Question
Download Solution PDFA signal is passed through a LPF with cut-off frequency 10 kHz. The minimum sampling frequency is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFNyquist Sampling Theorem:
A continuous-time signal can be represented in its samples and can be recovered back when sampling frequency fs is greater than or equal to twice the highest frequency component of the message signal, i.e.
fs ≥ 2 fm
Where,
fs is the sampling frequency
fm is the highest frequency component of the message signal
Therefore to convert continuous signals to discrete signals, the sampling must be done at the Nyquist rate.
Calculation:
For getting minimum sampling frequency,
fs = 2 fm
Given,
fm = 10 kHz
fs = 2 × 10 kHz
= 20 kHz
Therefore, The minimum sampling frequency is 20 kHz
Last updated on Jul 2, 2025
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