Title
Arbitrary factorisation of decimation ratio for efficient multistage realisation
Abstract
Multistage implementation of decimators is in many cases more efficient than single-stage one. However, if the decimation ratio is prime, it cannot be factorised into a product of smaller integer factors. Previously it has been proposed that a rational decimation stage can be used to enable arbitrary selection of the decimation ratios. This way the advantages of multistage decimation and special filter structures such as halfband filters become available regardless of the overall decimation ratio. In this paper, we propose a method for optimising the overall response of such multistage decimators. Imaging and aliasing phenomena in such decimators are analysed, an iterative design method is introduced, and design examples are given. The proposed method can also be used for non-prime decimation ratios when their prime factors are not favourable for multistage implementation.
Year
Venue
Keywords
2004
EUSIPCO
antialiasing,filtering theory,iterative methods,signal sampling,singular value decomposition,aliasing phenomena,decimation ratio arbitrary factorisation,imaging phenomena,iterative design method,multistage realisation,nonprime decimation ratio,special filter structure
Field
DocType
ISBN
Integer,Prime (order theory),Mathematical optimization,Decimation,Arithmetic,Aliasing,Realisation,Iterative design,Factorization,Prime factor,Mathematics
Conference
978-320-0001-65-7
Citations 
PageRank 
References 
0
0.34
5
Authors
3
Name
Order
Citations
PageRank
Vesa Lehtinen1104.34
Babic, D.2367.95
Markku Renfors31173156.77