Signal processor implementation of digital all-pass filters

Renfors, Markku; Zigouris, E.

doi:10.1109/29.1581

Cited by 26 publications

(16 citation statements)

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“…2 shows particular symmetric two-port adaptor structures that lead to the optimal scaling for a sinusoidal excitation according to the discussion in [3]. However, it has been shown in [17] that in some cases for the second-order wave-digital all-pass sections, as depicted in Fig. 2, the additional scaling factors and are required at the input and the output of the second adaptor, respectively, in order to achieve an optimal scaling.…”

Section: Coefficient Representation Forms Under Considerationmentioning

confidence: 95%

A Systematic Algorithm for the Design of Lattice Wave Digital Filters With Short-Coefficient Wordlength

Yli‐Kaakinen¹,

Saramäki

2007

IEEE Trans. Circuits Syst. I

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This paper describes an efficient algorithm for designing lattice wave digital (LWD) filters (parallel connections of two all-pass filters) with short-coefficient wordlength. The coefficient optimization is performed using the following three steps. First, an initial infinite-precision filter is designed such that it exceeds the given criteria in order to provide some tolerance for coefficient quantization. Second, a nonlinear optimization algorithm is used for determining a parameter space of the infinite-precision coefficients including the feasible space where the filter meets the given criteria. The third step involves finding the filter parameters in this space so that the resulting filter meets the given criteria with the simplest coefficient representation forms. The proposed algorithm guarantees that the optimum finite-precision solution can be found for both the fixed-point binary and multiplierless coefficient representation forms. In addition, this algorithm is applicable for producing the desired finite-precision solutions for both conventional and approximately linear-phase LWD filters. Comparisons with some other existing quantization schemes show that the proposed algorithm gives the best finite-precision solutions in all examples taken from the literature.Index Terms-Recursive digital filters, coefficient quantization, finite precision, multiplierless implementations, lattice wave digital (LWD) filters, optimization, parallel connection of all-pass filters, approximately linear-phase recursive filters, very large-scale integration (VLSI) implementations.

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Section: Coefficient Representation Forms Under Considerationmentioning

confidence: 95%

A Systematic Algorithm for the Design of Lattice Wave Digital Filters With Short-Coefficient Wordlength

Yli‐Kaakinen¹,

Saramäki

2007

IEEE Trans. Circuits Syst. I

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“…For many filters composed of allpass filters in parallel, the required coefficient wordlength decreases when the passband and stopband edges are closer to π/2 [11], [17]. As the model filters have a wider passband compared to the direct realization of the filter, we could expect the required coefficient wordlength to be lower for the model filter.…”

Section: Design Of K-stage Structurementioning

confidence: 99%

“…Wideband filters can be designed by utilizing the complement of the narrowband filter. This approach was introduced to decrease the complexity of finite impulse response (FIR) filters [13], [18] and later utilized to improve the maximal sample frequency for recursive filters, first with FIR filters as masking filters [3]- [5] and recently with recursive filters as masking filters [11], [17]. We refer to these types of filters as narrowband and wideband frequency masking filters.…”

Section: Introductionmentioning

confidence: 99%

Single Filter Frequency Masking High-Speed Recursive Digital Filters

Gustafsson

Johansson

Wanhammar

2003

Circuits Syst Signal Process

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For recursive filter 2 the maximal sample frequency is bounded by the recursive loops in the filter. In this work, a filter structure based on the use of the frequency masking approach is presented that increases the maximal sample frequency for narrowband and wideband filters by introducing more delay elements in the recursive loops. By using identical subfilters (except for the periods), the subfilters can be mapped using folding to a single pipeline/interleaved arithmetic structure yielding an area-efficient implementation. The filters are potentially suitable for low-power implementation by using power supply voltage scaling techniques. In this work, the design of the filters is discussed and estimations of the ripples are derived. Two examples show the viability of the proposed method.

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“…Figure 6 shows particular symmetric two-port adaptor structures that lead to the optimal scaling for a sinusoidal excitation according to the discussion in (Gazsi, 1985). However, it has been shown, based a further study performed in (Renfors & Zigouris, 1988), that in some cases for the second-order wave-digital all-pass sections, the additional scaling factors c and 1/c are required at the input and the output of the second adaptor, respectively, in order to achieve the optimal scaling. In order to keep the resulting second-order sections still all-pass, c must be a (positive or negative) power of two.…”

Section: Coefficient Representation Under Considerationmentioning

confidence: 99%