Recursive Least Squares Spectrum Estimation

Author

Malik, Mohammad Bilal ; Hakeem, Mohammad Umar ; Ghazi, Imran ; Hassan, Ata-ul-Basit

Author_Institution

Coll. of Electr. & Mech. Eng., Nat. Univ. of Sci. & Technol., Rawalpindi

Volume

1

fYear

2006

fDate

9-13 July 2006

Firstpage

599

Lastpage

602

Abstract

This paper presents a unifying basis of Fourier analysis/spectrum estimation and adaptive filters. It begins with the derivation of state-space recursive least squares with rectangular windowing (SSRLSRW). The topics covered are batch processing, recursive algorithm and initialization etc. This is followed by a discussion to track a single tone which is finally extended to the derivation of recursive discrete Fourier transform. The relation between SSRLS and SSRLSRW also provides a mathematical rationale to use resonator banks for spectrum estimation

Keywords

Fourier transforms; adaptive filters; least squares approximations; spectral analysis; state-space methods; Fourier analysis; adaptive filters; batch processing; rectangular windowing; recursive algorithm; recursive discrete Fourier transform; recursive least squares spectrum estimation; state-space recursive least squares; Adaptive filters; Discrete Fourier transforms; Educational institutions; Frequency domain analysis; Least squares approximation; Least squares methods; Mechanical engineering; Paper technology; Resonance light scattering; Spectral analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Electronics, 2006 IEEE International Symposium on

Conference_Location

Montreal, Que.

Print_ISBN

1-4244-0496-7

Electronic_ISBN

1-4244-0497-5

Type

conf

DOI

10.1109/ISIE.2006.295527

Filename

4077996