In the case of uniform quantization, the value of the quantum (also known as the quantization step size or quantization interval) can be calculated based on the number of bits used for quantization and the range of the amplitude dynamics.
Given that R is 8 bits, it means there are 2^8 = 256 possible quantization levels. However, since the range of amplitude dynamics is ±20 volts, the quantization levels should be evenly distributed within this range.
To calculate the quantum (Δ) value, we can divide the total range by the number of quantization levels:
Total range = 2 × 20 volts = 40 volts
Δ = Total range / Number of quantization levels = 40 volts / 256 ≈ 0.15625 volts
Therefore, in the case of uniform quantization with an 8-bit representation and ±20 volts amplitude dynamics, the value of the quantum (Δ) would be approximately 0.15625 volts.