Linear Programming Design of Coefficient Decimation FIR Filters

Sheikh, Zaka Ullah; Gustafsson, Oscar

doi:10.1109/tcsii.2011.2173965

Cited by 8 publications

(8 citation statements)

References 18 publications

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“…This basic idea is motivated by [7] that taking all desired modes into consideration can give better results for the design of reconfigurable coefficient decimation FIR filters. However, as the cascade structure of the FRM filters, linear programming (LP) used in [7] will not be appropriate for the optimal design of the FRM based reconfigurable filter banks. Alternatively, we formulate the optimal design of the FRM based reconfigurable filter banks as an SDP problem.…”

Section: Our Proposed Methodsmentioning

confidence: 99%

“…It has been demonstrated that, for the design of reconfigurable coefficient decimation FIR filters, taking all reconfiguration modes into consideration can give better results [7]. However, as the cascade structure of the FRM filter, linear programming (LP) used in [7] will not be appropriate for the optimal design of the FRM based reconfigurable filter banks. In earlier works, semidefinite programming (SDP) [8] has been employed for the optimal design of basic single mode FRM filter [9].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Design of Frequency Response Masking Based Reconfigurable Filter Banks for Software Radio Channelization Using Semidefinite Programming

Chen¹,

Xu²,

Zhao

et al. 2014

Proceedings of the 3rd International Conference on Computer Science and Service System

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Abstract-A new reconfigurable filter bank architecture based on frequency response masking (FRM) was recently proposed for software defined radio (SDR) channelization. However, in previous works all the subfilters were designed separately, which makes the solutions suboptimal. In this paper, we propose an improved design method, which takes all desired reconfiguration modes into consideration. The proposed method takes two steps: firstly an initial solution is obtained by separately designing all the subfilters as in previous works, and then the initial solution is updated by iteratively solving a semidefinite programming (SDP) problem. Simulation results demonstrate that the proposed method offers significantly lower approximation errors compared to the conventional design method.Keywords-Frequency response masking (FRM); software radio channelization; reconfigurable filter banks; semidefinite programming (SDP).

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Section: Our Proposed Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Design of Frequency Response Masking Based Reconfigurable Filter Banks for Software Radio Channelization Using Semidefinite Programming

Chen¹,

Xu²,

Zhao

et al. 2014

Proceedings of the 3rd International Conference on Computer Science and Service System

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“…Based on the degree of control over the cutoff frequency they offer, the VCF filters can be categorized as the VCF filters with discrete control over the cutoff frequency (variable-coefficient filters [4][5][6][7][8][9][10][11][12][13][14], coefficient decimation based filters [15][16][17][18][19], frequency response masking based filters [20][21][22][23][24][25]) and the VCF filters with continuous control over the cutoff frequency (all-pass transformation based filters [26][27][28][29], fractional delay structure based filters [30][31][32], frequency transformation based filters [33][34][35][36][37], SPA based filters [38][39][40][41][42][43][44][45][46][47][48][49][50]…”

Section: Fixed-coefficient Vcf Filtersmentioning

confidence: 99%

Variable cutoff frequency FIR filters: a survey

et al. 2020

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Many signal processing applications require digital filters with variable frequency characteristics, especially the filters with variable bandwidth. Due to their linear phase and inherent stability, variable bandwidth finite impulse response (FIR) filters are the popular choice in majority of the applications. Once a variable cutoff frequency (VCF) FIR lowpass filter is designed, variable bandwidth bandpass / highpass / bandstop filters and reconfigurable filter banks can be realized from the same. In this paper, we present a comprehensive review of the existing variable cutoff frequency FIR filter design techniques, including the developments in the recent two decades. We provide the basic concepts, design and architectural details for each of these techniques and the major developments / incremental works thereof. Qualitative as well as quantitative comparisons are provided to assist the reader in choosing the most suitable VCF filter design technique for a particular application. Keywords FIR filters, reconfigurable filters, variable digital filters IntroductionCompared to analog filters, digital filters have advantage of higher accuracy, exact linear-phase (if desired), time-invariant performance (analog filter performance changes due to component drift), relatively smaller silicon area etc. These advantages, coupled with the advent of VLSI technology, have resulted in ubiquitous presence of digital filters in almost all the signal processing applications with a few exceptions (such as wideband filtering in radio frequency range, which is not feasible due to the bottleneck at the speed of analog-to-digital converters).Digital filters with variable frequency response characteristics are required for numerous critical applications in the fields of digital communications, audio signal processing, biomedical signal processing etc. [1,2]. In digital communications domain alone, digital filters with variable frequency response characteristics can be used for spectrum analysis, spectrum shaping, channelization, and receiver synchronization. For e.g., a digital filter having tuneable passband and transition bandwidths is used for channel extraction in a multi-standard wireless communication receiver, as it needs to be interoperable with multiple communication standards having distinct bandwidth specifications. Alternatively, a digital modem uses a digital filter to implement variable fractional delays. In general, a digital filter whose frequency response can be changed on-the-fly is called a variable digital filter. Even though such a definition means that all the parameters related to the frequency response should be variable, in practice, majority of the applications demand only a lowpass filter with variable cutoff frequency (fc), satisfying the desired minimum specifications of transition bandwidth (tbw), passband ripple (δp) and stopband ripple (δs). Therefore, the VCF (variable cutoff frequency) filter design task can be simplified further, by specifying the maximum limit on tbw, δp, and δs, and thus, only one...

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“…This optimization based technique considered the required decimation factors beforehand to generate additional constraints for the prototype filter design, unlike the conventional technique which uses just the basic filter design specifications to obtain the prototype filter coefficients. As a result, the prototype filters obtained using the optimization technique proposed in [103] showed better stopband attenuation…”

Section: Development Of Spectrum Sensing Schemes Using Proposed Variamentioning

confidence: 97%

“…It can be noted that the conventional CDM and the various CDM based VDFs and filter banks also faces the same stopband attenuation deterioration problem. To address this problem in the CDM, a linear programming based filter design technique was proposed in [103]. This optimization based technique considered the required decimation factors beforehand to generate additional constraints for the prototype filter design, unlike the conventional technique which uses just the basic filter design specifications to obtain the prototype filter coefficients.…”

Section: Development Of Spectrum Sensing Schemes Using Proposed Variamentioning

confidence: 99%

Design of low complexity variable digital filters and filter banks for software defined radio receivers

Ambede¹

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To seamlessly support the existing and upcoming wireless communication standards, the software defined radio (SDR) has been proposed as a solution. SDRs can process signals of different wireless communication standards by software reconfiguration of the same transceiver architecture, thereby reducing hardware resource utilization and associated costs. To perform multi-standard channelization, i.e., extraction of desired radio channels (frequency bands) from a wideband input signal, SDR receivers typically employ variable digital filters (VDFs) and filter banks that provide variable frequency responses by controlling a small set of parameters. VDFs and filter banks are also used in SDR based cognitive radios (CRs) to perform spectrum sensing (detection of presence/ absence of licensed user signals in a wideband input frequency range) for dynamic spectrum access, to achieve opportunistic and efficient usage of the radio frequency spectrum. Realizing such VDFs and filter banks which showcase the desired attributes of high frequency response flexibility and low implementation complexity is a challenging task. To address this challenge, new algorithms and various architectures for designing VDFs and filter banks have been proposed in this thesis. The first work presents design techniques to obtain variable frequency responses using the same set of prototype filter coefficients, along with the corresponding mathematical formulations. Two techniques are proposeda modified coefficient decimation method (MCDM) and the improved coefficient decimation method (ICDM), the latter being a combination of the proposed MCDM and the conventional coefficient decimation method (CDM). Both the proposed techniques, i.e., MCDM and ICDM, involve selective usage of filter coefficients by performing operations such as replacing them by zeros and retaining/ discarding them appropriately to obtain variable frequency responses. The ICDM is categorized into ICDM-I and ICDM-II, each comprising of two distinct coefficient decimation operations. The ICDM provides discrete control over the bandwidths and center frequencies of the subbands in the obtained frequency responses. iv The second work presents the design of VDFs which can be used for channelization in SDR receivers. Three such VDFs, one each based on ICDM-I, ICDM-II and comprehensive ICDM are proposed and analysed. The comprehensive ICDM based VDF involves both ICDM-I and ICDM-II operations and features their constituent advantages while minimizing the effects of their individual limitations. The comprehensive ICDM based VDF can provide variable lowpass, highpass, bandpass, bandstop and multi-band frequency responses on-the-fly, by performing appropriate ICDM operations on the same set of prototype filter coefficients. Similar to the design of VDFs based on ICDM-I, ICDM-II and comprehensive ICDM, the third work presents design of filter banks based on these three techniques. While the ICDM-I based filter bank can only be used for uniform channelization, the ICDM-II and comprehensive ICDM ...

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Linear Programming Design of Coefficient Decimation FIR Filters

Cited by 8 publications

References 18 publications

Design of Frequency Response Masking Based Reconfigurable Filter Banks for Software Radio Channelization Using Semidefinite Programming

Design of Frequency Response Masking Based Reconfigurable Filter Banks for Software Radio Channelization Using Semidefinite Programming

Variable cutoff frequency FIR filters: a survey

Design of low complexity variable digital filters and filter banks for software defined radio receivers

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