Signals and Systems Lab
Virtual Lab IIT Guwahati
Exp-3 Fourier analysis of signals
Objective
Theory
Procedure
Simulator
Quiz
Reference
1)In Exp 3(a) CTFS-CTFT , for a periodic signal with period 2.5 s, the spectral content at 0.4 Hz corresponds to which harmonic in the CTFS harmonic plot?
2
1
0.5
2) For a periodic signal which one of the following statements characterize the relationship between number of harmonics within a fixed frequency band and time period of the signal ?
By increasing the time period number of harmonics will increase.
By increasing the time period number of harmonics will decrease.
By increasing the time period number of harmonics will have no change.
3) In exp 3(e) CTFT-DTFT, for what value of the sampling rate the impulse-sampled version of continuous time signal x(t) matches with the given discrete time signal x[n] ?
2 Hz
1 Hz
0.5 Hz
4) In exp 3(c), what is the frequency of the spectral component corresponding to 4th harmonic for the corresponding normalized frequency components when the period is set to 5 ?
0.08
0.06
1.00
5) A continuous-time signal x(t) has a Fourier Transform X(w). The Fourier transform of the time shifted signal x(t+p) would be given by
X(w)exp(-jwp)
X(w)exp(jwp)
X(w)
6) If a signal is discrete in one domain(time/frequency), then its equivalent representation in the other domain would be
Periodic
Aperiodic
7) "The total energy of all discrete time n is equal to the total energy in one fundamental frequency" - this statement is better known as
Nyquist Sampling Theorem
Parseval's Theorem
Duality in time and frequency domain