What is the discrete-time signal obtained after sampling the analog signal x(t)=cos(2000*pi*t)+sin(5000*pi*t) at a sampling rate of 5000 samples/sec?(a) cos(2.5*pi*n)+sin(pi*n)(b) cos(0.4*pi*n)+sin(pi*n)(c) cos(2000*pi*n)+sin(5000*pi*n)(d) none of the mentionedThis question was addressed to me during an internship interview.My question comes from A2D and D2A Converters in section DSP – Basic Signaling of Digital Signal Processing

What is the discrete-time signal obtained after sampling the analog si

1.	What is the discrete-time signal obtained after sampling the analog signal x(t)=cos(2000pit)+sin(5000pit) at a sampling rate of 5000 samples/sec?(a) cos(2.5pin)+sin(pin)(b) cos(0.4pin)+sin(pin)(c) cos(2000pin)+sin(5000pin)(d) none of the mentionedThis question was addressed to me during an internship interview.My question comes from A2D and D2A Converters in section DSP – Basic Signaling of Digital Signal Processing
Answer» The correct choice is (b) COS(0.4pin)+sin(pin) Easy explanation: From the given ANALOG SIGNAL, F1=1000Hz F2=2500Hz and Fs=5000Hz =>f1=F1/Fs and f2=F2/Fs =>f1=0.2 and f2=0.5 =>x(n)=cos(0.4pin)+sin(pin).

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