2.4-2 For the signals g(t) and x(t) shown in Fig. P2.4-2, find the component of the...
Q. 2 A continuous time signal x(t) has the Continuous Time Fourier Transform shown in Fig 2. Xc() -80007 0 80001 2 (rad/s) Fig 2 According to the sampling theorem, find the maximum allowable sampling period T for this signal. Also plot the Fourier Transforms of the sampled signal X:(j) and X(elo). Label the resulting signals appropriately (both in frequency and amplitude axis). Assuming that the sampling period is increased 1.2 times, what is the new sampling frequency 2? What...
Q1) For the periodic signals x() and ) shown below: x(t) YCO y(t) a) Find the exponential Fourier series for x(t) and y). b) Sketch the amplitude and phase spectra for signal x(). c) Use Parseval's theorem to approximate the power of the periodic signal x() by calculating the power of the first N harmonics, such that the strength of the Nth harmonic is 10% or more of the power of the DC component.
Q1) For the periodic signals x()...
5. Find a solution u(x, t) of the following problem utt 0 u(0, t) — и(2, t) — 0 2 sin 3T и(а, 0) — 0, и (х, 0) — sin Tz _
For each of the periodic signals in Fig. P3.4-3, find the exponential Fourier series and sketch the corresponding spectra. 3.5-1 4 Fig. P3.4-3 /2 1 x(t) 1/ 2 0l -2π -π 2π Fig. P3.4-4 II x(t) -2π 0l t/2
For each of the periodic signals in Fig. P3.4-3, find the exponential Fourier series and sketch the corresponding spectra. 3.5-1
4 Fig. P3.4-3 /2 1 x(t) 1/ 2 0l -2π -π 2π Fig. P3.4-4 II x(t) -2π 0l t/2
Find the convolution of the following two signals: X(t) ylt). Plot the resulting signal. 1. 0 x (t) y (t)
Fig.1 (a) shows a staircase like signal x(t) and Fig.1 (b) shows the rectangular pulse g(t) Express x(t) in terms of g(t). xit) 4 2 g(t) -1 0 1 Fig.1
(15 pts) Given the 5-point signal space diagram shown below, can you find an alter- native 2-dimensional signal set with the same number of signals, lower average energy and a lower probability of symbol error at high SNR? Assume signals are equally likely. Draw and label your signals very neatly. Justify your answer 3 3 -21 -1 -2 -3
(15 pts) Given the 5-point signal space diagram shown below, can you find an alter- native 2-dimensional signal set with the...
this is Q1 please solve Q2
2. Consider the same signal x(t) shown above in question 1 (a) write down the equation of the signal y(t) in terms x(t) in Fig. I and Fig.2 (b) Specify the operation(s) performed on X(t) to obtain each of signals of Fig.1 and Fig2 0.5 1 (Fig. 1) (Fig.2) 1 -2 -1 0 +1 +2 X(t) Questions Set # 3 CT signals combined time and amplitude Operations 1. Consider the signal x(1) (a) Sketch...
4. Given the following signals, a) (6 pts). Find the signal energy in the voltage x(t) = 10rect b) (6 pts). Find the average signal power in the following periodic voltage, x(t). Express your answer in dBV 4AAK x(t) 9 10 11 12 Given the following amplifier 22 kn 56 kn o ww x(t) c) (6 pts). What is the loss in decibels? d) (7 pts). If the input to the amplifier is 3cos(2T300t+25°) V, what is the output in...
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...