To avoid slope overload error in delta modulation, the maximum amplitude of the input signal is

Concept:

Two types of distortions (Errors) occurs in Delta modulation system i.e.

1) Slope overload error

2) Granular Error

This is explained with the help of the given figure:

To avoid the slope overload error, the optimum or desired condition is:

i.e. the step rise of the quantized output must follow the input

Slope overload occurs when:

To prevent/avoid slope overload error, the condition that shall be satisfied is:

m(t) is a sinusoidal waveform given as:

m(t) = A_m sin ω_m t

The condition to avoid slope overload, therefore, becomes:

A_m cos (2π (mt)).2πf_m ≤ Δ⋅f_s

For maximum Amplitude, the above condition becomes: