The minimum step-size required for a Delta-Modulator operating at 32 K samples/sec to track the signal is x (t ) = 125t (u (t ) − u (t − 1)) + (250 − 125t ) (u (t − 1) − u (t − 2)). (Here u (t) is the unit-step function.) So that slope-overload is avoided, would be
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