The optimum design of one- and two-dimensional FIR filters using the frequency response masking technique

Lim, Yong Ching; Lian, Yong

doi:10.1109/82.219838

Cited by 162 publications

(107 citation statements)

References 8 publications

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“…The normalized transition bandwidth of the filter is defined as f = F/F s . The FRM technique is efficient when f is very small, i.e., f 1/16, which is assumed throughout the paper (note that f is the same as β introduced in [12]). To meet the same specifications, the length of an optimum (Remez) FIR filter, N o , is slightly shorter than the effective filter length of the FRM filter [12].…”

Section: Frequency-response Masking Techniquementioning

confidence: 99%

On the Applications of the Frequency-Response Masking Technique in Array Beamforming

Liu

Lin

2006

Circuits Syst Signal Process

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Abstract. The frequency-response masking (FRM) technique is well known to be very efficient in the implementation of finite impulse response (FIR) filters with sharp transition bands. As sensor array beamforming is closely related to FIR filtering, the feasibility of the applications of the FRM technique in array beamforming is investigated in detail in this paper. On one hand, it is shown that there is a limitation in applying the FRM technique in passive array beamforming. On the other hand, for active array beamforming, a novel combination of the concept of effective aperture and the FRM technique does lead to the synthesis of desirable beamformers. These beamformers have effective beampatterns with sharp transition bands and low sidelobes, and can be implemented with fewer sensors than other design techniques.

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Section: Frequency-response Masking Techniquementioning

confidence: 99%

On the Applications of the Frequency-Response Masking Technique in Array Beamforming

Liu

Lin

2006

Circuits Syst Signal Process

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“…Next, filter F I and F Q in order to get F I and F Q (this is done using a Bartlett, i.e. a triangle, window whose weight is W n ) (Zoltan, 2012;Lim and Lian, 1993): 5. Based on the two components calculated above, the amplitude, A F , and phase, ϕ F , of the modulated signals can be obtained:…”

Section: Procedures For Processing Xcp Ocean Current Datamentioning

confidence: 99%

Method for processing XCP data with improved accuracy

Zhang

Zhao

et al. 2017

Geosci. Instrum. Method. Data Syst.

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Abstract. An expendable current profiler (XCP) is a device used for monitoring ocean currents. In this study, we focus on the technology available for processing XCP data and propose a more accurate method for calculating the current velocity from the nanovolt-scale current-induced electric field measured using an XCP. In order to confirm the accuracy of the proposed data processing method, a sea test was performed in the South China Sea region, wherein, for the first time in China, ocean current and electric-field data were collected from the sea surface to a depth of 1000 m using an XCP. The current-data processing method described herein was used to determine the eastward and northward relative velocity components of the current from the measured data, which were then compared with the current data obtained using an acoustic Doppler current profiler, in order verify the accuracy of the measurements as well as that of the data processing method.

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“…This minimax problem is to be solved as a WLS problem. More specifically, we minimize the objective function (2) where is a dense set of frequencies uniformly distributed in , and is a weighting function. Let this WLS problem be referred to as Problem .…”

Section: Problemmentioning

confidence: 99%

“…However, the drawback of this approach is that the filter length of one of the masking filters becomes excessively long, which is not optimal from a structural point of view. This is because minimum complexity is achieved (see [2], [20]) only when the transition widths (or complexity) of the two masking filters are equal. To address this problem, the IFIR-FRM structure proposed in [12] is further improved in [11].…”

Section: Introductionmentioning

confidence: 99%

A weighted least squares approach to the design of FIR filters synthesized using the modified frequency response masking structure

Lee

Caccetta

Teo

et al. 2006

IEEE Trans. Circuits Syst. II

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Abstract-This paper presents an application of the weighted least squares (WLS) method to the design of sharp linear phase finite-impulse response (FIR) digital filters synthesized using a modified frequency-response masking (FRM) structure. In our approach, the original minimax design problem is converted into a WLS problem. The WLS problem is highly nonlinear with respect to the coefficients of the filter. However, it can be decomposed into four linear least squares (LS) problems, each of which can be solved analytically. The design problem is then solved iteratively by using an alternating variable approach. The effectiveness of the method is demonstrated through solving a low-pass linear phase sharp FIR digital filter example.Index Terms-Frequency-response masking (FRM), minimax error, weighted least squares (WLS), alternating variable approach.

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The optimum design of one- and two-dimensional FIR filters using the frequency response masking technique

Cited by 162 publications

References 8 publications

On the Applications of the Frequency-Response Masking Technique in Array Beamforming

On the Applications of the Frequency-Response Masking Technique in Array Beamforming

Method for processing XCP data with improved accuracy

A weighted least squares approach to the design of FIR filters synthesized using the modified frequency response masking structure

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