![A 3.0 sec. seg nent of {xa(t)},% = cos(0.2nt) is sampled at a rate of 1/T = 30 Hz. The resulting 90 samples are zero padded to 128 and the DFT Xks computed. Determine ko such that X koll X[k]| for k - 0,1, .. ,63](http://img.homeworklib.com/questions/2d9e0b10-9a26-11eb-a638-8da0a5d8f184.png?x-oss-process=image/resize,w_560)
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A 3.0 sec. seg nent of {xa(t)},% = cos(0.2nt) is sampled at a rate of 1/T...
Consider an analog signal x(t) = 2 cos(2π600t). The signal is sampled at a rate 3000 samples per ...
Consider an analog signal x(t) = 2 cos(2π600t). The signal is sampled at a rate 3000 samples per second and 20 samples are saved to memory. Sketch the magnitude of the length 20 DFT of the sampled data. For credit, clearly label axes, and exactly sketch the magnitudes (if you connect points in a line drawing, rather than a “stem” plot, then clearly mark the points themselves).
4) a. A signal g(t) = 20 cos 50nt.cos 220nt is sampled by a pulse train...
4) a. A signal g(t) = 20 cos 50nt.cos 220nt is sampled by a pulse train of frequency 250Hz. i. Calculate the Nyquist rate for the signal g(t). (4 Marks) ii. Sketch the spectrum of the resulting sampled signal. (5 Marks) iii. Specify the minimum cutoff frequency of the ideal reconstruction filter so as to recover g(t) from its sampled signal. (3 Mark) b. A signal in the frequency range 350 to 3500Hz is limited to peak to peak swing...
need problem 6.13 done. 12. The analog signal xa (t) = cos (100mt) + cos (120πt) led using natural sampling as shown in Fig. 6.18. The sampling rate used is f, -4 width of each pulse is τ = 0.5 ms...
need problem 6.13 done.
12. The analog signal xa (t) = cos (100mt) + cos (120πt) led using natural sampling as shown in Fig. 6.18. The sampling rate used is f, -4 width of each pulse is τ = 0.5 ms. Write an analytical expression for the Fourier transform Xa (w) and sketch it. Find an analytical expression for X, () the Fourier transform of the naturally- sampled signal T, (t). a. c. Sketch the transform X, (w). 613. Repeat...
3. (50 points] Consider the signal (t= cos(27 (100)+]: 1) Let's take samples of x(t) at...
3. (50 points] Consider the signal (t= cos(27 (100)+]: 1) Let's take samples of x(t) at a sampling rate fs = 180 Hz. Sketch the spectrum X (f) of the sampled signal x (t). Properly label x-axis and y-axis. 2) Now suppose we will use an ideal lowpass filter of gain 1/fs with a cutoff frequency 90 Hz for the sampled signal xs(t). What is the output of the filter x,(t)? 3) Now let's take samples of x(t) at sampling...
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.
Question 1: (Sampling and Aliasing Effeet) (25 Marks) The given analog signal x(t)--sin(16xt)+ sin(11xt)+ sin (5nt), where t is in milliseconds, is sampled at a rate of 12kHz. The resulting sampl...
Question 1: (Sampling and Aliasing Effeet) (25 Marks) The given analog signal x(t)--sin(16xt)+ sin(11xt)+ sin (5nt), where t is in milliseconds, is sampled at a rate of 12kHz. The resulting samples are immediately reconstructed by an ideal reconstructor. a. Find and sketch the spectrum of x(t) versus Ω. b. Find and sketch the spectrum of the sampled signal versus o. c. Determine the analog signal x (t) at the output of the reconstructor. d. Prove the x(0) and x(t) having...
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...
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...
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(...
just looking for #2, 3, and 4
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(t) = 2 cos(2m50t) + 4cos(2m100t) a. (10 points) Determine S(f) and plot it b. (20 points) Let the sampling rate to be: fs 300 samples/sec. Plot the spectrum of the Ideal sample, that is plot S8(f) c. Let the sampling rate to be: fs 175 samples/sec. i. (30 points) Plot S8(f) ii. (10 points) Let...
rate 1. True or False? Explain: a. If a car's speedometer is constant, then the car...
rate 1. True or False? Explain: a. If a car's speedometer is constant, then the car cannot be accelerating. b. Ifan =0 for a moving object, then the object cannot be accelerating. c. The arc length of a space curve depends on the parameterization. d. The curvature of a circle is the same as its radius. e. The normal component of acceleration is a function of both speed and curvature. 2. Projectile Motion: A projectile is launched with an initial...
QUESTION 1 Characterise the following systems as being either causal on anticausal: yn)-ePyn-1)+u...
QUESTION 1 Characterise the following systems as being either causal on anticausal: yn)-ePyn-1)+u/n), where u/h) is the unit step and B is an arbitrary constant (B>0), Take y-1)-0. Answer with either causal or 'anticausal only QUESTION 2 For the following system: yn) -yn-1Va -x(n), for a 0.9, find y(10), assuming y(n) - o, for ns -1.Hint: find a closed form for yin) and use it to find the required output sample. (xin)-1 for n>-0) QUESTION 3 A filter has the...
4) a. A signal g(t) = 20 cos 50nt.cos 220nt is sampled by a pulse train of frequency 250Hz. i. Calculate the Nyquist rate for the signal g(t). (4 Marks) ii. Sketch the spectrum of the resulting sampled signal. (5 Marks) iii. Specify the minimum cutoff frequency of the ideal reconstruction filter so as to recover g(t) from its sampled signal. (3 Mark) b. A signal in the frequency range 350 to 3500Hz is limited to peak to peak swing...
need problem 6.13 done.
12. The analog signal xa (t) = cos (100mt) + cos (120πt) led using natural sampling as shown in Fig. 6.18. The sampling rate used is f, -4 width of each pulse is τ = 0.5 ms. Write an analytical expression for the Fourier transform Xa (w) and sketch it. Find an analytical expression for X, () the Fourier transform of the naturally- sampled signal T, (t). a. c. Sketch the transform X, (w). 613. Repeat...
3. (50 points] Consider the signal (t= cos(27 (100)+]: 1) Let's take samples of x(t) at a sampling rate fs = 180 Hz. Sketch the spectrum X (f) of the sampled signal x (t). Properly label x-axis and y-axis. 2) Now suppose we will use an ideal lowpass filter of gain 1/fs with a cutoff frequency 90 Hz for the sampled signal xs(t). What is the output of the filter x,(t)? 3) Now let's take samples of x(t) at sampling...
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.
Question 1: (Sampling and Aliasing Effeet) (25 Marks) The given analog signal x(t)--sin(16xt)+ sin(11xt)+ sin (5nt), where t is in milliseconds, is sampled at a rate of 12kHz. The resulting samples are immediately reconstructed by an ideal reconstructor. a. Find and sketch the spectrum of x(t) versus Ω. b. Find and sketch the spectrum of the sampled signal versus o. c. Determine the analog signal x (t) at the output of the reconstructor. d. Prove the x(0) and x(t) having...
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...
just looking for #2, 3, and 4
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(t) = 2 cos(2m50t) + 4cos(2m100t) a. (10 points) Determine S(f) and plot it b. (20 points) Let the sampling rate to be: fs 300 samples/sec. Plot the spectrum of the Ideal sample, that is plot S8(f) c. Let the sampling rate to be: fs 175 samples/sec. i. (30 points) Plot S8(f) ii. (10 points) Let...
rate 1. True or False? Explain: a. If a car's speedometer is constant, then the car cannot be accelerating. b. Ifan =0 for a moving object, then the object cannot be accelerating. c. The arc length of a space curve depends on the parameterization. d. The curvature of a circle is the same as its radius. e. The normal component of acceleration is a function of both speed and curvature. 2. Projectile Motion: A projectile is launched with an initial...
QUESTION 1 Characterise the following systems as being either causal on anticausal: yn)-ePyn-1)+u/n), where u/h) is the unit step and B is an arbitrary constant (B>0), Take y-1)-0. Answer with either causal or 'anticausal only QUESTION 2 For the following system: yn) -yn-1Va -x(n), for a 0.9, find y(10), assuming y(n) - o, for ns -1.Hint: find a closed form for yin) and use it to find the required output sample. (xin)-1 for n>-0) QUESTION 3 A filter has the...
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