Impulsive autocorrelation sequence

1. What is the autocorrelation sequence?
2. How do you find the autocorrelation of a sequence?
3. What is autocorrelation in PN sequence?
4. What is random sequence in DSP?

What is the autocorrelation sequence?

Autocorrelation is the coefficient of linear correlation between two terms of a sequence of random variables. Autocorrelation is also called serial correlation. Definition. Autocorrelation and weakly stationary sequences.

How do you find the autocorrelation of a sequence?

Definition 1: The autocorrelation function (ACF) at lag k, denoted ρ_k, of a stationary stochastic process, is defined as ρ_k = γ_k/γ₀ where γ_k = cov(y_i, y_i+k) for any i. Note that γ₀ is the variance of the stochastic process. The variance of the time series is s₀. A plot of r_k against k is known as a correlogram.

What is autocorrelation in PN sequence?

A PN code is a sequence of binary numbers with certain autocorrelation properties. These sequences are typically periodic. A maximum-length sequence is a periodic PN sequence with the longest possible period for a given length M of the shift register. The period of such a sequence is N=2^M−1.

What is random sequence in DSP?

A random (or stochastic) digital process is one giving rise to an infinite set of random variables, of which a particular sample sequence x[n], -∞ < n < ∞, is just one realisation.