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How can the need for an array of narrow-band filters and detectors be eliminated?

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How can the need for an array of narrow-band filters and detectors be eliminated?

(a) By using multi-channel excitation

(b) By using a detector for each frequency

(c) By reducing the number of detectors

(d) By using Fourier transform

The question was asked at a job interview.

The origin of the question is Fourier Transform NMR Spectroscopy in section Nuclear Magnetic Resonance Spectrometer of Analytical Instrumentation

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Right choice is (d) By using Fourier transform

Explanation: Fourier transform plays the role of a multichannel receiver. Hence, the need for array of narrow-band filters can be eliminated

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