1. Determine the Nyquist sample rate for a maximum analog input frequency of:
    4 KHz
    10 KHz
  2. Determine the dynamic range for a 10-bit sign-magnitude PCM code.
  3. Determine the minimum number of bits required in a PCM code for a dynamic range of 80 dB. What is the coding efficiency?
  4. For a resolution of 0.04 V, determine the voltages for the following linear seven-bit sign magnitude PCM codes.

(a) 1 0 0 1 0 1 1

(b) 0 1 0 1 1 0 1

  1. Determine the resolution and quantization error for an eight-bit linear sign magnitude PCM code for a maximum decoded voltage of 1.27 V.
  2. For a 12-bit linear PCM code with a resolution of 0.02 V, determine the voltage range that would be converted to the following PCM codes.

1 0 0 0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0 0 0 0
1 0 0 1 0 0 0 0 0 0 0 1
1 0 1 0 1 0 1 0 1 0 1 0

  1. A µ-law compression encoder has:
  2. Repeat problem 7 for µ = 0.

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