![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)](http://img.homeworklib.com/images/9b1fba0a-e6a4-40a5-9962-4f7dbd459061.png?x-oss-process=image/resize,w_560)
(b) Repeat part (a) for 500 Hz. (c) Repeat part (a) for 100 Hz. (d) Comment on your results.
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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 functi...
The signal x(t) 10 cos(2t (3300) t +0.2x)) is sampled at fs 8 kHz (a) Determine...
The signal x(t) 10 cos(2t (3300) t +0.2x)) is sampled at fs 8 kHz (a) Determine the sampled signal x[n]. (b) What would be the lowest possible sampling frequency for reconstructing x(0)? 4.
3. Signal xe)8+12e07eo+)is sampled periodically with the rate j20T (-1) F Hz to obtain the discre...
3. Signal xe)8+12e07eo+)is sampled periodically with the rate j20T (-1) F Hz to obtain the discrete-time signal x[n]. For each of the following sampling rates in Hz, determine the spectrum X(etF/F of xn and plot its magnitude and phase as a function of F in Hz. Explain whether xe(f) can be recovered fromx[n]. (a) F-50, (b) F-20, (c) F 10.
3. Signal xe)8+12e07eo+)is sampled periodically with the rate j20T (-1) F Hz to obtain the discrete-time signal x[n]. For each...
Q1) Given an analog signal X(t) = 3 cos (2π . 2000t) + 2 cos (2π...
Q1) Given an analog signal X(t) = 3 cos (2π . 2000t) + 2 cos (2π . 5500t) sampled at a rate of 10,000 Hz, a. Sketch the spectrum of the sampled signal up to 20 kHz; b. Sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 4 kHz is used to filter the sampled signal in order to recover the original signal ; c. Determine the frequency/frequencies of aliasing noise . Q2)...
Q2.) Consider the sampling of the continuous-time signal x(t) to obtain a discrete-time signal x[...
Q2.) Consider the sampling of the continuous-time signal x(t) to obtain a discrete-time signal x[n (1)-10cos(1000m + π/3) + 20cos(2000m + π/6). 110points! ], where x a) What is the maximum sampling interval (minimum sampling frequency) that could be used to ensure an aliasing free sampling of this signal? b) Plot the spectrum of the sampled signal if x() is sampled using a sampling frequency of (i) 2500 Hz (ii) 1800 Hz and state whether there will be an aliasing...
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).
(5%) The following signals r t) is sanpled periodically to obtained the discrete-time signal [n. ...
Please explain why. Thank you.
(5%) The following signals r t) is sanpled periodically to obtained the discrete-time signal [n. For each of the given sampling rates in F, Hz or in T period, (i) determine the spectrum x(eM) of x[n]; (ii) plot its magnitude and phase as a function of w in and as a function of sampling frequency Fs in HZ; and (iii explain whether e(t) can be recovered from rn] (a) re(t) 8 +12e-3207e-j0(+), with sampling rate...
10ρ 18ρ A signal (t) has the Fourier transform X(jw) indicated in the figure. The signal is sampled to obtain the discrete time signal 1. Sketch the Fourier transform Xr(jw) of x[n] for T-to. 2. Can...
10ρ 18ρ A signal (t) has the Fourier transform X(jw) indicated in the figure. The signal is sampled to obtain the discrete time signal 1. Sketch the Fourier transform Xr(jw) of x[n] for T-to. 2. Can x(t) be recovered for T? How? What is the maximum value of T so that r(t) can be recovered?
10ρ 18ρ A signal (t) has the Fourier transform X(jw) indicated in the figure. The signal is sampled to obtain the discrete time signal 1....
10. Find the Fourier transform of a continuous-time signal x(t) = 10e Su(t). Plot the magnitude...
10. Find the Fourier transform of a continuous-time signal x(t) = 10e Su(t). Plot the magnitude spectrum and the phase spectrum. If the signal is going to be sampled, what should be the minimum sampling frequency so that the aliasing error is less than 0.1 % of the maximum original magnitude at half the sampling frequency. 11. A signal x(t) = 5cos(2nt + 1/6) is sampled at every 0.2 seconds. Find the sequence obtained over the interval 0 st 3...
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 t...
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]...
21. The signal x(t) = cos(1,8001t – 1/6) is sampled uniformly at the rate of 1...
21. The signal x(t) = cos(1,8001t – 1/6) is sampled uniformly at the rate of 1 kHz and passed through an ideal low-pass filter with a DC gain of 0.001 and a cutoff frequency of 500 Hz. Find the filter's output.
The signal x(t) 10 cos(2t (3300) t +0.2x)) is sampled at fs 8 kHz (a) Determine the sampled signal x[n]. (b) What would be the lowest possible sampling frequency for reconstructing x(0)? 4.
3. Signal xe)8+12e07eo+)is sampled periodically with the rate j20T (-1) F Hz to obtain the discrete-time signal x[n]. For each of the following sampling rates in Hz, determine the spectrum X(etF/F of xn and plot its magnitude and phase as a function of F in Hz. Explain whether xe(f) can be recovered fromx[n]. (a) F-50, (b) F-20, (c) F 10.
3. Signal xe)8+12e07eo+)is sampled periodically with the rate j20T (-1) F Hz to obtain the discrete-time signal x[n]. For each...
Q2.) Consider the sampling of the continuous-time signal x(t) to obtain a discrete-time signal x[n (1)-10cos(1000m + π/3) + 20cos(2000m + π/6). 110points! ], where x a) What is the maximum sampling interval (minimum sampling frequency) that could be used to ensure an aliasing free sampling of this signal? b) Plot the spectrum of the sampled signal if x() is sampled using a sampling frequency of (i) 2500 Hz (ii) 1800 Hz and state whether there will be an aliasing...
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 explain why. Thank you.
(5%) The following signals r t) is sanpled periodically to obtained the discrete-time signal [n. For each of the given sampling rates in F, Hz or in T period, (i) determine the spectrum x(eM) of x[n]; (ii) plot its magnitude and phase as a function of w in and as a function of sampling frequency Fs in HZ; and (iii explain whether e(t) can be recovered from rn] (a) re(t) 8 +12e-3207e-j0(+), with sampling rate...
10ρ 18ρ A signal (t) has the Fourier transform X(jw) indicated in the figure. The signal is sampled to obtain the discrete time signal 1. Sketch the Fourier transform Xr(jw) of x[n] for T-to. 2. Can x(t) be recovered for T? How? What is the maximum value of T so that r(t) can be recovered?
10ρ 18ρ A signal (t) has the Fourier transform X(jw) indicated in the figure. The signal is sampled to obtain the discrete time signal 1....
10. Find the Fourier transform of a continuous-time signal x(t) = 10e Su(t). Plot the magnitude spectrum and the phase spectrum. If the signal is going to be sampled, what should be the minimum sampling frequency so that the aliasing error is less than 0.1 % of the maximum original magnitude at half the sampling frequency. 11. A signal x(t) = 5cos(2nt + 1/6) is sampled at every 0.2 seconds. Find the sequence obtained over the interval 0 st 3...
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]...
21. The signal x(t) = cos(1,8001t – 1/6) is sampled uniformly at the rate of 1 kHz and passed through an ideal low-pass filter with a DC gain of 0.001 and a cutoff frequency of 500 Hz. Find the filter's output.
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