Single Filter Frequency Masking High-Speed Recursive Digital Filters

Gustafsson, Oscar; Johansson, Håkan; Wanhammar, Lars

doi:10.1007/s00034-004-7028-y

Cited by 16 publications

(6 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this way, the efficiency of polyphase decomposition can be fully utilized, which means that all filtering will take place at the lowest sampling rate. It should be mentioned that there exist other ways to reduce the complexity emanating from the masking filters, either by relating them to each other [20], [21], [24] or to the model filter [8], [9]. Although those techniques can be utilized for single-rate filtering, they suffer from the same problem as does the original FRM filter class when it comes to polyphase interpolator and decimator realizations.…”

Section: Advantages Of the Proposed Frm Filter Classes And Relations mentioning

confidence: 98%

See 1 more Smart Citation

Two Classes of Frequency-Response Masking Linear-Phase FIR Filters for Interpolation and Decimation

Johansson

2006

Circuits Syst Signal Process

View full text Add to dashboard Cite

This paper introduces two classes of frequency-response masking (FRM) linearphase finite (length) impulse response (FIR) filters for interpolation and decimation by arbitrary integer factors M. As they are based on the FRM approach, the proposed filters are low-complexity (efficient) sharp-transition linear-phase FIR interpolation and decimation filters. Compared to previously existing FRM linear-phase FIR filter classes for interpolation and decimation, the new ones offer lower complexity and more freedom in selecting the locations of the passband and stopband edges. Furthermore, the proposed classes of FRM filters can, as special cases, realize efficient Mth-band FRM linear-phase FIR interpolation and decimation filters for all values of M. Previously, only half-band (M = 2) FRM linear-phase FIR filters have appeared in the literature. The paper includes design techniques suitable for the new filters and design examples illustrating their efficiency.

show abstract

Section: Advantages Of the Proposed Frm Filter Classes And Relations mentioning

confidence: 98%

“…8 It is noted that all filtering operations are performed at the lowest sampling rate, and that only one copy of each filter part is needed, yielding a low overall complexity. Hence, using the new classes of FRM filters, the efficiency of polyphase decomposition can be fully exploited.…”

Section: New Polyphase Interpolator and Decimator Structuresmentioning

confidence: 99%

Two Classes of Frequency-Response Masking Linear-Phase FIR Filters for Interpolation and Decimation

Johansson

2006

Circuits Syst Signal Process

View full text Add to dashboard Cite

show abstract

“…The effective length of the filter designed using our new FRM technique is given by (13) From (3), (7), (9), (11), and (13)…”

Section: Optimum For Even Length Hilbert Transformersmentioning

confidence: 99%

Optimum masking levels and coefficient sparseness for Hilbert transformers and half-band filters designed using the frequency-response masking technique

Lim

Saramäki

2005

IEEE Trans. Circuits Syst. I

View full text Add to dashboard Cite

Hilbert transformers and half-band filters are two very important special classes of finite-impulse response filters often used in signal processing applications. Furthermore, there exists a very close relationship between these two special classes of filters in such a way that a half-band filter can be derived from a Hilbert transformer in a straightforward manner and vice versa. It has been shown that these two classes of filters may be synthesized using the frequency-response masking (FRM) technique resulting in very efficient implementation when the filters are very sharp. While filters synthesized using the FRM technique has been characterized for the general low-pass case, Hilbert transformers and half-band filters synthesized using the FRM technique have not been characterized. The characterization of the two classes of filter is a focus of this paper. In this paper, we re-develop the FRM structure for the synthesis of Hilbert transformer from a new perspective. This new approach uses a frequency response correction term produced by masking the frequency response of a sparse coefficient filter, whose frequency response is periodic, to sharpen the bandedge of a low-order Hilbert transformer. Optimum masking levels and coefficient sparseness for the Hilbert transformers are derived; corresponding quantities for the half-band filters are obtained via the close relationship between these two classes of filters.Index Terms-Finite-impulse response (FIR) digital filter, frequency-response masking (FRM), Hilbert transformer, half-band filter, sparse coefficient filter.

show abstract

“…11 Using IFIR filter as the second stage masking filter get the desired output. The z-transform transfer function of the overall filter can be written as in (11). The whole process is shown in Fig.…”

Section: Case B Designs With Stopband Edge Greater Than π/2mentioning

confidence: 99%

Frequency-Response Masking Filters Based on Serial Masking Schemes

Wei

Lian

2009

Circuits Syst Signal Process

View full text Add to dashboard Cite

In this paper, computationally efficient filter structures based on the frequency-response masking (FRM) technique are proposed for the synthesis of arbitrary bandwidth sharp finite impulse response (FIR) filters. A serial masking scheme is introduced in the new structures to perform the masking task in two stages, which reduces the complexity of the masking filters. Compared to the original FRM and interpolated FIR-FRM (IFIR-FRM) structures, the proposed structures achieve additional savings in terms of numbers of arithmetic operations.

show abstract

Single Filter Frequency Masking High-Speed Recursive Digital Filters

Cited by 16 publications

References 17 publications

Two Classes of Frequency-Response Masking Linear-Phase FIR Filters for Interpolation and Decimation

Two Classes of Frequency-Response Masking Linear-Phase FIR Filters for Interpolation and Decimation

Optimum masking levels and coefficient sparseness for Hilbert transformers and half-band filters designed using the frequency-response masking technique

Frequency-Response Masking Filters Based on Serial Masking Schemes

Contact Info

Product

Resources

About