Computing the discrete-time “analytic” signal via FFT

Author

Marple, S. Lawrence, Jr.

Author_Institution

Orincon Corp., San Diego, CA, USA

Volume

47

Issue

9

fYear

1999

fDate

9/1/1999 12:00:00 AM

Firstpage

2600

Lastpage

2603

Abstract

Starting with a real-valued N-point discrete-time signal, frequency-domain algorithms are provided for computing (1) the complex-valued standard N-point discrete-time “analytic” signal of the same sample rate; (2) the complex-valued decimated N/2-point discrete-time “analytic” signal of half the original sample rate; and (3) the complex-valued interpolated NM-point discrete-time “analytic” signal of M times the original sample rate. Special adjustment of the transform end points are shown to be necessary in order to generate proper discrete-time “analytic” signals

Keywords

fast Fourier transforms; frequency-domain analysis; interpolation; signal sampling; FFT; complex-valued decimated signal; complex-valued interpolated signal; complex-valued standard signal; continuous-time infinite-duration analytic signal; discrete-time analytic signals; discrete-time finite-duration signal; frequency-domain algorithms; real-valued discrete-time signal; sample rate; Algorithm design and analysis; Amplitude estimation; Discrete transforms; Fourier transforms; Frequency domain analysis; Frequency estimation; Signal analysis; Signal processing; Signal processing algorithms; Spectral analysis;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.782222

Filename

782222