A signal  is sampled at  and then passed through an ideal low pass filter having cut-off frequency of . The maximum frequency present in the filtered signal in  is __________ (Round off to the nearest integer).

The output y(t) of the following system is to be sampled, so as to reconstruct it from its samples uniquely. The required minimum sampling rate is         

Let   and  be two signals whose Fourier Transforms are as shown in the figure shown below, In the figure,  denotes the impulse response.

For the system shown above, the minimum sampling rate required to sample y(t), so that y(t) can be uniquely reconstructed from its samples, is

For the signal , the minimum sampling frequency (in Hz) satisfying the Nyquist criterion is _________.

A sinusoid x(t) of unknown frequency is sampled by an impulse train of period 20ms. The resulting sample train is next applied to an ideal low pass filter with a cutoff at 25Hz. The filter output is seen to be a sinusoid of frequency 20Hz. This means that x(t) has a frequency of

A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency in kHz which is not valid is

The frequency spectrum of a signal is shown in the figure. If this signal is ideally sampled at intervals of 1ms. Then the frequency spectrum of the sampled signal will be