A continuous-time lowpass filter is realized using a discrete-time system, as in Fig. 7.28. When the discrete-time system operates with sampling interval T = 50 μs, the system has a cutoff frequency of 10 kHz. If the sampling interval is changed to T = 25 μs, determine the new cutoff frequency of the filter. Repeat the problem if T is changed to 200 μs.
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