Electronics and Communication Engineering - Signals and Systems - Discussion

Discussion Forum : Signals and Systems - Section 4 (Q.No. 24)
24.
A 1 kHz sinusoidal signal is ideally sampled at 1500 samples/sec and the sampled signal is passed through an ideal low pass filter with cut off frequency 800 Hz. The output signal has the frequency.
0 Hz
0.75 kHz
0.5 kHz
0.25 kHz
Answer: Option
Explanation:

Given fs = 1500 Hz ⇒ fm = 750 Hz.

The given signal frequency is 1 kHz.

The sampled frequency is 2.5 kHz, 0.5 kHz, But cut off frequency is 800 Hz or 0.8 kHz.

Therefore only 0.5 kHz will pass.

Discussion:
7 comments Page 1 of 1.

Dereje Gizaw said:   3 months ago
Anyone explain the answer in detail.

Beulah Durairaj said:   4 years ago
Given:
fm= 1 KHz, fs= 1500, 1.5KHz.

For output signals = ( fs+fm), (fs-fm)
= (1.5+1) , (1.5-1)
= (2.5), (0.5).

Given fc = 800Hz = 0.8 KHz.
So, consider the output signal as 0.5 KHz.
(1)

BOJARAJAN said:   5 years ago
Sampled frequencies are fs + fm and fs-fm.
Therefore, the Answer is option B.

Karthi said:   6 years ago
How? Please explain.

Rama said:   6 years ago
Why don't we consider 0.75, it also lies within the range of 0.5 to 0.8.

Rambabu k said:   7 years ago
Sampled frequency fs=2fm.

Sambasivam said:   8 years ago
How to calculate the value of sampled frequency? Can you please explain?

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