5. Plot the signal in the assigned area (10 bonus points): (a + m(t)) cos [1...
8) For the modulated signal m(t)Cos(wt in the demodulation process to recover the original signal m( )which of the following signals and filters will be used a. Sin(2wt), Low pass filter b. Cos(2wt), Band pass filter c. Cos(wt), Low pass filter d. Cos2 (wt), Band pass filter
8) For the modulated signal m(t)Cos(wt in the demodulation process to recover the original signal m( )which of the following signals and filters will be used a. Sin(2wt), Low pass filter b. Cos(2wt),...
When the message signal m (t) =cos (2π fmt) and the
carrier signal is c(t)=cos (2π fct) ,
fm<< fc,
The modulated DSB-SC signal
SDSB-SC=m(t)cos(2πfct) is generated, and only
the upper sideband
To generate and transmit the SSB signal. As shown in the figure
below, the receiver is a local oscillator
cosine signal to the received signal and passes it through a
low-pass filter. Answer the following questions.
(a) Draw the waveform of DSB-SC modulated signal
SDSB-SC(t)
(b)Find the result...
1. DSC-SC Modulation. Consider a message signal m(t) = 3 sinc(10t) this is applied to a product modulator with a carrier wave c(t) = 2 cos(100nt). (a) (5 points) Find and plot the Fourier transform S(f) of the DSB-SC modulated signal s(t). (b) (5 points) What is the bandwidth of s(t)? (c) (5 points) The signal s(t) is next applied to filter h(t), the output of the filter is named y(t). Now assume that I $2/300, If|< 30, H(f) =...
1. Signal f(t) : (5 + rect( )) cos(60πt) is mixed with signal cos(60πt) to produce the signal y(t). Subsequently, COS y(t) is low-pass filtered with a system having frequency response H(w) = 4recG ) to produce q(t). Sketch F(w),Y(w), Q(u), and determine q(t) 2. If signal f(t) is not band-limited, would it be possible to reconstruct f(t) exactly from its samples f(nT) taken with some finite sampling interval T> 0? Explain your reasoning
1. Signal f(t) : (5 +...
PROBLEM III (25 points) The signal v,(t) circuit 2 cos(20rt) cos(10rt) is placed at the input of a linear and time invariant Ideal #1 low-pass filter with frequency response H(o) al where de 20π. Find the output signal v2(t) using Fourier transform.
Q1. A single-tone FM signal which can be expressed as, s(t) = 4, cos[2oft+ß sin(21f „t)] is applied to a square-law device with output voltage v2 related to input voltage vi by vz(t)= av (t) where a is a constant. a. Determine analytic expression of the output signal. b. Explain how such a device can be used to obtain an FM signal with a greater frequency deviation (Af) than that available at the input. Q2. The spectrum of a message...
1. Given a baseband signal m(t) sin(1000mt) cos(3000nt) + cos(3700nt a. Sketch the spectrum of m(t) (Hint. sin(a) cos(b) 0.5 sin(a +b) +0.5sin a-b)) b. Sketch the spectrum of DSB-CS signal m(t)cos(10000mt) C ldentify the upper sideband {USB) and lower sideband (LSB) spectra d. Give the black diagram of the receiver to receive DSB-CS signal in (b). 2. baseband signal m(r)--0.5 + Σ..小(t-n)-u(t-0.5-n)] where ult) is the Given unit step function, an amplitude modulated signal is as SAM 107+ m(0cos...
1. Given the following AM rectifier detector circuit and its input and output signals: a t m()] cos RIr) LA + m(o) ? m(1) Low-pass A + m()) cos m(t) a. [40 points] Find Va(t), the modulated input signal into the low-pass filter. b. [10 points] Show that (1/T)m(t) is the signal across the output resistor R.
4. [20 points] A modulating signal m(t) is given by m(t)-cos(100nt)cos(500nt): 1) [5 points] Sketch the spectrum of m(t). 2) [5 points] Find and sketch the spectrum of the DSB-SC signal 2m(t)cos(1000t). 3) [5 points] From the spectrum obtained in 2), suppress the LSB to obtain the USB spectrum and sketch it. 4) [5 points] Knowing the USB spectrum in 3), write the expression puse(t) for the USB signal For full credit, label frequencies and magnitudes of the spectra for...
Q1) Given an analog signal X(t) = 3 cos (2π . 2000t) + 2 cos (2π . 5500t) sampled at a rate of 10,000 Hz, a. Sketch the spectrum of the sampled signal up to 20 kHz; b. Sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 4 kHz is used to filter the sampled signal in order to recover the original signal ; c. Determine the frequency/frequencies of aliasing noise . Q2)...