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Determine the compression error for a resolution of 0.01 V and analog sample voltages +10.234 V.Express your answer in volts (V).

Question

Determine the compression error for a resolution of 0.01 V and analog sample voltages +10.234 V.Express your answer in volts (V).

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Solution

To determine the compression error for a resolution of 0.01 V and an analog sample voltage of +10.234 V, follow these steps:

  1. Identify the resolution: The resolution given is 0.01 V.

  2. Identify the analog sample voltage: The analog sample voltage is +10.234 V.

  3. Quantize the analog sample voltage: Quantization involves rounding the analog sample voltage to the nearest value that can be represented with the given resolution. In this case, the nearest value to +10.234 V with a resolution of 0.01 V is +10.23 V.

  4. Calculate the compression error: The compression error is the difference between the original analog sample voltage and the quantized voltage.

    Compression Error=Original VoltageQuantized Voltage \text{Compression Error} = \text{Original Voltage} - \text{Quantized Voltage}

    Substituting the values:

    Compression Error=10.234V10.23V \text{Compression Error} = 10.234 \, \text{V} - 10.23 \, \text{V}

  5. Compute the result:

    Compression Error=0.004V \text{Compression Error} = 0.004 \, \text{V}

Therefore, the compression error is 0.004 V.

This problem has been solved

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