Steady-state analysis of complex adaptive IIR notch filters for the detection of single sinusoid
✍ Scribed by Haiyun Jiang; Shotaro Nishimura; Takao Hinamoto
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 217 KB
- Volume
- 85
- Category
- Article
- ISSN
- 1042-0967
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✦ Synopsis
Abstract
In this paper, we present a new structure for a complex adaptive infinite impulse response (IIR) notch filter which is useful for the detection of complex sinusoids in communication and radar systems. The proposed structure is based on the gradient algorithm. The adaptive detection of a complex sinusoid with additive complex white noise has been investigated. A quantitative analysis for the steady‐state coefficient fluctuation has been developed. Analytical expressions for the steady‐state variance of complex variable coefficient fluctuation have been obtained. It has been shown that the variance of the complex coefficient fluctuation does not depend on the angular frequency of the input sinusoid. Finally, the results of computer simulations which confirm the theoretical predictions are presented. © 2001 Scripta Technica, Electron Comm Jpn Pt 3, 85(1): 32–40, 2002