T&c=1 kHz I Consider the following block diagram: * C/ D x[m] supuse Xia)= s What...
1. An analog signal \(\mathrm{x}(\mathrm{t})\) contains frequencies from 0 up to \(10 \mathrm{kHz}\). You can assume any arbitrary spectrum for this signal. (Note that this signals also has frequencies from 0 to \(-10 \mathrm{KHz} .)\) a) Draw the frequency spectrum of the signal after it has been sampled with a sampling frequency \(\mathrm{F}_{\mathrm{s}}=25 \mathrm{kHz}\) b) What range of sampling frequencies allows exact reconstruction of this signal from its samples? c) How is the original signal reconstructed from the sampled signal?...
Consider the continuous time signal: 2. , π (sin (2t) (Sin (8t) A discrete time signal x[n] -xs(t) -x(nTs) is created by sampling x() with sampling interval, 2it 60 a) Plot the Fourier Transform of the sampled signal, i.e. Xs (jo). b) Plot the DTFT of the sampled signal, ie, X(eja) o) Repeat (a) with 7, 2π d) Repeat (b) with , 18 Consider the continuous time signal: 2. , π (sin (2t) (Sin (8t) A discrete time signal x[n]...
#2 The following figure shows the block diagram of an AM modulator. Nonlinear s(t) devicefilter The nonlinear device has an input-output characteristic of the form y0)-a x(0)+bx() where a and b are constants. Assume that the message signal is m)-A, cos(2rf.1) and (a) Determine the signal y). (b) Determine the AM signal s() (c) What kind of the filter is required in the above figure? (d) What is the amplitude sensitivity of this AM signal.
(1) Consider the following continuous-time signal: (1) 2ua(-t+t)ua(t), where its energy is 20 milli Joules (2 x 103Joules). The signal ra(t) is sampled at a rate of 500 samples/sec to yield its discrete-time counter part (n) (a) Find ti, and hence sketch ra(t). (b) From part (a), plot r(n) and finds its energy (c) Derive an expression for the Fourier transform of a(n), namely X(ew). (d) Plot the magnitude spectrum (1X(e)) and phase spectrum 2(X(e). (e) Consider the signal y(n)...
The input r(t) to a DSBSC receiver is a DSB signal s(t) = A m(t)cos (21fet) corrupted by additive white Gaussian noise with two-sided power spectral density N,/2, where No = 10-12 W/Hz, m(t) is a message signal bandlimited to 10 kHz. Average power of m(t) is Pm = 4 W and Ac = 2 mV. The block diagram of the receiver is shown below. Note that the receiver has filters which have slightly larger bandwidths than a typical DSB...
Signal xo(t) 5 cos (200π1+ 품 ) + 4 sin (300π) is sampled at a rate of Fs = 1 kHz to obtain the discrete-time signal x[n]. (a) Determine the spectrum X(ej ) of x[n] and plot its magnitude as a function of ω rad sam in tad and as a function of F in Hz. Explain whether the original signal xe(t) can be recovered from xln]. (b) Repeat part (a) for 500 Hz. (c) Repeat part (a) for 100...
#2 The following figure shows the block diagram of an AM modulator. mx m()+c) Nonlinear ) y(0) s(0) filter device c)A, cos(2r 1,0) The nonlinear device has an input-output characteristic of the form y() a x(0)+b ) where a and b are constants. Assume that the message signal is m()-A, cos(2, and (a) Determine the signal y). (b) Determine the AM signal s). (c) What kind of the filter is required in the above figure? (d) What is the amplitude...
A signal x(t) given by: x(t) = 5cos(200mt-t/3) It is sampled at a frequency of 1000 samples/s. a. Write the discrete-time signal x[n] b. Is this signal over or under sampled? Can this signal be reconstructed? c. Write expressions for all possible aliases d. Find the first 5 aliases (all types) and write the corresponding discrete- time signals x[n]
Figure 2.4 shows a block diagram that consists of Device A with a transfer function of Vo1(t) = 1 + vi(t)2 and a Band Pass Filter that has a cutoff frequency of 6 kHz and 12 kHz. The input signal to the device is a 8 V sinusoidal signal Amplitude 8V Vot(t) Band Pass Device A Vo2(t) Time Vo1(t) 1vi(t) Filter 0.2ms Input signal, vi(t) Fiqure 2.4 State the expression of the input signal, vi(t) given that the signal is...
Simplify the following block diagram. Obtain the transfer function from R to C for Fig. 1, and the transfer function from X(s) to Y(s) for Fig. 2.Convert the block diagram of figures 1 and 2 to a signal flow graph.Below are the diagrams: