A signal contains frequency components up to, but excluding, 8 kHz. What is the minimum sampling rate for time-discretising the signal, so it can be perfectly recovered in its continuous form?   The time-discretised signal is to be quantised as well. If its peak-to-peak voltage is 2.5 V, and a difference between quantised levels is to be at most 10 mV, what is the minimum number of bits for the corresponding ADC?   If the ADC operates at the sampling rate from part (a) and the number of bits from part (b), what is the resulting bit rate for the signal transmission?   If the original signal is first DSBSC-modulated using a 200 kHz sine wave carrier, what is the minimum sampling rate for the modulated signal, so that the original continuous-time signal can be perfectly recovered?

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A signal contains frequency components up to, but excluding, 8 kHz.

What is the minimum sampling rate for time-discretising the signal, so it can be perfectly recovered in its continuous form?

 

The time-discretised signal is to be quantised as well. If its peak-to-peak voltage is 2.5 V, and a difference between quantised levels is to be at most 10 mV, what is the minimum number of bits for the corresponding ADC?

 

If the ADC operates at the sampling rate from part (a) and the number of bits from part (b), what is the resulting bit rate for the signal transmission?

 

If the original signal is first DSBSC-modulated using a 200 kHz sine wave carrier, what is the minimum sampling rate for the modulated signal, so that the original continuous-time signal can be perfectly recovered?

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