3. x(t) is the message signal that undergoes through the impulse train sampling to generate the sampled signal S(t). X (w) and S(w) are the Fourier Transform of x(t) and S(t) respectively. X(w) w -Wo / 2 Wo / 2 a) Sketch S(w) for when the sampling is at Nyquist Rate, b) Sketch M, (w) where M, (w) is the recovered message signal after applying an ideal 3wo of 4 low pass filter with a cut-off frequency c) Comment on your result in (b) that whether or not the original signal can be recovered

EEE

2) Describe: a) various types of Signals, b) The idea behind Fourier Transform, c) Analog to Digital Conversion, Nyquist Sampling Theorem, d) Errors associated with A to D conversion that are related to Nyquist Sampling Theorem.

Which of the following characteristics must a signal have in order to be expressed in terms of a Fourier transform?You must indicate all valid optionsA) None is correctB) It must be continuous and have finite energyC) It must be periodic and have finite energy.D) All are correctE) To be periodic and to have infinite energy