Topic: Signals and Systems
Which of the following statement is not true
- A. Autocorrelation function and energy spectral density forms a Fourier transform pair
- B. Autocorrelation function of a real valued energy signal is a real valued odd function
- C. The value of autocorrelation function of a power signal at the origin is equal to the average power of the signal
- D. Autocorrelation function is the inverse Fourier transform of power spectral density
Answer: B. Autocorrelation function of a real valued energy signal is a real valued odd function
Explanation: The autocorrelation function $R_{xx}(\tau)$ of a real-valued signal is an even function, meaning $R_{xx}(\tau) = R_{xx}(-\tau)$. Therefore, the statement that it is a real-valued odd function is incorrect.