Question

a. (10 Marks) A FM (frequency modulation) signal x(t) is given by, $x(t) = Acos \left(2\pi f_c t + 2\pi k \int_0^t m(\lambda)d\lambda \right)$ where, A = 10 volts $f_c = 477.15$ MHz, $m(t) = cos(2\pi f_m t)$ Volts, $f_m = 3.1$ kHz Assume that the signal bandwidth of an FM signal is determined by Carson's Rule, which states that the FM bandwidth, $B_{FM}$, is given by, $B_{FM} = 2(\Delta f + f_m)$, where, $\Delta f$ is the peak frequency deviation from the centre frequency of the modulated signal, and, $f_m$ is the bandwidth of the low-pass modulating signal. The required modulated FM signal bandwidth for a particular design is $B_{FM} = 12.5$ kHz. What is the required numerical value of the constant, k, in Hz/Volt to satisfy the FM bandwidth requirement?

          a. (10 Marks)
A FM (frequency modulation) signal x(t) is given by,
$x(t) = Acos \left(2\pi f_c t + 2\pi k \int_0^t m(\lambda)d\lambda \right)$
where, A = 10 volts
$f_c = 477.15$ MHz,
$m(t) = cos(2\pi f_m t)$ Volts,
$f_m = 3.1$ kHz
Assume that the signal bandwidth of an FM signal is determined by Carson's Rule, which states that the FM
bandwidth, $B_{FM}$, is given by,
$B_{FM} = 2(\Delta f + f_m)$, 
where, $\Delta f$ is the peak frequency deviation from the centre frequency
of the modulated signal,
and, $f_m$ is the bandwidth of the low-pass modulating signal.
The required modulated FM signal bandwidth for a particular design is $B_{FM} = 12.5$ kHz.
What is the required numerical value of the constant,
k, in Hz/Volt to satisfy the FM bandwidth requirement?

a. (10 Marks)
A FM (frequency modulation) signal x(t) is given by,
x(t) = Acos (2π fc t + 2π k ∫0^t m(λ)dλ)
where, A = 10 volts
fc = 477.15 MHz,
m(t) = cos(2π fm t) Volts,
fm = 3.1 kHz
Assume that the signal bandwidth of an FM signal is determined by Carson's Rule, which states that the FM
bandwidth, BFM, is given by,
BFM = 2(Δ f + fm),
where, Δ f is the peak frequency deviation from the centre frequency
of the modulated signal,
and, fm is the bandwidth of the low-pass modulating signal.
The required modulated FM signal bandwidth for a particular design is BFM = 12.5 kHz.
What is the required numerical value of the constant,
k, in Hz/Volt to satisfy the FM bandwidth requirement?

Added by Lauren M.

Question

Please give Ace some feedback