8) (1.5pt) Circle TRUE (T) or FALSE (F): (a) A signal can be reconstructed from

Question

8) (1.5pt) Circle TRUE (T) or FALSE (F): (a) A signal can be reconstructed from its samples if the sampling rate is 2x the signal's minimum frequency. (T/F) (b) A system is "linear" whenever its output ylt)-A x(t)+B for some constants A and B. (T/F) (c) A system is called "time invariant" if its output ylt) does not change over time; i.e. yt) equals a constant. (T/F) (d) The energy spectrum density of an energy signal xtt) is given by IX(w)l.(T/F) (e) If a signal x(t) is compressed in time, then its Fourier Transform (f) If a system is stable, then the Fourier Transform X(w) is expanded in frequency. (T/F) H(w) of the impulse response equals H(s) at se-w. (T/F)

Explanation / Answer

Answer :-a) TRUE, sampling frequency must be greater than or equal to twice of minimum frequency content.

b) TRUE, output and input has a linear relation ship.

c) FALSE, time invariant means a time shift in input does not affect the properties of output, i.e. if x(t) => y(t) then x(t - T) => y(t - T).

d) TRUE

e) TRUE

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