Adaptive IIR bandpass decimation filter for single sinusoid detection

✍ Scribed by Shang Li; Hideo Hashimoto; Xiaohua Wu; Nobuaki Takahashi; Tsuyoshi Takebe

• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 410 KB
• Volume: 83
• Category: Article
• ISSN: 1042-0967
• DOI: 10.1002/(sici)1520-6440(200007)83:7<91::aid-ecjc10>3.0.co;2-m

✦ Synopsis

This paper proposes an adaptive second-order IIR bandpass decimation filter for detecting a single sinusoid with an unknown frequency embedded in noise. The purpose is to realize a filter with high Q (selectivity) and less output amplitude fluctuation after convergence. As the first step, the adaptive second-order IIR bandpass filter with the variable center frequency is outlined. Then, we present a new method that derives the decimation filter function with a small amount of computation. The filter is derived from the above filter with the denominator coefficient made variable, and with the polynomial of z M as the denominator, where M (integer) is the decimation ratio. A method is shown to design the adaptive signal generator and the coefficient update circuit for a single sinusoid detection adaptive filter based on the proposed method. Lastly, the convergence and the output error characteristics of the proposed adaptive decimation filter are examined by a computer simulation example.