Consistency of two detection techniques using single measurement of data

Qi Cheng; Yingbo Hua

doi:10.1016/S0165-1684(97)00240-5

Consistency of two detection techniques using single measurement of data

Qi Cheng, Yingbo Hua

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In this paper, we prove the (large sample) strong consistency of two methods for detection of frequencies using a single measurement. The two methods are the efficient detection criterion (EDC) by Zhao et al., and the alternating notch periodogram approach (ANPA) by Hwang-Chen. The strong consistency of the two methods using a single measurement was claimed but not proved by Hwang-Chen. Furthermore, this paper provides a class of sufficient conditions for strong consistency, which in part contradicts that claimed by Hwang-Chen.

Original language	English
Pages (from-to)	61-77
Number of pages	17
Journal	Signal Processing: the Official Publication of the European Association for Signal Processing
Volume	66
Issue number	1
DOIs	https://doi.org/10.1016/S0165-1684(97)00240-5
Publication status	Published - 27 Apr 1998
Externally published	Yes

Keywords

ANPA
Detection
EDC
Single measurement
Strong consistency
Weak consistency

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10.1016/S0165-1684(97)00240-5

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abstract = "In this paper, we prove the (large sample) strong consistency of two methods for detection of frequencies using a single measurement. The two methods are the efficient detection criterion (EDC) by Zhao et al., and the alternating notch periodogram approach (ANPA) by Hwang-Chen. The strong consistency of the two methods using a single measurement was claimed but not proved by Hwang-Chen. Furthermore, this paper provides a class of sufficient conditions for strong consistency, which in part contradicts that claimed by Hwang-Chen.",

keywords = "ANPA, Detection, EDC, Single measurement, Strong consistency, Weak consistency",

author = "Qi Cheng and Yingbo Hua",

year = "1998",

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AU - Hua, Yingbo

PY - 1998/4/27

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AB - In this paper, we prove the (large sample) strong consistency of two methods for detection of frequencies using a single measurement. The two methods are the efficient detection criterion (EDC) by Zhao et al., and the alternating notch periodogram approach (ANPA) by Hwang-Chen. The strong consistency of the two methods using a single measurement was claimed but not proved by Hwang-Chen. Furthermore, this paper provides a class of sufficient conditions for strong consistency, which in part contradicts that claimed by Hwang-Chen.

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KW - Detection

KW - EDC

KW - Single measurement

KW - Strong consistency

KW - Weak consistency

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JF - Signal Processing: the Official Publication of the European Association for Signal Processing

IS - 1

ER -

Consistency of two detection techniques using single measurement of data

Abstract

Keywords

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