Physics · Digital Signal Processing
Consider a continuous-time system represented by the differential equation: dy(t)dt + 0.1y(t) = x(t) A digital filter is obtained using the first forward difference method where the derivative part is replaced with (y[n + 1] - y[n])/T. The values of sampling period T, for which the resulting digital filter is stable, are given by:
- 10 < T < 20✓
- 2T > 20
- 3All positive values of T
- 4T < 10
Correct answer
0 < T < 20
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