Question

The selection of the sampling rate Fs=1/T, where T is the sampling interval, not only determines the highest frequency (Fs/2) that is preserved in the analog signal but also serves as a scale factor that influences the design specifications for digital filters.

(a) True

(b) False

The question was asked during an interview.

Origin of the question is Discrete-Time Processing of Continuous Time Signals in section Discrete Time Systems Implementation of Digital Signal Processing

Answer 1

The correct choice is (a) True

To explain: Once we have specified the pre filter requirements and have selected the desired sampling rate, we can proceed with the design of the digital signal processing operations to be performed on the discrete-time signal. The selection of the sampling rate  Fs=1/T, where T is the sampling interval, not only determines the highest frequency (Fs/2) that is preserved in the analog signal but also serves as a scale factor that influences the design specifications for digital filters and any other discrete-time systems through which the signal is processed.