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What is the period of the scaled spectrum Fs.X(F)?(a) 2Fs(b) Fs/2(c) 4Fs(d) FsThe question was asked during an interview.My query is from IIR Filter Design by Impulse Invariance in division Digital Filters Design of Digital Signal Processing

Answer»

The correct ANSWER is (d) Fs

For explanation: When a continuous time signal x(t) with spectrum X(F) is SAMPLED at a rate Fs=1/T samples PER SECOND, the spectrum of the sampled signal is periodic repetition of the scaled spectrum Fs.X(F) with period Fs.



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