Quantization step-size for a given signal based on its PDF

1. How do you calculate quantization step size?
2. What is meant by quantization step size?
3. How does quantization error depend on step size?
4. How do you calculate step size in PCM?

How do you calculate quantization step size?

Note that: step size = Δ = (x_max − x_min)/(2³ − 1); x_max = maximum voltage; and x_min = −x_max; and coding format: (a) sign bit: 1 = plus; 0 = minus; (b) 2 magnitude bits. The following example serves to illustrate coding principles of the 3-bit midtread quantizer.

What is meant by quantization step size?

Definition: the quantization step size is the smallest possible difference in amplitude. between samples. Definition: the sampling interval is the difference in time between successive samples. The resulting digital data is thus both temporally discrete and amplitude discrete.

How does quantization error depend on step size?

Because the quantization error is an increasing function of the step size, more quantization error will be introduced in the higher-frequency coefficients than in the lower-frequency coefficients.

How do you calculate step size in PCM?

For uniform quantizer, the step size is given by: Δ = V p − p L ; L = 2 ⁿ = number of encoding levels and n is the number of bits required to represent the given encoding levels.