If the input signal is a pure sinusoidal signal at a frequency exactly equal to half...
If the input signal is a pure sinusoidal signal at a frequency exactly equal to half the sampling rate, there is still a condition under which that signal can be recovered. What is it?
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If the input signal is a pure sinusoidal signal at a frequency
exactly equal to half...
What are the potential problems of sampling the input signal at a sampling rate of exactly...
What are the potential problems of sampling the input signal at a sampling rate of exactly equal to the Nyquist rate?
) What is data acquisition? Explain what it involves. ) A sinusoidal signal s(t) 5+10 cos...
) What is data acquisition? Explain what it involves. ) A sinusoidal signal s(t) 5+10 cos 120mt cos 120nt (v) is used in the design of a data acquisition system. The system is to transmit a 4-bit digital signal at a certain bit-rate to a remote terminal. Calculate the following for the system: (6) What is the minimum sampling-rate (sampling frequency) for the system at which the signal can be perfectly reconstructed? (ii) What is a suitable quantization step-size for...
4. The MOSFET amplifier below must amplity s sinusoidal input signal, wh minimal distortion. a) Determine the small...
4. The MOSFET amplifier below must amplity s sinusoidal input signal, wh minimal distortion. a) Determine the smallest value for Vas-Vi for minimal distortion under the small-signal condition for the given v Tos Tas b) Determine the minimum voltage VaD across the drain resistor for a voltage gain of 10. c) Determine the smallest value for Vos that would be required in order to amplify vg with minimal distortion. What should be the minimum required voltage for the power supply...
A sinusoidal signal is determined by its frequency, amplitude and phase. Can you retrieve all this...
A sinusoidal signal is determined by its frequency, amplitude and phase. Can you retrieve all this information from the sampled signal?
4. A sinusoidal signal was used as the input to the inverting amplifier below. The op...
4. A sinusoidal signal was used as the input to the inverting amplifier below. The op amp is ideal except for its open-loop gain. It has an open loop de gain (Ao) of 100dB and a unity-gain bandwidth (f) of 100 MHz. a) Find the transfer function, H(o), including the non-ideal open loop gain, A. b) Find the 3-dB frequency for the op amp, and sketch the |Al vs. frequency graph. Label the open loop de gain, 3-dB frequency, and...
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).
You are given an analog-to-digital converter (ADC) which is used to convert an input analog signal...
You are given an analog-to-digital converter (ADC) which is used to convert an input analog signal to a digital signal. The highest frequency present in the input analog signal is 20 Hz. The ADC samples the input analog signal at 1.25 times the minimum required sampling rate. (Note; this ADC “over-samples” the analog input signal; the sampling rate of this ADC is higher than the minimum required sampling rate. The ADC samples at 1.25 times the minimum required sampling rate)....
A sinusoidal signal of amplitude 1 V and frequency of 1 MHz is measured by means...
A sinusoidal signal of amplitude 1 V and frequency of 1 MHz is measured by means of a direct measurement frequency meter that uses a measurement time Tg = 0.1 s. What is the quantization uncertainty?
Problem 6 10 Points Your system samples a sinusoidal signal (t) cos(2T800t) with f 600 samples...
Problem 6 10 Points Your system samples a sinusoidal signal (t) cos(2T800t) with f 600 samples per second. After sampling, the reconstructed signal appears as a sinusoid at what frequency in Hertz?
1. The above two plots show a sinusoidal signal and its spectral content respectively. What is...
1. The above two plots show a sinusoidal signal and its spectral
content respectively. What is the frequency of the sine wave (and
in what units)?
2. What is the largest sampling period (in seconds) that could
be used without aliasing for the signal provided. Explain how you
obtained the answer.
Signal: y-sin(2rft) 0.8 0.6 0.4 ? 0.2 0.2 0.6 0.8 t - [seconds] 25 Spectral Density: IY(fl 20 15 10 Frequency -1?]
) What is data acquisition? Explain what it involves. ) A sinusoidal signal s(t) 5+10 cos 120mt cos 120nt (v) is used in the design of a data acquisition system. The system is to transmit a 4-bit digital signal at a certain bit-rate to a remote terminal. Calculate the following for the system: (6) What is the minimum sampling-rate (sampling frequency) for the system at which the signal can be perfectly reconstructed? (ii) What is a suitable quantization step-size for...
4. The MOSFET amplifier below must amplity s sinusoidal input signal, wh minimal distortion. a) Determine the smallest value for Vas-Vi for minimal distortion under the small-signal condition for the given v Tos Tas b) Determine the minimum voltage VaD across the drain resistor for a voltage gain of 10. c) Determine the smallest value for Vos that would be required in order to amplify vg with minimal distortion. What should be the minimum required voltage for the power supply...
4. A sinusoidal signal was used as the input to the inverting amplifier below. The op amp is ideal except for its open-loop gain. It has an open loop de gain (Ao) of 100dB and a unity-gain bandwidth (f) of 100 MHz. a) Find the transfer function, H(o), including the non-ideal open loop gain, A. b) Find the 3-dB frequency for the op amp, and sketch the |Al vs. frequency graph. Label the open loop de gain, 3-dB frequency, and...
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).
You are given an analog-to-digital converter (ADC) which is used to convert an input analog signal to a digital signal. The highest frequency present in the input analog signal is 20 Hz. The ADC samples the input analog signal at 1.25 times the minimum required sampling rate. (Note; this ADC “over-samples” the analog input signal; the sampling rate of this ADC is higher than the minimum required sampling rate. The ADC samples at 1.25 times the minimum required sampling rate)....
Problem 6 10 Points Your system samples a sinusoidal signal (t) cos(2T800t) with f 600 samples per second. After sampling, the reconstructed signal appears as a sinusoid at what frequency in Hertz?
1. The above two plots show a sinusoidal signal and its spectral
content respectively. What is the frequency of the sine wave (and
in what units)?
2. What is the largest sampling period (in seconds) that could
be used without aliasing for the signal provided. Explain how you
obtained the answer.
Signal: y-sin(2rft) 0.8 0.6 0.4 ? 0.2 0.2 0.6 0.8 t - [seconds] 25 Spectral Density: IY(fl 20 15 10 Frequency -1?]
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