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Problem A DSB-SC AM signal is modulated by the signal m(t) = cos(4000st) - cos(1000nt). The...
Problem A DSB-SC AM signal is modulated by the signal m(t) = cos(4000st) - cos(1000nt). The modulated signal is u(t) = 200 m(t) cos(21tfct), where f=1 MHz. 1. Determine and sketch the spectrum of the AM signal. 2. Determine the average power in the frequency components 3. Find a resonable choice of R and C to design an envelope detector for this DSB-SC AM signal.
The input to an envelope detector is a DSB-LC signal of the form (t) = A[1...
The input to an envelope detector is a DSB-LC signal of the form (t) = A[1 + u cos 21 fmt] cos 2n fet where 0 <u < 1 and fc >> fm. If the envelope detector output is to follow the envelope of (t) at any time t, then the RC constant should satisfy the condition: 1+ u cos 21 fmt RC = 21fmu sin 21 fmt Show that for the above condition to be satisfied at all times,...
An information signal is of the form s(t) = sin(2*pi*t)/t. The signal amplitude modulates a carrier...
An information signal is of the form s(t) = sin(2*pi*t)/t. The signal amplitude modulates a carrier of frequency 10Hz. Find and sketch the Waveform and Fourier transform of the transmitted signal before and after AM modulation. For AM modulation you can consider the simple case of DSB format (or double-sideband suppressed carrier modulation).
Consider the message signal m(t):
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...
1. If m(t) = cos(800 mt) cos(2007) - signal to be transmitted, and c(t) = 5...
1. If m(t) = cos(800 mt) cos(2007) - signal to be transmitted, and c(t) = 5 cos(5000ft) - Carrier signal , (a) Sketch DSB-TC(f) (b) Find modulated signal bandwidth (c) Find modulation index (u), and power efficiency (n). 2. Sketch the mixer block diagram to convert di(t) to 02(t) and indicate all blocks parameters (a) 61(t) = 10 cos(200mt) cos(13000) (b) 02(t) = 10 cos(200 mt) cos(22000 nt))
Let m(t) = cos wmt denote the message signal to modulate with wm = 200 Hz....
Let m(t) = cos wmt denote the message signal to modulate with wm = 200 Hz. The carrier frequency is given by We = 100 Hz. You will perform modulation and demodulation of double sideband-suppresed carrier (DSB-SC). 1. Modulate m(t). (4 pts) Note: Denote the result of modulation as Smod(t). 2. Demodulate Smod(t). (6 pts) Note: Denote the result of modulation as Sdem(t). Note: To get full credits, strictly mark on m(t) recovered.
Please do Part 4 and Show all work! 1. 145 points) <FM/FSK Modulation/Demodulations A periodic wave m(t) in Figure 1 below The resulting FM signal is demodulated as shown in the following figure b...
Please do Part 4 and Show all work!
1. 145 points) <FM/FSK Modulation/Demodulations A periodic wave m(t) in Figure 1 below The resulting FM signal is demodulated as shown in the following figure by using frequency discriminator. Assume no attenuation of the signal due to propagation loss (in other words assume amplifiers properly restored the amplitude of the transmitted signal at the receiver) [10 points] Find the Fourier Series (trigonometric Fourier Series) of the message signal m (t) where To...
3. An amplitude-modulated (AM) signal is given by s(t)-[12+7cos(π-π/3)]cos(13m). (a) Express s(t) in the form of...
3. An amplitude-modulated (AM) signal is given by s(t)-[12+7cos(π-π/3)]cos(13m). (a) Express s(t) in the form of A cos( +4)-A, cos(o,t + φ2) + A3 cos(wyt + φ3). (b) Sketch the amplitude and phase spectra of s(t)
In this assignment, you will be working with two sinusoidal signals. The higher-frequency signal c(t)...
In this assignment, you will be working with two sinusoidal signals. The higher-frequency signal c(t) = cos(2*pi*F*t) (where F is in Hertz) will be referred to as "carrier"; while the lower-frequency signal v(t) = 1.5 + cos(2*pi*f*t + q) (f in Hz, again) will be referred to as "envelope". Note that the envelope has a positive offset of 1.5 units. In amplitude modulation (AM), the envelope multiplies the carrier and the resulting product signal is the AM...
Power Spectrum of AM A baseband message signal is given byWn (t)-5 cos 2π 2500t +...
Power Spectrum of AM A baseband message signal is given byWn (t)-5 cos 2π 2500t + 4 cos 2π 5500. An AM waveform carrying this message g(t)-50[1 + μ m(t) mp]cos 2π5x 109, where mp s the peak value of m(t a) Plot (by hand) the power spectrum S (f) of the AM waveform g(t) with 0.6 (You can get help with this from the handout A Power Spectrum Primer. See the section "Finding the Power Spectrum of a Periodic...
Problem A DSB-SC AM signal is modulated by the signal m(t) = cos(4000st) - cos(1000nt). The modulated signal is u(t) = 200 m(t) cos(21tfct), where f=1 MHz. 1. Determine and sketch the spectrum of the AM signal. 2. Determine the average power in the frequency components 3. Find a resonable choice of R and C to design an envelope detector for this DSB-SC AM signal.
The input to an envelope detector is a DSB-LC signal of the form (t) = A[1 + u cos 21 fmt] cos 2n fet where 0 <u < 1 and fc >> fm. If the envelope detector output is to follow the envelope of (t) at any time t, then the RC constant should satisfy the condition: 1+ u cos 21 fmt RC = 21fmu sin 21 fmt Show that for the above condition to be satisfied at all times,...
1. If m(t) = cos(800 mt) cos(2007) - signal to be transmitted, and c(t) = 5 cos(5000ft) - Carrier signal , (a) Sketch DSB-TC(f) (b) Find modulated signal bandwidth (c) Find modulation index (u), and power efficiency (n). 2. Sketch the mixer block diagram to convert di(t) to 02(t) and indicate all blocks parameters (a) 61(t) = 10 cos(200mt) cos(13000) (b) 02(t) = 10 cos(200 mt) cos(22000 nt))
Let m(t) = cos wmt denote the message signal to modulate with wm = 200 Hz. The carrier frequency is given by We = 100 Hz. You will perform modulation and demodulation of double sideband-suppresed carrier (DSB-SC). 1. Modulate m(t). (4 pts) Note: Denote the result of modulation as Smod(t). 2. Demodulate Smod(t). (6 pts) Note: Denote the result of modulation as Sdem(t). Note: To get full credits, strictly mark on m(t) recovered.
Please do Part 4 and Show all work!
1. 145 points) <FM/FSK Modulation/Demodulations A periodic wave m(t) in Figure 1 below The resulting FM signal is demodulated as shown in the following figure by using frequency discriminator. Assume no attenuation of the signal due to propagation loss (in other words assume amplifiers properly restored the amplitude of the transmitted signal at the receiver) [10 points] Find the Fourier Series (trigonometric Fourier Series) of the message signal m (t) where To...
3. An amplitude-modulated (AM) signal is given by s(t)-[12+7cos(π-π/3)]cos(13m). (a) Express s(t) in the form of A cos( +4)-A, cos(o,t + φ2) + A3 cos(wyt + φ3). (b) Sketch the amplitude and phase spectra of s(t)
Power Spectrum of AM A baseband message signal is given byWn (t)-5 cos 2π 2500t + 4 cos 2π 5500. An AM waveform carrying this message g(t)-50[1 + μ m(t) mp]cos 2π5x 109, where mp s the peak value of m(t a) Plot (by hand) the power spectrum S (f) of the AM waveform g(t) with 0.6 (You can get help with this from the handout A Power Spectrum Primer. See the section "Finding the Power Spectrum of a Periodic...
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