Question

A sinusoidal signal g(t), with an amplitude of 3.25 volts, is sampled at 100 samples each period, then applied to a uniform midtread quantizer whose output takes on the values 0,±1,±2,±3 volts.

What is the quantization characteristic v=g(m) ?

Answer 1

The quantization characteristic v=g(m) can take on the values of 0, ±1, ±2, and ±3 volts.

Step-by-step explanation:

The quantization characteristic v=g(m) can be determined by applying the sampling frequency and the midtread quantizer values to the sinusoidal signal g(t).

With a sampling rate of 100 samples per period, the signal will be sampled at regular intervals to obtain discrete values. The quantizer used has output values of 0, ±1, ±2, and ±3 volts.

Based on the amplitude of the sinusoidal signal, the quantization characteristic v=g(m) can take on the values of 0, ±1, ±2, and ±3 volts.

Answer 2

The quantization characteristic v=g(m) for the given problem can be determined by sampling the sinusoidal signal at 100 samples per period and applying it to a uniform midtread quantizer with output values of 0, ±1, ±2, ±3 volts.

Step-by-step explanation:

The quantization characteristic v=g(m) for the given problem can be determined by sampling the sinusoidal signal at 100 samples per period and applying it to a uniform midtread quantizer with output values of 0, ±1, ±2, ±3 volts.

Since the amplitude of the signal is 3.25 volts, it falls within the range of the quantizer's output values. Therefore, the quantization characteristic v=g(m) can be represented by the quantized values of the input sinusoidal signal.

For example, if the input signal has a value of 2 volts, the quantized output value would be +2 volts. Similarly, if the input signal has a value of -2.7 volts, the quantized output value would be -3 volts.