Signal restoration using left-sided and right-sided autoregressive parameters

A signal reconstruction system for restoring a missing portion of a digitized signal based upon a first known portion of the digitized signal and a second known portion of the digitized signal, the digitized signal including a plurality of samples, the system including:

• (a) a missing sample detector for determining whether or not any samples are missing from the digitized signal;
• b) a delay line for applying a predetermined amount of time delay to the digitized signal;
• (c) an interpolator for estimating the missing portion of the signal from the first known portion and the second known portion of the digital signal;
• (d) a switch, coupled to the missing sample detector, for directing the digitized signal to the delay line if no samples are missing from the digitized source signal;
• otherwise, directing the digitized signal to the interpolator;
• the interpolator comprising:
• (i) a segmentation device for determining the first known portion of the digital signal and the second known portion of the digital signal, and
• (ii) a segmentation parameter estimator, coupled to the segmentation device, for estimating parameters N.sub.L, N.sub.R, and M, wherein N.sub.L, represents the number of samples in the first known portion, N.sub.R represents the number of samples in the second known portion, and M represents the number of samples in the missing segment;
• the segmentation parameter generating a left-sided sample vector in response to the first known portion and a right-sided sample vector in response to the second known portion;
• (iii) a vector augmentation device, coupled to the segmentation parameter estimator, for generating K augmented left-sided sample vectors and K augmented right-sided sample vectors, wherein K is a positive integer;
• (iv) an autoregressive parameter estimator coupled to the vector augmentation device for determining left-sided autoregressive parameters for the augmented left-sided sample vectors and right-sided autoregressive parameters for the augmented right-sided sample vectors, the left-sided autoregressive parameters denoted by a vector .alpha..sup.(k), and the right-sided autoregressive parameters denoted by a vector b.sup.(k),
• (v) a matrix inverter, coupled to the autoregressive parameter estimator and to the segmentation device, for determining an estimated signal for the missing segment, denoted as vector x.sup.(k), in response to vector .alpha..sup.(k) vector b.sup.(k), and the segmentation device.