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Frequency scaling [relationship between discrete time frequency (Ω) and continuous time frequency (ω)] is defined as 

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  1. ω = 2Ω
  2. ω = 2 TS/Ω
  3. Ω = 2 ω/TS
  4. Ω = ωTS

Answer (Detailed Solution Below)

Option 4 : Ω = ωTS
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Detailed Solution

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CONCEPT:

The digital frequency (Ω) is related to analog frequency (f) through the sampling frequency fs.

PROVING:

Continuous  to discrete frequency converter:

Let continuous signal is xc(t) and sampling signal is s(t).


 

Where Ωs = sampling frequency

Or we can write

If x(nT) = x(n)

 

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