The input to a linear delta modulator having a step-size

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The input to a linear delta modulator having a step-size δ = 0.62V is a sine wave with frequency f m and peak amplitude Em. If sampling frequency is f s = 40 kHz the combination of the sine wave frequency and the peak amplitude, where slope overload will take place is— Em fm

1. 0.3 V 8 kHz
2. 1.5 V 4 kHz
3. 1.5 V 2 kHz
4. 3.0 V 1 kHz

Correct Option: B

For slope overload to take place

E_m ≥	δf_s
	2πf_m

Hence we will check the condition for each case given in the form of option (A), (B), (C) and (D).
After solving we conclude that this equality is satisfied with
E_m = 1·5V and f_m = 4kHz
Hence alternative (B) is the correct choice.