Title
An Improved Method for Instantaneous Frequency Estimation Using a Finite Order Hilbert Transformer
Abstract
The present paper describes an instantaneous frequency (IF) estimation method. The instantaneous amplitude and phase can be obtained simultaneously by converting the real signal into a complex time signal using the Hilbert transform. In addition, the IF is obtained by differentiating the instantaneous phase with respect to time. However, the amplitude of the signal obtained by phase-shifting the input signal by 90-degrees is different from that of the input signal because a ripple is generated in the frequency characteristics of the finite order finite impulse response (FIR) Hilbert transformer (HT). As a result, errors are contained in the IF. In the present paper, we theoretically show that the IF obtained using the finite order HT contains harmonics. Moreover, we propose a method by which to remove harmonics using an FIR filter with the specified transmission zeros.
Year
Venue
Keywords
2020
2020 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference (APSIPA ASC)
frequency characteristics,finite order finite impulse response Hilbert transformer,instantaneous frequency estimation,instantaneous amplitude,complex time signal,instantaneous phase,FIR Hilbert transformer,FIR filter,transmission zeros
DocType
ISSN
ISBN
Conference
2640-009X
978-1-7281-8130-1
Citations 
PageRank 
References 
0
0.34
1
Authors
4
Name
Order
Citations
PageRank
Keisuke Takao101.01
Takahiro Natori201.35
Toma Miyata300.68
Naoyuki Aikawa400.68