Consider a signal 𝑥(𝑡) with autocorrelation function 𝑅𝑥𝑥(𝜏). If 𝑅𝑥𝑥(𝜏) is even-symmetric around 𝜏=0, what can be inferred about the signal 𝑥(𝑡)?

Consider a signal  with autocorrelation function . If  is negative, what does this indicate about the signal ?Select one:a.The signal  is periodic.b.The signal  is non-stationary.c.The signal  is deterministic.d.The signal  has even symmetry.

Autocorrelation signal is an EVEN signal.i.e. y[n] = y[-n]Select one:Can't concludeFALSETRUE

Consider a periodic signal 𝑥(𝑡) with period 𝑇. What is the relationship between the autocorrelation function 𝑅𝑥𝑥(𝜏) and the Fourier series coefficients of 𝑥(𝑡)?

Consider two continuous-time signals 𝑥(𝑡) and 𝑦(𝑡), both with energy 𝐸. If the cross-correlation function 𝑅𝑥𝑦(𝜏) reaches its maximum value of 𝐸 at 𝜏=0, what can be inferred about the relationship between 𝑥(𝑡) and 𝑦(𝑡)?Select one:a. They are perfectly correlated.b. They are orthogonal to each other.c. They are uncorrelated.d. They are anti-correlated

In the context of time series analysis, if the autocorrelation function 𝑅𝑥𝑥(𝜏) exhibits a sharp peak at a specific lag 𝜏=𝑘, what does this suggest about the time series?Select one:a.The time series is highly correlated with its lagged version at lag 𝑘.b. The time series is non-stationary.c.The time series is periodic with period 𝑘.d. The time series is white noise.