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The DTFT of a signal f(n) = {a, b, c, d} is F(ω). The inverse DTFT of F(ω - π) is:
  • a)
    {a, b, c, d}
  • b)
    {-a, b, -c, d}
  • c)
    {a, -b, c, -d}
  • d)
    {-a, -b, -c, -d}
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The DTFT of a signal f(n) = {a, b, c, d} is F(ω). The inverse DT...
If the DTFT of a signal f(n) ↔ F(ω), then from the frequency shifting property
Calculation:
Given, f(n) = {a, b, c, d}
If f(n) ↔ F(ω)
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Most Upvoted Answer
The DTFT of a signal f(n) = {a, b, c, d} is F(ω). The inverse DT...
Explanation:

Given: f(n) = {a, b, c, d} and F(ω) is the DTFT of f(n)

Step 1: Find the inverse DTFT of F(ω - π)
To find the inverse DTFT of F(ω - π), we need to shift the frequency by π in the frequency domain.

Step 2: Shifting property of DTFT:
The inverse DTFT of F(ω - π) corresponds to shifting the time-domain signal by one sample to the right.

Step 3: Applying the shift:
When we shift the signal f(n) = {a, b, c, d} one sample to the right, we get {d, a, b, c}.
Therefore, the inverse DTFT of F(ω - π) gives us the signal {d, a, b, c}.

Conclusion:
The correct answer is option 'c) {a, -b, c, -d}', which corresponds to the signal {d, a, b, c} after shifting by one sample to the right.
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The DTFT of a signal f(n) = {a, b, c, d} is F(ω). The inverse DTFT of F(ω - π) is:a){a, b, c, d}b){-a, b, -c, d}c){a, -b, c, -d}d){-a, -b, -c, -d}Correct answer is option 'C'. Can you explain this answer?
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