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Fig.1 (a) shows a staircase like signal x(t) and Fig.1 (b) shows the rectangular pulse g(t)...
[CLU: Let g(t) be the rectangular pulse shown in Fig. Q3. The random process X(t) is...
[CLU: Let g(t) be the rectangular pulse shown in Fig. Q3. The random process X(t) is defined as X(t)=Ag(t), where A assumes the values +1 with equal probability. Figure Q3 (a) Find the pmf of X(t). (b) Find uxo). (c) Find the joint pmf of X(t) and X(t+d). (d) Find Cx{1.1+d), d > 0.
For the given rectangular pulse signal shown in figure below, 1 x(1) 1, T 0, T,...
For the given rectangular pulse signal shown in figure below, 1 x(1) 1, T 0, T, x) T T1 Find the Fourier transform of the signal and sketch it
7 (10pt) Signal s(t) is created by multiplying a rectangular pulse with a sinusoidal signal: s(t) A cos(2mfet) rect where rect(t) is a rectangular pulse with width 1 and amplitude 1 which occupies -0...
7 (10pt) Signal s(t) is created by multiplying a rectangular pulse with a sinusoidal signal: s(t) A cos(2mfet) rect where rect(t) is a rectangular pulse with width 1 and amplitude 1 which occupies -0.5 to 0.5 in time domain. Please find out s(t)'s null-to-null bandwidth.
7 (10pt) Signal s(t) is created by multiplying a rectangular pulse with a sinusoidal signal: s(t) A cos(2mfet) rect where rect(t) is a rectangular pulse with width 1 and amplitude 1 which occupies -0.5 to...
Question 2 Consider the natural sampling applied to a signal, x(t) = sinc"5 The signal is sampled (multiplied) by a periodic (rectangular) pulse train which is shown in Figure (b). Assume the...
Question 2 Consider the natural sampling applied to a signal, x(t) = sinc"5 The signal is sampled (multiplied) by a periodic (rectangular) pulse train which is shown in Figure (b). Assume the period, To-0.05s. πt as shown in Figure (a) Pr(t) x(t) XFO 057 Pt(t) 1 mark (a) Determine and sketch the spectrum of the signal x(t). Determine the bandwidth of x(t), B. 1 mark(b) Sketch the sampled signal, E(t) 2 marks () Derive and sketch the spectrum of the...
Data are sent over a channel using 8-QAM with the signal constellation shown below. The pulses are rectangular, and a new pulse is generated every T seconds. 2.A Re -2A 2.A -2.4 How many bits of info...
Data are sent over a channel using 8-QAM with the signal constellation shown below. The pulses are rectangular, and a new pulse is generated every T seconds. 2.A Re -2A 2.A -2.4 How many bits of information are conveyed on each pulse transmission? a) b) Find the average power in the transmitted signal g(t) in terms of A
Data are sent over a channel using 8-QAM with the signal constellation shown below. The pulses are rectangular, and a new pulse...
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0) 6. Signal x()- exp(-t) u() and signal ho) is as sh...
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0)
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0)
PROBLEM 12 The message signal m(t) is a rectangular pulse of unit amplitude and duration T...
PROBLEM 12 The message signal m(t) is a rectangular pulse of unit amplitude and duration T (centered about the origin). The radio-frequency (RF) pulse defined by s(t) = {4_cos(wt), -āsts 1 0. Otherwise a) Drive a formula for the spectrum of s(t) and v(t) assuming that WT. >> 211 b) Sketch the magnitude spectrum of s(t) for w.T. = 20 The below figure describing the modulation and the demodulation of the m(t) signal. VO mo Product modulator Product modulator Low-pass...
2.3-3 For the signal g(t) shown in Fig. P2.3-3, sketch (a) g(t - 4); (b) 8...
2.3-3 For the signal g(t) shown in Fig. P2.3-3, sketch (a) g(t - 4); (b) 8 (3): (c) g(21-4): (d) (2-1). Hint Recall that replacing t with 1-T delays the signal by T. Thus, g (2 - 4) is 8(21) with replaced by : - 2. Similarly, 8 (2-1) is g(-1) with / replaced by:- 2. Figure P.2.3-3
By first expressing the triangular signal x(t) in Figure P9.8 as the convolution of a rectangular...
By first expressing the triangular signal x(t) in Figure P9.8 as the convolution of a rectangular pulse with itself, determine the Fourier transform of x(t) x(t) -2 Figure P9.8
6.3.6 Figure P6.3-6 shows the trigonometric Fourier spectra of a periodic signal x(t) a. By inspe...
6.3.6 Figure P6.3-6 shows the trigonometric Fourier spectra of a periodic signal x(t) a. By inspection of Fig. P6.3-6, find the trigonometric Fourier series representing x(t) D. By spectien of Eig P636 ketcir tne exponential Eourier spectra of x(t). Egunar specta obtained in part b find the expone Het Ferrer sense。「 X(t) 0, 1 2 3 4 Cn Figure P6.3-8
6.3.6 Figure P6.3-6 shows the trigonometric Fourier spectra of a periodic signal x(t) a. By inspection of Fig. P6.3-6, find...
[CLU: Let g(t) be the rectangular pulse shown in Fig. Q3. The random process X(t) is defined as X(t)=Ag(t), where A assumes the values +1 with equal probability. Figure Q3 (a) Find the pmf of X(t). (b) Find uxo). (c) Find the joint pmf of X(t) and X(t+d). (d) Find Cx{1.1+d), d > 0.
For the given rectangular pulse signal shown in figure below, 1 x(1) 1, T 0, T, x) T T1 Find the Fourier transform of the signal and sketch it
7 (10pt) Signal s(t) is created by multiplying a rectangular pulse with a sinusoidal signal: s(t) A cos(2mfet) rect where rect(t) is a rectangular pulse with width 1 and amplitude 1 which occupies -0.5 to 0.5 in time domain. Please find out s(t)'s null-to-null bandwidth.
7 (10pt) Signal s(t) is created by multiplying a rectangular pulse with a sinusoidal signal: s(t) A cos(2mfet) rect where rect(t) is a rectangular pulse with width 1 and amplitude 1 which occupies -0.5 to...
Question 2 Consider the natural sampling applied to a signal, x(t) = sinc"5 The signal is sampled (multiplied) by a periodic (rectangular) pulse train which is shown in Figure (b). Assume the period, To-0.05s. πt as shown in Figure (a) Pr(t) x(t) XFO 057 Pt(t) 1 mark (a) Determine and sketch the spectrum of the signal x(t). Determine the bandwidth of x(t), B. 1 mark(b) Sketch the sampled signal, E(t) 2 marks () Derive and sketch the spectrum of the...
Data are sent over a channel using 8-QAM with the signal constellation shown below. The pulses are rectangular, and a new pulse is generated every T seconds. 2.A Re -2A 2.A -2.4 How many bits of information are conveyed on each pulse transmission? a) b) Find the average power in the transmitted signal g(t) in terms of A
Data are sent over a channel using 8-QAM with the signal constellation shown below. The pulses are rectangular, and a new pulse...
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0)
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0)
PROBLEM 12 The message signal m(t) is a rectangular pulse of unit amplitude and duration T (centered about the origin). The radio-frequency (RF) pulse defined by s(t) = {4_cos(wt), -āsts 1 0. Otherwise a) Drive a formula for the spectrum of s(t) and v(t) assuming that WT. >> 211 b) Sketch the magnitude spectrum of s(t) for w.T. = 20 The below figure describing the modulation and the demodulation of the m(t) signal. VO mo Product modulator Product modulator Low-pass...
2.3-3 For the signal g(t) shown in Fig. P2.3-3, sketch (a) g(t - 4); (b) 8 (3): (c) g(21-4): (d) (2-1). Hint Recall that replacing t with 1-T delays the signal by T. Thus, g (2 - 4) is 8(21) with replaced by : - 2. Similarly, 8 (2-1) is g(-1) with / replaced by:- 2. Figure P.2.3-3
By first expressing the triangular signal x(t) in Figure P9.8 as the convolution of a rectangular pulse with itself, determine the Fourier transform of x(t) x(t) -2 Figure P9.8
6.3.6 Figure P6.3-6 shows the trigonometric Fourier spectra of a periodic signal x(t) a. By inspection of Fig. P6.3-6, find the trigonometric Fourier series representing x(t) D. By spectien of Eig P636 ketcir tne exponential Eourier spectra of x(t). Egunar specta obtained in part b find the expone Het Ferrer sense。「 X(t) 0, 1 2 3 4 Cn Figure P6.3-8
6.3.6 Figure P6.3-6 shows the trigonometric Fourier spectra of a periodic signal x(t) a. By inspection of Fig. P6.3-6, find...
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