Topic: Signals & Systems
Spectrum of a signal x(t), sampled at period T, is given by:
- A. X_s(f) = ∑_{n=-∞}^{∞} X(f - n/T)
- B. X_s(f) = ∑_{n=-∞}^{∞} X(nf - T)
- C. X_s(f) = X(f - n/T)
- D. X_s(f) = ∑_{n=-∞}^{∞} X(f - nT)
Answer: A. X_s(f) = ∑_{n=-∞}^{∞} X(f - n/T)
Explanation: When x(t) is sampled uniformly with period T, the sampled signal in frequency domain is given by X_s(f) = ∑_{n=-∞}^{∞} X(f - n/T).