![Question # 4(a) a. Time period of x(t) Cos(10Tmt) issec b. Time period of x(t) Cos(10Tt) +Cos (50Tt) issec c. Frequency of x(t) Cos(10mt) isHz d. Frequency ofx(t) Cos(10mt) + Cos(50πt) is- --Hz e. Phase spectrum is anfunction of frequency. f. Magnitude spectrum is an g To check stability in time domain, a system H(s) is stable if and only if function of frequency. h. To check stability in time domain, a system ht) is stable if and only if i. Bandwidth of x(t) = Cos(50mt) is Hz j. Convolution in time domain is equivalent to in frequency domain. Question # 4 (b) 12x 5 10 points ] k. According to Fourier analysis any periodic signal can be expressed as sum of DC component, and waves, regardless of l. What is Gibbs phenomena.](http://img.homeworklib.com/questions/bddbcdf0-5e85-11eb-82c1-d33ac8bee0c8.png?x-oss-process=image/resize,w_560)
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Question # 4(a) a. Time period of x(t) Cos(10Tmt) issec b. Time period...
QUESTION 4 For the signal m(t) = 3 cos(1200nt) + Scos(1500ft) and the carrier frequency fc...
QUESTION 4 For the signal m(t) = 3 cos(1200nt) + Scos(1500ft) and the carrier frequency fc = 20 KHz 1. Find SSB/USB in time domain and 2. Sketch the Spectrum of SSB/USB (frequency domain) 3. Find the bandwidth of the SSB/USB Arial24191) TE STEMME
QUESTION 2 (20 MARKS) (a) A continuous time signal x(t) = 3e2tu(-t) is an input to...
QUESTION 2 (20 MARKS) (a) A continuous time signal x(t) = 3e2tu(-t) is an input to a Linear Time Invariant system of which the impulse response h(t) is shown as h(t) = { .. 12, -osts-2 elsewhere Compute the output y(t) of the system above using convolution in time domain for all values of time t. [8 marks) (b) The impulse response h[n] of an LTI system is given as a[n] = 4(0.6)”u[n] Determine if the system is stable. [3...
A single tone message signal, m(t) = 2 cos(211 X 1000 t), (freq. is in Hz)...
A single tone message signal, m(t) = 2 cos(211 X 1000 t), (freq. is in Hz) is applied to an FM modulator with the following parameters: Amplitude of the Carrier = 10 (V), Carrier Frequency = 100 (kHz), Frequency sensitivity factor = kx = 103 (Hz/Volt). The modulated signal s(t) is passed through a bandpass filter centered at 102 (kHz) with a bandwidth of 3(kHz), and the output signal sf(t) is obtained. (a) Express the output of the filter, sf(t)...
Question 4: (20 points) An FM signal is modulated with message m(t)Am cos(2Tmt). The measured amp...
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...
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency resp...
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency response: H(G What signal y(t) is observed at the output? Problem 2 The inverse Fourier transform of a system frequency response is given by h(t)t. The signal x(t) 3 cos(4t 0.5) is input to the system (t in seconds). (a) What is the expression of the signal y(t) at the system output? (b) What is the power attenuation in dB caused by the...
Consider a sampler which samples the continuous-time input signal x(t) at a sampling frequency fs =...
Consider a sampler which samples the continuous-time input signal x(t) at a sampling frequency fs = 8000 Hz and produces at its output a sampled discrete-time signal x$(t) = x(nTs), where To = 1/fs is the sampling period. If the sampled signal is passed through a unity-gain lowpass filter with cutoff frequency of fs/2, sketch the magnitude spectrum of the resulting signal for the following input signals: (a) x(t) = cos(6000nt). (b) x(t) = cos(12000nt). (c) x(t) = cos(18000nt).
(Please give all the solutions and steps, if you give the answer by picture please post...
(Please give all the solutions and steps, if you give the answer
by picture please post a clear picture. Please don't answer the
question if you can't do all the questions, THANKS).
0.1 22. The first zero-crossing bandwidth of the signal shown above is a)5Hz b) 10 Hz c) 15 Hz d) 20 Hz e) none above 23. The Hilbert transform of the Hilbert transform of x(t) is a) x(t)(t) b) -x(t) c)jx(t d)-jx(t) e) none above 24. A system...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given bel...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this ...
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this signal both in the time-domain and frequency domain. (b) For the following square wave v(t), determine if it is a periodic signal, and if yes, what 10 V sin 4. [61 are its amplitude, period T and fundamental frequency f? Why do we need to convert this signal into sine/cosine wave for transmission? 2 o-oims (c) () According to Fourier Theorem, the above signal...
Parts e through f only 3. Let the RF signal s(t)A cos(8,() where Here β-0.2 and...
Parts e through f only
3. Let the RF signal s(t)A cos(8,() where Here β-0.2 and A,-2.0V andfel 00MHz andf-2kHz and A,-10V a. Is the phase or frequency modulation? b. What is the modulation index? c. Find the frequency deviation d. Find the frequency sensitivity factor in Hz/V. e. Plot the amplitude spectrum of s(t). State any approximations f. What is the total power in s(t)? g. How much power is at f-100MHz? h. What is the RF bandwidth?
QUESTION 4 For the signal m(t) = 3 cos(1200nt) + Scos(1500ft) and the carrier frequency fc = 20 KHz 1. Find SSB/USB in time domain and 2. Sketch the Spectrum of SSB/USB (frequency domain) 3. Find the bandwidth of the SSB/USB Arial24191) TE STEMME
QUESTION 2 (20 MARKS) (a) A continuous time signal x(t) = 3e2tu(-t) is an input to a Linear Time Invariant system of which the impulse response h(t) is shown as h(t) = { .. 12, -osts-2 elsewhere Compute the output y(t) of the system above using convolution in time domain for all values of time t. [8 marks) (b) The impulse response h[n] of an LTI system is given as a[n] = 4(0.6)”u[n] Determine if the system is stable. [3...
A single tone message signal, m(t) = 2 cos(211 X 1000 t), (freq. is in Hz) is applied to an FM modulator with the following parameters: Amplitude of the Carrier = 10 (V), Carrier Frequency = 100 (kHz), Frequency sensitivity factor = kx = 103 (Hz/Volt). The modulated signal s(t) is passed through a bandpass filter centered at 102 (kHz) with a bandwidth of 3(kHz), and the output signal sf(t) is obtained. (a) Express the output of the filter, sf(t)...
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...
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency response: H(G What signal y(t) is observed at the output? Problem 2 The inverse Fourier transform of a system frequency response is given by h(t)t. The signal x(t) 3 cos(4t 0.5) is input to the system (t in seconds). (a) What is the expression of the signal y(t) at the system output? (b) What is the power attenuation in dB caused by the...
Consider a sampler which samples the continuous-time input signal x(t) at a sampling frequency fs = 8000 Hz and produces at its output a sampled discrete-time signal x$(t) = x(nTs), where To = 1/fs is the sampling period. If the sampled signal is passed through a unity-gain lowpass filter with cutoff frequency of fs/2, sketch the magnitude spectrum of the resulting signal for the following input signals: (a) x(t) = cos(6000nt). (b) x(t) = cos(12000nt). (c) x(t) = cos(18000nt).
(Please give all the solutions and steps, if you give the answer
by picture please post a clear picture. Please don't answer the
question if you can't do all the questions, THANKS).
0.1 22. The first zero-crossing bandwidth of the signal shown above is a)5Hz b) 10 Hz c) 15 Hz d) 20 Hz e) none above 23. The Hilbert transform of the Hilbert transform of x(t) is a) x(t)(t) b) -x(t) c)jx(t d)-jx(t) e) none above 24. A system...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this signal both in the time-domain and frequency domain. (b) For the following square wave v(t), determine if it is a periodic signal, and if yes, what 10 V sin 4. [61 are its amplitude, period T and fundamental frequency f? Why do we need to convert this signal into sine/cosine wave for transmission? 2 o-oims (c) () According to Fourier Theorem, the above signal...
Parts e through f only
3. Let the RF signal s(t)A cos(8,() where Here β-0.2 and A,-2.0V andfel 00MHz andf-2kHz and A,-10V a. Is the phase or frequency modulation? b. What is the modulation index? c. Find the frequency deviation d. Find the frequency sensitivity factor in Hz/V. e. Plot the amplitude spectrum of s(t). State any approximations f. What is the total power in s(t)? g. How much power is at f-100MHz? h. What is the RF bandwidth?
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