∗ 103 ?)] a) If the signal is a PM modulated signal, determine the maximum phase deviation. b) If the signal is a FM modulated signal, determine the maximum frequency deviation. c) Assume that the modulating frequency in the signal given is tripled, and the signal is an FM signal with the same frequency deviation. Write an equation for the signal.
An FM signal has an intelligence frequency of 5 KHz, a maximum deviation of 30 KHz, and a carrier frequency of 162.4 MHz. Use the Bessel Function chart to answer the following: a) Its bandwidth b) How many frequency components are there in the output spectrum? c) What is the frequency of the highest frequency component within its bandwidth?
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...