Title :
Instability in the solution of banded Toeplitz systems
Author :
MacLeod, Allan J.
Author_Institution :
Dept. of Math. & Stat., Paisley Coll. of Technol., UK
fDate :
9/1/1989 12:00:00 AM
Abstract :
The author considers some algorithms for the solution of banded Toeplitz systems and calculates certain elements of the solution first and then the remaining elements by forward or backward substitution. It is shown that for symmetric matrices this method is almost always highly unstable. A numerical example is given to support the argument
Keywords :
matrix algebra; signal processing; banded Toeplitz systems; signal processing; symmetric matrices; Adaptive arrays; Antennas and propagation; Array signal processing; Frequency; Multidimensional signal processing; Sensor arrays; Signal processing; Signal processing algorithms; Signal resolution; Speech processing;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
