Academic literature on the topic 'Complex FIR and IIR filter design'

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Journal articles on the topic "Complex FIR and IIR filter design"

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Gryka, J., G. D. Cain, and I. Kale. "Complex IIR filter design through balanced model reduction of FIR prototypes." Electronics Letters 31, no. 16 (August 3, 1995): 1332–34. http://dx.doi.org/10.1049/el:19950896.

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Soo-Chang Pei and Huei-Shan Lin. "Tunable FIR and IIR Fractional-Delay Filter Design and Structure Based on Complex Cepstrum." IEEE Transactions on Circuits and Systems I: Regular Papers 56, no. 10 (October 2009): 2195–206. http://dx.doi.org/10.1109/tcsi.2009.2015212.

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Liao, Cai, Yi Mei Song, Wei Wei Yue, Dong Bo Zhou, and Dan Ping Liu. "Application of MATLAB in Digital Signal Processing." Advanced Materials Research 490-495 (March 2012): 182–85. http://dx.doi.org/10.4028/www.scientific.net/amr.490-495.182.

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The digital filter is one of the most significant applications of digital signal processing (DSP). The design process is very complex involving the model approximation, parameter selection, computer simulation and a series of work. This paper introduces an efficient design method for the digital filter (IIR and FIR) based on the Signal Processing Toolbox of MATLAB, which makes design easy, fast and greatly reduces the amount of design work, and then proves it by practical examples.
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Stamenkovic, Negovan, Dragana Zivaljevic, and Vidosav Stojanovic. "Scaling function based on Chinese remainder theorem applied to a recursive filter design." Serbian Journal of Electrical Engineering 11, no. 3 (2014): 365–77. http://dx.doi.org/10.2298/sjee140213026s.

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Implementation of IIR filters in residue number system (RNS) architecture is more complex in comparison to FIR filters, due to introduction of the scaling function. This function performs operation of division by a constant factor, which is usually the power of two, and after that the operation of rounding. In that way dynamic range reduction in digital systems is achieved. There are different methods for scaling operation implementation, already presented in references. In this paper, some RNS dynamic reduction techniques have been analyzed and then application of one selected technique has been presented on example. In all RNS calculations the power of two moduli set {2n-1, 2n, 2n+1} has been applied.
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Mewada, Hiren K., and Jitendra Chaudhari. "Low computation digital down converter using polyphase IIR filter." Circuit World 45, no. 3 (August 5, 2019): 169–78. http://dx.doi.org/10.1108/cw-02-2019-0015.

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Purpose The digital down converter (DDC) is a principal component in modern communication systems. The DDC process traditionally entails quadrature down conversion, bandwidth reducing filters and commensurate sample rate reduction. To avoid group delay, distortion linear phase FIR filters are used in the DDC. The filter performance specifications related to deep stopband attenuation, small in-band ripple and narrow transition bandwidth lead to filters with a large number of coefficients. To reduce the computational workload of the filtering process, filtering is often performed as a two-stage process, the first stage being a down sampling Hoegenauer (or cascade-integrated comb) filter and a reduced sample rate FIR filter. An alternative option is an M-Path polyphase partition of a band cantered FIR filter. Even though IIR filters offer reduced workload to implement a specific filtering task, the authors avoid using them because of their poor group delay characteristics. This paper aims to propose the design of M-path, approximately linear phase IIR filters as an alternative option to the M-path FIR filter. Design/methodology/approach Two filter designs are presented in the paper. The first approach uses linear phase IIR low pass structure to reduce the filter’s coefficient. Whereas the second approach uses multipath polyphase structure to design approximately linear phase IIR filter in DDC. Findings The authors have compared the performance and workload of the proposed polyphase structured IIR filters with state-of-the-art filter design used in DDC. The proposed design is seen to satisfy tight design specification with a significant reduction in arithmetic operations and required power consumption. Originality/value The proposed design is an alternate solution to the M-path polyphase FIR filter offering very less number of coefficients in the filter design. Proposed DDC using polyphase structured IIR filter satisfies the requirement of linear phase with the least number of computation cost in comparison with other DDC structure.
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Caroline, Caroline, Nabila Husna Shabrina, Melania Regina Ao, Nadya Laurencya, and Vanessa Lee. "Analisis Aplikasi Filter FIR dan Filter IIR dalam Pra-pemrosesan Sinyal Elektroensefalografi." Ultima Computing : Jurnal Sistem Komputer 12, no. 1 (July 2, 2020): 40–48. http://dx.doi.org/10.31937/sk.v12i1.1621.

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Abstract – Electroencephalography (EEG) is a method used to analyze brain activities, detect abnormalities in brain, and diagnose brain-related disease. To extract information from EEG signal, preprocessing steps such as Fast Fourier Transform (FFT), filter, and wavelet decomposition will be needed. This paper primarily focuses on implementation of Finite Impulse Response (FIR) and Infinite Impulse Response (IIR) filter design in EEG signal preprocessing in MATLAB software. The result of the simulation indicates that each filter design implemented in EEG preprocessing has different performance and side effect toward signal processing parameters such as phase distortion, amplitude ratio, and processing time. Filter design type implementation also affect power and entropy calculation result. Keywords – EEG, FIR filter digital, IIR filter digital, Wavelet Decomposition, GUI-MATLAB
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Hon Keung Kwan and A. Jiang. "FIR, Allpass, and IIR Variable Fractional Delay Digital Filter Design." IEEE Transactions on Circuits and Systems I: Regular Papers 56, no. 9 (September 2009): 2064–74. http://dx.doi.org/10.1109/tcsi.2008.2011590.

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Nilsson, Peter. "Architectures and Arithmetic for Low Static Power Consumption in Nanoscale CMOS." VLSI Design 2009 (January 17, 2009): 1–10. http://dx.doi.org/10.1155/2009/749272.

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This paper focuses on leakage reduction at architecture and arithmetic level. A methodology for considerable reduction of the static power consumption is shown. Simulations are done in a typical 130 nm CMOS technology. Based on the simulation results, the static power consumption is estimated and compared for different filter architectures. Substantial power reductions are shown in both FIR-filters and IIR-filters. Three different types of architectures, namely, bit-parallel, digit-serial, and bit-serial structures are used to demonstrate the methodology. The paper also shows that the relative power ratio is strongly dependent on the used word length; that is, the gain in power ratio is larger for longer word lengths. A static power ratio at 0.48 is shown for the bit-serial FIR-filter and a power ratio at 0.11 is shown in the arithmetic part of the FIR-filter. The static power ratio in the IIR-filter is 0.36 in the bit-serial filter and 0.06 in the arithmetic part of the filter. It is also shown that the use of storage, such as registers, relatively the arithmetic part, affects the power ratio. The relatively lower power consumption in the IIR-filter compared to the FIR-filter is due to the lower use of registers.
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Thomas Safina, W. Ann. "Design and Quantization of FIR and IIR Filter for OFDM Signal." International Journal for Research in Applied Science and Engineering Technology V, no. IV (April 30, 2017): 1251–57. http://dx.doi.org/10.22214/ijraset.2017.4223.

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Argenti, F., and E. Del Re. "Design of biorthogonal M-channel cosine-modulated FIR/IIR filter banks." IEEE Transactions on Signal Processing 48, no. 3 (March 2000): 876–81. http://dx.doi.org/10.1109/78.824684.

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Dissertations / Theses on the topic "Complex FIR and IIR filter design"

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Sun, Yi-Ran. "Generalized Bandpass Sampling Receivers for Software Defined Radio." Doctoral thesis, Stockholm, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4009.

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Wu, Mau-Lin, and 吳茂霖. "FIR and IIR Digital Filter Design by Remez Exchange Algorithm." Thesis, 1996. http://ndltd.ncl.edu.tw/handle/62216325405190209169.

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碩士
國立臺灣大學
電機工程研究所
84
There are many algorithms for designing digital FIR and IIR filters. Among them, Remez exchange algorithm and the second Remez exchange algorithm are the most efficient methods for designing optimal digital filters. The characteristics of this algorithm are fast convergent speed, low computation complexity and with fast computation algorithm. Remez exchange algorithm has been famous for its application to design of optimal linear- phase FIR filter and we extend its application to designs of log FIR and log IIR filters, IIR filter and Complex FIR filter. The difficulty encountered in the algorithm is that the approximation equations are nonlinear equations but not traditional linear ones. It requires some linearization technique for solving the filter's coefficients in the approximation equations. We solve this problem by taking the Taylor's expansion in this paper. Some examples are proposed to prove that this method is very efficient. There had been many methods applied to design FIR and IIR filters similar to this paper. Several examples are illustrated for comparisons with other algorithms and it is recognized that the proposed algorithm in this paper is better than others.
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Chen, Hung-Chi, and 陳鴻基. "Optimal Design of FIR and IIR Digital Filter Banks with Signed Power of Two coefficients." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/12520157087976390843.

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碩士
國立臺灣大學
電機工程學研究所
95
Quadrature Mirror Filter banks is widely used in multirate system. It can divid input signal into several subband signals. Owing to human sense, like sense of hearing , sense of sight, is not uniformly distributed in frequency, Non-uniform Division Filter banks is even more important than QMF in some aspects. In this thesis, we focus on both structure of filter banks. CORDIC algorithm is an approach to perform angle quantization. It can quantize coefficients in angle space which is denser than coefficient space. Besides, coefficients quantized by CORDIC algorithm can be represented in signed power of two form. In addition, the algorithm can be realized high speed and low complexity VLSI circuits, without using multiplier, need only shifter, multiplexer and adder. For these reasons, we propose CORDIC algorithm for optimal design. We also combine WLS algorithm and CORDIC algorithm or use genetic algorithm based on CORDIC algorithm. The results designed by these kinds of algorithm approximate to the results designed by continuous coefficient algorithm. Some design parameters are even better than later. We prove these algorithm which is worthy for further application.
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Kumar, Vinay. "POLYNOMIAL BASED RECURSIVE AND NON RECURSIVE FILTER DESIGN." Phd thesis, 2009. http://tel.archives-ouvertes.fr/tel-00371385.

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In this dissertation, several algorithms to design linear phase Finite Impulse Response (FIR) and Infinite Impulse Response (IIR) filters have been discussed.
Contrary to various already existing standard algorithms,the proposed methods approximate magnitude and phase characteristics simultaneously. The basic mechanism used in this study is polynomial based design of digital filters. We have used several already existing polynomials; e.g., Chebyshev polynomials, Legendre polynomials, to develop linear phase digital filters and developed some two dimensional polynomials following orthogonal properties to design digital filters for image processing, their design methodology have also been discussed.
Filters of proposed type can be used for applications where exact linear phase is required. Another application of this type of filters is the design of filters with zero group delay. IIR filters are designed with absolute linear phase and zero group delay.
The algorithms proposed in the present thesis allow user to design filters with his set of constraints, which is required in practical filter design problems. Very narrow band 1D and 2D linear phase FIR filters can easily be designed by the proposed methodology. The IIR filters proposed provide the guarantee to result in a stable filter.
All the algorithms have been discussed stepwise to make sure that any one with basic programming capability can easily design them. We have not used any standard routine of any particular platform, therefore any freely available programming platform (like C, C++, Scilab, Octave, etc.) can be used to design these filters.
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Lin, Yu-Wei, and 林煜偉. "Design of Variable FIR Filters and IIR All-Pass Filters and Filter Banks with Discrete Coefficients." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/20542395782371250093.

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碩士
國立臺灣大學
電信工程學研究所
92
In this thesis, we consider three kinds of digital filters with filter coefficients taking on -1, 0, +1 only. One is variable fractional delay FIR filter and the others are IIR allpass filter and filter banks. We design these two kinds of digital filters with continuous coefficients using WLS algorithm and Karmarkar algorithm, in minmax criteria methods are proposed.. When we implement a filter of conventional structure, we always need multibit multipliers. But the circuit complexity and high cost of multibit multipliers always confuse us. Thus, we adopt a new filter structure [25] whose main part consists of a transversal filter with tap coefficients restricted to -1, 0, +1 only and cascaded with an appropriate recursive network with some specific resetting function. Therefore, it is not necessary for transversal filter to use multipliers; the adopted configuration is suitable for hardware implementation. We apply the new structure to the design of the digital filter we discuss above. In this thesis, we design variable delay FIR filter, IIR allpass filter, and IIR filter banks. The design examples are demonstrated to illustrate the effectiveness of the new structure.
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Lin, Chih-Hsin, and 林志新. "The Design of 3-D Perfect Reconstruction Filter Banks, Digital All-Pass Filters, and Complex FIR Digital Filters." Thesis, 1999. http://ndltd.ncl.edu.tw/handle/22345458364143107720.

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碩士
國立臺灣科技大學
電子工程系
87
This thesis presents several novel and efficient techniques for designing three-dimensional (3-D) perfect reconstruction (PR) filter banks, FIR digital all-pass filters, and complex FIR digital filters in minimax sense. The proposed approaches are developed based on the affine and dual affine scaling variants of Karmarkar's algorithm. As for the 3-D perfect reconstruction digital filter banks, two novel techniques are proposed for designing PR filter banks with FIR analysis and synthesis filters having linear phase responses. The designed analysis and synthesis filters are in the minimax sense subject to the perfect reconstruction constraints. With regard to the design of FIR digital all-pass filters, we propose design techniques via minimizing the peak magnitude error and peak phase error simultaneously or minimizing the peak magnitude error and peak group delay error simultaneously. The filter coefficients are obtained by an affine scaling variant of Karmarkar's algorithm. For designing complex FIR digital filters, the original complex approximation is divided into two real ones first. Then the affine scaling variant of Karmarkar's algorithm is also applied to minimize the real part and imaginary part error in minimax sense to get the complex impulse response coefficients. From the simulation examples demonstrated in each chapter of this thesis, the effectiveness of the proposed design techniques for each considered problem can be confirmed.
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Ahmad, Sabbir U. "Design of digital filters using genetic algorithms." Thesis, 2008. http://hdl.handle.net/1828/1294.

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In recent years, genetic algorithms (GAs) began to be used in many disciplines such as pattern recognition, robotics, biology, and medicine to name just a few. GAs are based on Darwin's principle of natural selection which happens to be a slow process and, as a result, these algorithms tend to require a large amount of computation. However, they offer certain advantages as well over classical gradient-based optimization algorithms such as steepest-descent and Newton-type algorithms. For example, having located local suboptimal solutions they can discard them in favor of more promising local solutions and, therefore, they are more likely to obtain better solutions in multimodal problems. By contrast, classical optimization algorithms though very efficient, they are not equipped to discard inferior local solutions in favour of more optimal ones. This dissertation is concerned with the design of several types of digital filters by using GAs as detailed bellow. In Chap. 2, two approaches for the design of fractional delay (FD) filters based on a GA are developed. The approaches exploit the advantages of a global search technique to determine the coefficients of FD FIR and allpass-IIR filters based on the so-called Farrow structure. The GA approach was compared with a least-squares approach and was found to lead to improvements in the amplitude response and/or delay characteristic. In Chap. 3, a GA-based approach is developed for the design of delay equalizers. In this approach, the equalizer coefficients are optimized using an objective function based on the passband filter-equalizer group delay. The required equalizer is built by adding new second-order sections until the desired accuracy in terms of the flatness of the group delay with respect to the passband is achieved. With this approach stable delay equalizers satisfying arbitrary prescribed specifications with the desired degree of group-delay flatness can easily be obtained. In Chap. 4, a GA-based approach for the design of multiplierless FIR filters is developed. A recently-introduced GA, called orthogonal GA (OGA) based on the so-called experimental design technique, is exploited to obtain fixed-point implementations of linear-phase FIR filters. In this approach, the effects of finite word length are minimized by considering the filter as a cascade of two sections. The OGA leads to an improved amplitude response relative to that of an equivalent direct-form cascade filter obtained using the Remez exchange algorithm. In Chap. 5, a multiobjective GA for the design of asymmetric FIR filters is proposed. This GA uses a specially tailored elitist nondominated sorting GA (ENSGA) to obtain so-called Pareto-optimal solutions for the problem at hand. Flexibility is introduced in the design by imposing phase-response linearity only in the passband instead of the entire baseband as in conventional designs. Three objective functions based on the amplitude-response error and the flatness of the group-delay characteristic are explored in the design examples considered. When compared with a WLS design method, the ENSGA was found to lead to improvements in the amplitude response and passband group-delay characteristic. In Chap. 6, a hybrid approach for the design of IIR filters using a GA along with a quasi-Newton (QN) algorithm is developed. The hybrid algorithm, referenced to as the genetic quasi-Newton (GQN) algorithm combines the flexibility and reliability inherent in the GA with the fast convergence and precision of the QN algorithm. The GA is used as a global search tool to explore different regions in the parameter space whereas the QN algorithm exploits the efficiency of a gradient-based algorithm in locating local solutions. The GQN algorithm works well with an arbitrary random initialization and filters that would satisfy prescribed amplitude-response specifications can easily be designed
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Books on the topic "Complex FIR and IIR filter design"

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Fancourt, Daisy. Arts in Health. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198792079.001.0001.

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Arts in Health: Designing and Researching Interventions provides a complete overview of how to go about undertaking research and practice in the field of arts in health. Part I explores the context for arts in health interventions, including the history of the use of arts in health and the theoretical and political developments that have laid the foundations for its flourishing. It also considers what ‘arts in health’ encompasses and the range of disciplines involved. Part II examines how to design an arts in health intervention, develop partnerships, and find funding, and considers the sensitivities around working in health care. Part III considers the value of research for the field of arts in health and how to design and undertake a research project. Finally, Part IV provides a fact file of arts in health research and practice, showing how the arts can be applied and the benefits they can bring across a range of medical disciplines. The title is aimed at researchers, practitioners, healthcare professionals, and those interested in learning more about the field.
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Book chapters on the topic "Complex FIR and IIR filter design"

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Alammari, K., A. Sasi, M. Ahmadi, A. Ahmadi, and M. Saif. "Hybrid Memristor-CMOS Based FIR Filter Design." In Chaos and Complex Systems, 91–99. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-35441-1_10.

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Lei, Chi-Un, Chung-Man Cheung, Hing-Kit Kwan, and Ngai Wong. "Efficient Design of Arbitrary Complex Response Continuous-Time IIR Filter." In Lecture Notes in Electrical Engineering, 163–76. Dordrecht: Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-1-4020-9532-0_13.

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Milic, Ljiljana. "Frequency-Reponse Masking Techniques." In Multirate Filtering for Digital Signal Processing, 295–315. IGI Global, 2009. http://dx.doi.org/10.4018/978-1-60566-178-0.ch010.

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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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Milic, Ljiljana. "Complementary Filter Pairs." In Multirate Filtering for Digital Signal Processing, 242–73. IGI Global, 2009. http://dx.doi.org/10.4018/978-1-60566-178-0.ch008.

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Digital filters with complementary characteristics find many applications in practice. In this chapter, we concentrate on the properties and construction of complementary filters and filter pairs. An important application of complementary property is deriving a new transfer function from the existing one. A highpass filter can be obtained as a complement of the lowpass filter, and also a bandstop filter can be considered as a complement of the bandpass filter. Complementary lowpass/highpass and bandpass/bandstop filter pairs are popular because of very attractive implementations. Namely, the two complementary filters in the pair are implemented at the cost of a single one. Complementary filter pairs, usually lowpass/highpass filter pairs, are widely used whenever there is a need to split the signal into two adjacent subbands and reconstruct it after some processing performed in the subbands. They are used as basic building blocks in constructing analysis and synthesis multichannel filter banks. Moreover, the complementary filter pairs are used in constructing low sensitivity complex filtering structures. In some applications, such as signal analysis, the complementary filter pairs are used to separate a signal into two bands, and the filtered signals are processed without need to reconstruct it. Another application is digital audio where the signal is separated into two (three) bands resulting in the signals that are feed inside two (three) loudspeakers. In this chapter, at the beginning we introduce the basic definitions of the complementary properties that will be used through the chapter. We use then the complementary properties to construct FIR and IIR highpass filters from the existing lowpass filters. In the sequel, we consider the analysis and synthesis filter pairs. We present the design and efficient implementations of FIR and IIR complementary filter pairs. Chapter concludes with MATLAB Exercises for individual study.
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Lazzarini, Victor. "The Spectra of Filters." In Spectral Music Design, 204–68. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780197524015.003.0007.

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This chapter now turns to the discussion of filters, which extend the notion of spectrum beyond signals into the processes themselves. A gentle introduction to the concept of delaying signals, aided by yet another variant of the Fourier transform, the discrete-time Fourier transform, allows the operation of filters to be dissected. Another analysis tool, in the form of the z-transform, is brought to the fore as a complex-valued version of the discrete-time Fourier transform. A study of the characteristics of filters, introducing the notion of zeros and poles, as well as finite impulse response (FIR) and infinite impulse response (IIR) forms, composes the main body of the text. This is complemented by a discussion of filter design and applications, including ideas related to time-varying filters. The chapter conclusion expands once more the definition of spectrum.
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Milic, Ljiljana. "Multirate Techniques in Filter Design and Implementation." In Multirate Filtering for Digital Signal Processing, 274–94. IGI Global, 2009. http://dx.doi.org/10.4018/978-1-60566-178-0.ch009.

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Digital filters with sharp transition bands are difficult, sometimes impossible, to be implemented using single-stage structures. A serious problem with a single-stage sharp FIR filter is its complexity. The FIR filter length is inversely proportional to the transition–width and complexity becomes prohibitively high for sharp filters, (Lim, 1986). IIR filters with sharp transition bands suffer from extremely high sensitivities of transfer function poles. In many practical cases, the multirate approach is the promising solution that could be applied for implementation of a sharp FIR or IIR filter. In this chapter, we present two methods for designing filters having narrow transition bandwidths: multistage filtering suitable for narrowband filters, and the method based on multirate and complementary filtering, which may be used for filters of arbitrary bandwidths.
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Milic, Ljiljana D., and Miroslav D. Lutovac. "Efficient Multirate Filtering." In Multirate Systems, 105–42. IGI Global, 2002. http://dx.doi.org/10.4018/978-1-930708-30-3.ch004.

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Application of multirate techniques to improve digital filter design and implementation are considered in this chapter. FIR and IIR filter design and implementation for sampling rate conversion by integer and rational factors are presented. Sharp narrow-band and wide-band multirate design techniques are discussed. Accurate designs of FIR and IIR half-band filters are described in detail. Several examples are provided to illustrate the multirate approach to filter design.
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Milic, Ljiljana. "Lth-Band Digital Filters." In Multirate Filtering for Digital Signal Processing, 206–41. IGI Global, 2009. http://dx.doi.org/10.4018/978-1-60566-178-0.ch007.

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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 signal processing. The common characteristic of Lth-band lowpass filters is that the 6 dB (or 3 dB) cutoff angular frequency is located at p/L, and the transition band is approximately symmetric around this frequency. In time domain, the impulse response of an Lth-band digital filter has zero valued samples at the multiples of L samples counted away from the central sample to the right and left directions. Actually, an Lth-band filter has the zero crossings at the regular distance of L samples thus satisfying the so-called zero intersymbol interference property. Sometimes the Lthband filters are called the Nyquist filters. The important benefit in applying Lth band FIR and IIR filters is the efficient implementation, particularly in the case L = 2 when every second coefficient in the transfer function is zero valued. Due to the zero intersymbol interference property, the Lth-band filters are very important for digital communication transmission systems. Another application is the construction of Hilbert transformers, which are used to generate the analytical signals. The Lth-band filters are also used as prototypes in constructing critically sampled multichannel filter banks. They are very popular in the sampling rate alteration systems as well, where they are used as decimation and interpolation filters in single-stage and multistage systems. This chapter starts with the linear-phase Lth-band FIR filters. We introduce the main definitions and present by means of examples the efficient polyphase implementation of the Lth-band FIR filters. We discuss the properties of the separable (factorizable) linear-phase FIR filter transfer function, and construct the minimum-phase and the maximum-phase FIR transfer functions. In sequel, we present the design and efficient implementation of the halfband FIR filters (L = 2). The class of IIR Lth-band and halfband filters is presented next. Particular attention is addressed to the design and implementation of IIR halfband filters. Chapter concludes with several MATLAB exercises for self study.
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Johansson, Hakan, and Lars Wanhammar. "Design and Implementation of Multirate Digital Filters." In Multirate Systems, 257–92. IGI Global, 2002. http://dx.doi.org/10.4018/978-1-930708-30-3.ch009.

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In this chapter we discuss techniques to design and implement multirate digital filters with low power consumption which also allow a reduction in the design effort, since the resulting circuits are highly modular and regular and can relatively easily be incorporated in the normal design flow of commercial tools. First we briefly review techniques that can be applied at various design levels, i.e., from algorithm level down to layout, to reduce the power consumption in CMOS implementations of both digital FIR and IIR filters and are useful in many other DSP algorithms. Second, we discuss the properties of lattice wave digital filters and various techniques to design efficient multirate digital filters for changing the sampling rate by a factor of two. Third, we discuss the design of multistage multirate digital FIR filter structures for arbitrary bandwidths. Finally, we provide some design examples.
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Romero, David Ernesto Troncoso, and Gordana Jovanovic Dolecek. "Novel Methods to Design Low-Complexity Digital Finite Impulse Response (FIR) Filters." In Encyclopedia of Information Science and Technology, Fourth Edition, 6234–44. IGI Global, 2018. http://dx.doi.org/10.4018/978-1-5225-2255-3.ch542.

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Digital filters play a central role in modern Digital Signal Processing (DSP) systems. Finite Impulse Response (FIR) filters can provide solutions with guaranteed stability and linear phase. However, the main disadvantage of conventional FIR filter designs is that they become computationally complex, especially in applications demanding narrow transition bandwidths. Therefore, designing FIR filters with very stringent specifications and a low complexity is currently an important challenge. In this chapter, a review of the recent methods to efficiently design low-complexity linear-phase FIR filters is presented. The chapter starts with an introduction to linear-phase FIR digital filters. Then, an overview of the design methods that have been developed in literature to design low-complexity FIR filters is presented. Finally, the most common and recent of these methods along with their corresponding special structures are explained.
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Conference papers on the topic "Complex FIR and IIR filter design"

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Kennedy, Hugh L. "Optimal Design of Digital IIR and FIR Filters Using Complex Flatness Constraints: A Unified Approach." In 2016 International Conference on Digital Image Computing: Techniques and Applications (DICTA). IEEE, 2016. http://dx.doi.org/10.1109/dicta.2016.7797070.

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Tokhi, M. O., M. S. Alam, and F. M. Aldebrez. "Adaptive IIR Filtering Techniques for Dynamic Modeling of a Twin Rotor System." In ASME 7th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2004. http://dx.doi.org/10.1115/esda2004-58237.

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This paper investigates the development of a parametric model to characterise pitch movement in a twin rotor multi-input multi-output system (TRMS) using adaptive infinite impulse response (IIR) models. The TRMS is a laboratory platform designed for control experiments. In certain aspects, its behaviour resembles that of a helicopter. It typifies a high-order nonlinear system with significant cross coupling between its two channels. It also simulates similar problems and challenges encountered in real systems. These include complex dynamics that lead to both parametric and dynamic uncertainty, unmeasurable states and sensor and actuator noise. In this work, adaptive IIR filtering techniques using least mean square (LMS) and recursive least square (RLS) algorithms are investigated for dynamic modelling of the system. The system is initially excited with random gaussian sequence input signal of sufficient bandwidth (0–10Hz) to ensure that all resonance modes of interest are captured. The magnitude of the input signal is selected so that it does not drive the system out of its linear operating range. Good excitation is achieved from 0–2.5 Hz, which includes all the important rigid body and flexible modes. Then, adaptive IIR filters based on equation error formulation are used for modelling the system. Three standard algorithms; namely, LMS, normalized LMS and RLS are utilized as learning algorithms, to update the parameters of the filter during the modelling process. A comparative assessment of the three learning algorithms, in characterising the system, is conducted. The performance of each model is assessed in terms of output tracking, minimization of the mean-square error, stability and algorithm convergence.
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Sun, Yi-Ran, and Svante Signell. "Implementation of generalized uniform Bandpass Sampling with complex FIR and IIR Filtering." In 2007 European Conference on Circuit Theory and Design (ECCTD 2007). IEEE, 2007. http://dx.doi.org/10.1109/ecctd.2007.4529636.

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Konopacki, Jacek, and Katarzyna Moscinska. "Linear-phase IIR filter design based on FIR prototype with prescribed group delay." In 2014 21st International Conference "Mixed Design of Integrated Circuits & Systems" (MIXDES). IEEE, 2014. http://dx.doi.org/10.1109/mixdes.2014.6872241.

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Chitgarha, Mohammad Reza, Salman Khaleghi, Omer F. Yilmaz, Moshe Tur, Michael W. Haney, and Alan E. Willner. "Tunable Complex-Weight All-Optical IIR Filter Design based on Conversion/Dispersion Delays." In CLEO: Science and Innovations. Washington, D.C.: OSA, 2012. http://dx.doi.org/10.1364/cleo_si.2012.cf2i.4.

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Mousa, W. A., S. Boussakta, and D. McLernon. "Complex-valued FIR seismic migration filter design using vector space projection methods." In rnational Conference on Image Processing. IEEE, 2005. http://dx.doi.org/10.1109/icip.2005.1530023.

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Calvagno, G., G. M. Cortelazzo, and G. A. Mian. "A comparison between complex approximation and multiple criterion optimization in FIR filter design." In [Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing. IEEE, 1991. http://dx.doi.org/10.1109/icassp.1991.150792.

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Thakur, Anjali Singh, and Vibha Tiwari. "Design High Speed FIR Filter based on Complex Vedic Multiplier using CBL Adder." In 2018 International Conference on Recent Innovations in Electrical, Electronics & Communication Engineering (ICRIEECE). IEEE, 2018. http://dx.doi.org/10.1109/icrieece44171.2018.9008438.

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Zhou, Shiying, and Masayoshi Tomizuka. "Vibration Suppression Based on Adaptive Feedforward Control With Infinite Impulse Response Filter." In ASME 2015 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/dscc2015-9752.

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This paper presents adaptive feedforward control for vibration suppression based on an infinite impulse response (IIR) filter structure. The vibration signal and the output signal are available for the algorithm to adaptively update the parameters of the vibration transmission path (VTP) dynamics. Two designs for parameter adaptation are proposed. They provide different methods to get the necessary signals for parameter adaptation of the IIR filter which is different from the conventional finite impulse response (FIR) filter adaptation design. Performance of the proposed designs is compared with the conventional Filtered-x Least Mean Square (FxLMS) method on a hard disk drive (HDD) benchmark problem. The simulation results show that the proposed designs have smaller 3σ value and peak to peak value at steady state.
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Goh, H. J., M. Damodaran, and Q. Y. Ng. "Modeling Airflow and Particle Trajectories Near the Head/Disk Interface Region of a Small Form Factor Hard Disk Drive Enclosure." In World Tribology Congress III. ASMEDC, 2005. http://dx.doi.org/10.1115/wtc2005-63633.

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Airflow characteristics and particle trajectories inside a small form factor hard disk drive (HDD) enclosure is modeled by creating a complex unstructured mesh around the various geometrical artifacts in the HDD enclosure using a commercial flow-solver which solves the incompressible Navier-Stokes Equations. From this model insight on the airflow characteristics in the vicinity of the slider could be obtained. The effect of the read/write head on the global flow field is also addressed for typical disk operation conditions. The computed airflow patterns are then used to predict particle trajectories in the vicinity of head/disk interface (HDI), the knowledge of which has relevance for tribological aspects connected with the HDI region. The effects of gravity and thermal gradients on the airflow characteristics within the HDD enclosure are also considered. Knowledge of particle trajectories and interaction provide useful guidelines for HDD design and filter locations. Depending on the types of particles, these are likely to be subjected to gravitational and thermophoretic forces, or inter particle interactions. Particles of different materials and sizes are used to evaluate the effects of these forces, which influence the particle trajectories.
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