Using ADZT for a signal reconstruction

Author

Masa, Pavel ; Sovka, Pavel ; Vlcek, M. ; Spetik, R.

Author_Institution

Fac. of Eletrical Eng., Czech Tech. Univ. in Prague, Prague, Czech Republic

fYear

2013

fDate

8-12 Sept. 2013

Firstpage

1

Lastpage

4

Abstract

The Approximate Discrete Zolotarev Transform (ADZT) has been introduced recently. The aim of this paper is to describe the possibilities and limitations of ADZT when used for a signal reconstruction. The signal reconstruction is shown for three types of signals. Only one signal segment is used, that is why there is no need of an overlap-add (or overlap-save) technique. ADZT behaviour is compared to DFT behaviour. Unlike DFT synthesis vectors, the ADZT synthesis vectors are signal dependent. There is only one constraint: these vectors are given by the inversion of a linear combination of the DFT base vectors. This fact forms the main difference between DFT and ADZT syntheses. The signal-dependent base of ADZT brings some advantages but also some new problems with the interpretation of the results.

Keywords

discrete Fourier transforms; signal reconstruction; ADZT behaviour; ADZT syntheses; ADZT synthesis vectors; DFT base vectors; DFT syntheses; approximate discrete Zolotarev transform; discrete Fourier transform; linear combination; overlap-add technique; overlap-save technique; signal reconstruction; Discrete Fourier transforms; Educational institutions; Kernel; Signal reconstruction; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuit Theory and Design (ECCTD), 2013 European Conference on

Conference_Location

Dresden

Type

conf

DOI

10.1109/ECCTD.2013.6662335

Filename

6662335