Frequency-Reponse Masking Techniques

Frequency-Reponse Masking Techniques

Ljiljana Milic (Mihajlo Pupin Institute, Servia)
DOI: 10.4018/978-1-60566-178-0.ch010
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Abstract

The initial concept of the frequency-response masking technique was introduced by Neuvo, Cheng-Yu and Mitra (1984). It was shown that the complexity of a linear phase FIR filter can be considerably reduced by using the cascade connection of an interpolated FIR (IFIR) filter and a properly designed FIR filter. The IFIR filter transfer function is obtained by replacing the unit delay z-1 with the delay block z-M, where M is an integer. In this way, the frequency response of the IFIR filter is made periodic. The FIR filter in the cascade is used to eliminate (mask) the images from the IFIR filter frequency response. Two years later, Lim (1986) proposed a complete approach for the application of frequency-response masking technique in designing narrow-band and arbitrary-band linear phase FIR filters. It was shown that the approach given in (Lim, 1986) results in a linear phase FIR filter with a small fraction of nonzero coefficients, and thus is suitable for implementing sharp filters with arbitrary bandwidths. The arithmetic complexity is considerably smaller in comparison with the arithmetic complexity of an optimal FIR filter having the equivalent frequency response. This approach is applied later to IIR filters by Johansson and Wanhammar (1997, 2000). The overall filter is composed of an IIR periodic model filter and its complementary periodic filter, and FIR linearphase masking filters. In this way, the arbitrary-band filter can be designed. For a narrowband filter, the cascade of a periodic filter and masking filter can be used. The frequency-response masking approach is suitable for digital filters with sharp transition bands. Compared to the classical single-filter design, this technique offers the advantage of lower coefficients’ sensitivity, higher computation speed and lower power consumption. Recently, the application of frequency-response masking approach has been extended to filter banks to achieve a sharp band-separation with reduced computational complexity (Furtado, Diniz, Netto, and Saramäki, T. 2005; Rosenbaum, Lövenborg, and Johansson, 2007). In this chapter, we review the frequency-response masking techniques for narrow-band and arbitrary bandwidth IIR filters. We demonstrate through examples that very selective characteristics can be obtained using relatively low-order sub-filters. In this way, stable, low-sensitive filters are obtained.

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Dedication
Table of Contents
Foreword
Miroslav D. Lutovac
Acknowledgment
Ljiljana Milic
Chapter 1
Ljiljana Milic
This chapter is a concise review of time-domain and transform-domain representations of single-rate discrete-time signals and systems. We consider... Sample PDF
Single-Rate Discrete-Time Signals and Systems: Background Review
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Chapter 2
Ljiljana Milic
Linear time-invariant systems operate at a single sampling rate i.e. the sampling rate is the same at the input and at the output of the system, and... Sample PDF
Basics to Multirate Systems
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Chapter 3
Ljiljana Milic
The role of filtering in sampling-rate conversion has been considered in Chapter II. The importance of filtering arises from the fact that the... Sample PDF
Filters in Multirate Systems
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Chapter 4
Ljiljana Milic
The role of filters in sampling-rate conversion process has been discussed in Chapters II and III. Filters are used to suppress aliasing in... Sample PDF
FIR Filters for Sampling Rate Conversion
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Chapter 5
Ljiljana Milic
Infinite impulse response (IIR) filters are used in applications where the computational efficiency is the highest priority. It is well known that... Sample PDF
IIR Filters to Sampling Rate Conversion
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Chapter 6
Ljiljana Milic
We have discussed so far the decimation and interpolation where the sampling rate conversion factor is an integer. However, the need for a... Sample PDF
Sampling Rate Converison by a Fractional Factor
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Chapter 7
Lth-Band Digital Filters  (pages 206-241)
Ljiljana Milic
Digital Lth-band FIR and IIR filters are the special classes of digital filters, which are of particular interest both in single-rate and multirate... Sample PDF
Lth-Band Digital Filters
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Chapter 8
Ljiljana Milic
Digital filters with complementary characteristics find many applications in practice. In this chapter, we concentrate on the properties and... Sample PDF
Complementary Filter Pairs
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Chapter 9
Ljiljana Milic
Digital filters with sharp transition bands are difficult, sometimes impossible, to be implemented using single-stage structures. A serious problem... Sample PDF
Multirate Techniques in Filter Design and Implementation
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Chapter 10
Ljiljana Milic
The initial concept of the frequency-response masking technique was introduced by Neuvo, Cheng-Yu and Mitra (1984). It was shown that the complexity... Sample PDF
Frequency-Reponse Masking Techniques
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Chapter 11
Ljiljana Milic
Comb filters are developed from the structures based on the moving average (boxcar) filter. The combbased filter has unity-valued coefficients and... Sample PDF
Comb-Based Filters for Sampling Rate Conversion
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Chapter 12
Ljiljana Milic
The purpose of this chapter is to illustrate by means of examples the construction of the analysis and synthesis filter banks with the use of FIR... Sample PDF
Examples of Multirate Filter Banks
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Appendix A
About the Author