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A low-pass analogue signal has a bandwidth of 15 kHz and has a SNR of 43 dB due to thermal noise and interference from nearby electrical equipment. If uniform 10-bit quantisation is used when sampling and digitising the signal, which of the following would you expect to be the output digital bit rate?Question 9Select one:75 kbit/s150 kbit/s100 kbit/s30 kbit/s330 kbit/s

Question

A low-pass analogue signal has a bandwidth of 15 kHz and has a SNR of 43 dB due to thermal noise and interference from nearby electrical equipment. If uniform 10-bit quantisation is used when sampling and digitising the signal, which of the following would you expect to be the output digital bit rate?Question 9Select one:75 kbit/s150 kbit/s100 kbit/s30 kbit/s330 kbit/s

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Solution

The output digital bit rate can be calculated using the formula:

Bit Rate = 2 * Bandwidth * log2(L)

Where:

  • Bandwidth is the bandwidth of the signal, and
  • L is the number of quantization levels.

Given that the signal is uniformly quantized into 10 bits, there are 2^10 = 1024 quantization levels.

So, the bit rate is:

Bit Rate = 2 * 15 kHz * log2(1024) = 2 * 15 kHz * 10 = 300 kbit/s

However, this option is not available in the choices provided. There might be a mistake in the question or the provided choices.

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Similar Questions

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What is the percentage increase in the number of bits processed as a result of increasing the sampling rate from 44 kHz to 128 kHz? Express your answer to the nearest percent.

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