Determine the resolution and quantization error for an


1. Determine the Nyquist sample rate for a maximum analog input frequency of:

(a) 4 KHz
(b) 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


5. Determine the resolution and quantization error for an eight-bit linear sign magnitude PCM code for a maximum decoded voltage of 1.27 V.

6. 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.

(a) 1 0 0 0 0 0 0 0 0 0 0 1
(b) 0 0 0 0 0 0 0 0 0 0 0 0
(c) 1 1 0 0 0 0 0 0 0 0 0 0
(d) 0 1 0 0 0 0 0 0 0 0 0 0
(e) 1 0 0 1 0 0 0 0 0 0 0 1
(f) 1 0 1 0 1 0 1 0 1 0 1 0

7. A µ-law compression encoder has:

Vi(max) = 8 V, vi(max) = 1V, µ = 255

Determine the output voltage for an input voltage of 2 V.

8. Repeat problem 7 for µ = 0.

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Electrical Engineering: Determine the resolution and quantization error for an
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