A signal contains a frequency component at 20 Hz with amplitude 1.50 V, but there is also some undesired noise in the signal at 10,000 Hz, amplitude 0.20 V. The DC offset is negligible. You wish to filter out the noise. The data acquisition system has a range of ±10 V and and bit depth of 16. Data are acquired at 30,000 Hz for a totoal of N = 4,096 points. (a) What is the frequency resolution and quantization error of your data acquisition system? (b) Select the order of your filter and its cutoff frequency to remove the noise from the signal acquired by the computer. (c) What are the resulting amplitudes and phases of the two signals after the filter (ie carrier and noise)? For each signal what is the attenuation in dB?

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A signal contains a frequency component at 20 Hz with amplitude 1.50 V, but there is also some undesired
noise in the signal at 10,000 Hz, amplitude 0.20 V. The DC offset is negligible. You wish to filter out the
noise. The data acquisition system has a range of ±10 V and and bit depth of 16. Data are acquired at
30,000 Hz for a totoal of N = 4,096 points.
(a) What is the frequency resolution and quantization error of your data acquisition system?
(b) Select the order of your filter and its cutoff frequency to remove the noise from the signal acquired by
the computer.
(c) What are the resulting amplitudes and phases of the two signals after the filter (ie carrier and noise)?
For each signal what is the attenuation in dB?
Transcribed Image Text:A signal contains a frequency component at 20 Hz with amplitude 1.50 V, but there is also some undesired noise in the signal at 10,000 Hz, amplitude 0.20 V. The DC offset is negligible. You wish to filter out the noise. The data acquisition system has a range of ±10 V and and bit depth of 16. Data are acquired at 30,000 Hz for a totoal of N = 4,096 points. (a) What is the frequency resolution and quantization error of your data acquisition system? (b) Select the order of your filter and its cutoff frequency to remove the noise from the signal acquired by the computer. (c) What are the resulting amplitudes and phases of the two signals after the filter (ie carrier and noise)? For each signal what is the attenuation in dB?
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