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1 Consider the chopper-sampled waveform in Eq. (3) with T/2, f 100 Hz, and x()- 2 2 cos 21T30t + cos 27T80t. Draw and label the one-sided line spectrum of x,(t) for 0 s f s 300 Hz. Then find the...
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...
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)...
A single tone message signal, m(t) = 2 cos(211 X 1000 t), (freq. is in Hz)...
A single tone message signal, m(t) = 2 cos(211 X 1000 t), (freq. is in Hz) is applied to an FM modulator with the following parameters: Amplitude of the Carrier = 10 (V), Carrier Frequency = 100 (kHz), Frequency sensitivity factor = kx = 103 (Hz/Volt). The modulated signal s(t) is passed through a bandpass filter centered at 102 (kHz) with a bandwidth of 3(kHz), and the output signal sf(t) is obtained. (a) Express the output of the filter, sf(t)...
Consider a speech signal x() that has the following frequency spectrum: xga) 1 + cos( -/100 a) Se...
Digital Signal Processing
DFT
Consider a speech signal x() that has the following frequency spectrum: xga) 1 + cos( -/100 a) Select appropriate values of N and T that will help us carry out DFT-based spectral analysis of this signal x401@) 800 such that the continuous-time frequencies are sampled no farther than 10 Hz apart. b) Ignore the issue of spectral leakage; under this assumption, provide a closed-form expression for the DFT of the signal using the values selected in...
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...
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).
(14%) 6. Consider an FM modulator with output )-100 cos(2(1000)r+(0) The modulator operates with fa = 8 and has the input message signal The modulator is followed by a bandpass filter with a...
(14%) 6. Consider an FM modulator with output )-100 cos(2(1000)r+(0) The modulator operates with fa = 8 and has the input message signal The modulator is followed by a bandpass filter with a a bandwidth of 56HZ, as shown in the following figure. Determine the power ratio and the power at the fiter oput center frequency of 1000HZ and Bandpass filter PM Output Center 1000 Hz Bandwidth 56 Hz mt-5 cos 2(8)r modulator -1000 Hz (a) FM system 39.1 39.1365...
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...
solve all questions simply by using matlab. write all step here please 1Normal 1 No Spac Heading1 Heading 2 DISCUSSION Solve all tasks given below: 1. Consider function f(x) 3.5-0.5x cos(6x) for...
solve all questions simply by using matlab.
write all step here please
1Normal 1 No Spac Heading1 Heading 2 DISCUSSION Solve all tasks given below: 1. Consider function f(x) 3.5-0.5x cos(6x) for the value of x between -2.0 until 4.0. Draw the plot in dash line and in red colour, Label the title and all axes. 2. Consider the following functions for 0sxS pi: x() 10e0.St sin(3t +2) y(t) 7e-04t cos(5t - 3) (a) Draw both graphs on the same...
A Digital Signal Processing system is taking at its input the following analogue signal s(t); s(t)...
A Digital Signal Processing system is taking at its input the following analogue signal s(t); s(t) - 20+ 20 cos(24xt)cos(xt), Where time t is expressed in ms. Part 1 - Setting the sampling frequency: (11 Marks) As a start, the system comprises only a sampler and an ideal analogue reconstructor as follows: w(t) s(t) Sampler Analogue Reconstructor s,(t) Figure a) Find the frequency spectrum S(t) of s(t) and deduce its bandwidth. You may directly use the table provided at the...
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...
A single tone message signal, m(t) = 2 cos(211 X 1000 t), (freq. is in Hz) is applied to an FM modulator with the following parameters: Amplitude of the Carrier = 10 (V), Carrier Frequency = 100 (kHz), Frequency sensitivity factor = kx = 103 (Hz/Volt). The modulated signal s(t) is passed through a bandpass filter centered at 102 (kHz) with a bandwidth of 3(kHz), and the output signal sf(t) is obtained. (a) Express the output of the filter, sf(t)...
Digital Signal Processing
DFT
Consider a speech signal x() that has the following frequency spectrum: xga) 1 + cos( -/100 a) Select appropriate values of N and T that will help us carry out DFT-based spectral analysis of this signal x401@) 800 such that the continuous-time frequencies are sampled no farther than 10 Hz apart. b) Ignore the issue of spectral leakage; under this assumption, provide a closed-form expression for the DFT of the signal using the values selected in...
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...
(14%) 6. Consider an FM modulator with output )-100 cos(2(1000)r+(0) The modulator operates with fa = 8 and has the input message signal The modulator is followed by a bandpass filter with a a bandwidth of 56HZ, as shown in the following figure. Determine the power ratio and the power at the fiter oput center frequency of 1000HZ and Bandpass filter PM Output Center 1000 Hz Bandwidth 56 Hz mt-5 cos 2(8)r modulator -1000 Hz (a) FM system 39.1 39.1365...
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...
solve all questions simply by using matlab.
write all step here please
1Normal 1 No Spac Heading1 Heading 2 DISCUSSION Solve all tasks given below: 1. Consider function f(x) 3.5-0.5x cos(6x) for the value of x between -2.0 until 4.0. Draw the plot in dash line and in red colour, Label the title and all axes. 2. Consider the following functions for 0sxS pi: x() 10e0.St sin(3t +2) y(t) 7e-04t cos(5t - 3) (a) Draw both graphs on the same...
A Digital Signal Processing system is taking at its input the following analogue signal s(t); s(t) - 20+ 20 cos(24xt)cos(xt), Where time t is expressed in ms. Part 1 - Setting the sampling frequency: (11 Marks) As a start, the system comprises only a sampler and an ideal analogue reconstructor as follows: w(t) s(t) Sampler Analogue Reconstructor s,(t) Figure a) Find the frequency spectrum S(t) of s(t) and deduce its bandwidth. You may directly use the table provided at the...
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