Noise with double-sided power spectral density of K over all frequencies is passed through a RC low pass filter with 3 dB cut-off frequency of fc. The noise power at the filter output is
A signal m(t) = 5cos2π100t frequency modulates a carrier. The resulting FM signal is 10cos{(2π105t) + 15sin(2π100t)}. The approximate bandwidth of FM would be
Consider the wave form V(t) = (1 + mcosωmt)cosωt.
Show that, it the demodulated wave is to follow the envelope of V(t), it is required that at any time t0
In a typical frequency multiplier application using a PLL, a decade counter was inserted between the VCO output and the relevant phase comparator input. If the input frequency is 10 kHz, the VCO output frequency would be
The probability density function F(x) = ae-b|x|, where x is a random variable whose allowable value range is from x = -∞ to x = +∞. The CDF for this function for x ≥ 0 is
A 4 GHz carrier is DSB-SC modulated by a low pass message signal with maximum frequency of 2 MHz. The resultant signal can be ideally sampled by sampling impulse train with frequency of
An angle modulated signal with carrier frequency ωc = 2π × 105 is described by the equation s(t) = 10cos(ωct + 5sin(3000πt) + 10sin(2000πt). What is the frequency deviation ∆f?
Determine whether the following statements are true or false with respect to Pulse Amplitude Modulation.
1. Instantaneous sampling of the message signal m(t) every Ts seconds, where the sampling rate fs=Ts1 is chosen in accordance with the sampling theorem.
2. Lengthening the duration of each sample obtained to some constant value T