GATE EC|| SIGNALS & SYETMS || DTFT, DFT & MISCELLANEOUS || PYQs(2000-2025)

(GATE 2018 || EC || NAT|| 2 MARKS)

For a given sample-and-hold circuit, if the value of the hold capacitor is increased, then

(GATE 2014 || EC || MCQ || 1 MARKS)

(GATE 2015 || EC || MCQ || 1 MARK)

(GATE 2015 || EC || NAT || 2 MARKS)

A continuous time function x(t) is periodic with period T. The function is sampled uniformly with a sapling period T_s. In which one of the following cases is the sampled signal periodic?

(GATE 2016 || EC || MCQ || 1 MARK)

A continuous-time sinusoid of frequency 33 Hz is multiplied with a periodic Dirac-impulse train of frequency 46 Hz. The resulting signal is passed through an ideal analog low-pass filter with a cutoff frequency of 23 Hz. The fundamental frequency (in Hz) of the output is _____.

(GATE 2016 || EC || NAT || 1 MARKS)

(GATE 2016 || EC || NAT || 2 MARK)

(GATE 2016 || EC || NAT || 2 MARKS)

Let x(t) = sin(14000πt) where t is in seconds. The signal is sampled at a rate of 9000 samples per second. The sampled signal is then passed through an ideal low-pass filter with frequency response:

[Tex]H(f)= \begin{cases} 1, & |f|\leq 12\,\text{kHz} \\ 0, & |f|>12\,\text{kHz} \end{cases}[/Tex]

Find the number of sinusoids present in the output and their frequencies (in kHz).

(GATE 2017 || EC || MCQ || 2 MARKS)

Let x(t) = cos⁡(10πt) + cos⁡(30πt) be sampled at 20 Hz and reconstructed using an ideal low-pass filter with cut-off frequency 20 Hz. Find the frequencies present in the reconstructed signal.

(GATE 2014 || EC || MCQ || 1 MARKS)