covmat_bi {avar}

Calculate Theoretical Covariance Matrix of Bias-Instability Process

Description

This function allows us to calculate the theoretical covariance matrix of a bias-instability process.

Usage

covmat_bi(sigma2, n_total, n_block)

Arguments

sigma2

A double value for the variance parameter \sigma ^2.

n_total

An integer indicating the length of the whole bias-instability process.

n_block

An integer indicating the length of each block of the bias-instability process.

Value

The theoretical covariance matrix of the bias-instability process.

Note

This function helps calculate the theoretical covariance matrix of a non-stationary process, bias-instability. It is helpful to calculate the theoretical allan variance of non-stationary processes, which can be used to compare with the theoretical allan variance of stationary processes as shown in "A Study of the Allan Variance for Constant-Mean Non-Stationary Processes" by Xu et al., 2017, IEEE Signal Processing Letters, 24(8): 1257–1260.

Author(s)

Yuming Zhang

Examples

covmat1 = covmat_bi(sigma2 = 1, n_total = 1000, n_block = 10)
covmat2 = covmat_bi(sigma2 = 2, n_total = 800, n_block = 20)