Coefficient quantization in nearly perfect-reconstruction cosine-modulated filter banks

Alhava, J.; Viholainen, A.

doi:10.1109/icassp.2000.862036

Cited by 10 publications

(19 citation statements)

References 8 publications

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“…The overall order of the prototype filters in both cases was set to N p = 2K M − 1 = 95, resulting in a factor of K = 6 for the polyphase decomposition. The direct-form realization was optimized in [1], and its final characteristics are included in Table 1. The FRM structure was developed with an interpolation factor L = 4, thus allowing one to discard the lower branch of the FRM diagram.…”

Section: Examplementioning

confidence: 99%

“…As can be verified from this table, the FRM-CMFB presents a superior performance compared to the optimized direct-form design. Clearly, the large number of direct-form parameters being optimized prevented the optimization procedure in [1] from reaching its global solution. The magnitude responses of both the optimized FRM prototype filter and the complete FRM-CMFB are shown in Figures 6 and 7, respectively.…”

Section: Examplementioning

confidence: 99%

“…Cosine-modulated filter banks (CMFBs) are commonly used in practice because of two main features [1], [9], [11]. First, their realization relies only on the design of a single prototype filter that reduces the total number of parameters to be specified.…”

Section: Introductionmentioning

confidence: 99%

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Optimized Prototype Filter Based on the FRM Approach for Cosine-Modulated Filter Banks

Furtado

Diniz

Netto

2003

Circuits Syst Signal Process

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A design procedure for frequency-response masking (FRM) prototype filters of cosine-modulated filter banks (CMFBs) is proposed. In the given method, we perform minimization of the maximum attenuation level in the filter's stopband, subject to intersymbol interference (ISI) and intercarrier interference (ICI) constraints. For optimization, a quasi-Newton algorithm with line search is used, and we provide simplified analytical expressions to impose the interference constraints, which greatly reduce the computational complexity of the optimization procedure. The result is lower levels of ISI and ICI for a predetermined filter order, or a reduced filter complexity for given levels of interferences. It is then illustrated how the FRM-CMFB structure is suitable for implementing filter banks with a large number of bands, yielding sharp transition bands and small roll-off factors, which is an attractive feature for a wide range of practical applications.

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Section: Examplementioning

confidence: 99%

Section: Examplementioning

confidence: 99%

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Optimized Prototype Filter Based on the FRM Approach for Cosine-Modulated Filter Banks

Furtado

Diniz

Netto

2003

Circuits Syst Signal Process

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“…1 The cosine-modulated filter banks (CMFBs) are very popular in applications requiring large number of subbands due to their easy design (based solely on a single prototype filter) and computationally efficient implementation. [2][3][4][5][6] In this paper, we analyze the use of the FRM approach to design the prototype filter of a CMFB. The narrowband-CMFB case is considered where standard minimax method fails to converge and even the FRM-CMFB 7 structure presents high computational complexity.…”

Section: Introductionmentioning

confidence: 99%

“…A narrowband CMFB design is then reviewed as a motivation to introduce the FRM2-CMFB structure in Sec. 5. The examples are included to illustrate the results achieved with the proposed method.…”

Section: Introductionmentioning

confidence: 99%

Efficient Design of Narrowband Cosine-Modulated Filter Banks Using a Two-Stage Frequency-Response Masking Approach

Netto

Barcellos

Diniz

2003

J CIRCUIT SYST COMP

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A new cosine-modulated filter bank (CMFB) structure is proposed based on the frequency-response masking (FRM) approach using masking filter decomposition. The resulting structure, the so-called FRM2-CMFB, presents reasonable computational complexity (number of arithmetic operations per output sample) and allows one to design filter banks with extremely large number of bands. The examples include the use of M = 1024 bands, where the standard minimax method cannot be employed. These examples indicate that the reduction in computational complexity can be as high as 60% of the original FRM-CMFB structure, which does not use masking filter decomposition.

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Multiplierless filter‐bank based multicarrier system by using canonical signed digit representation

Aliasgari

Marghi

Baharani

et al. 2014

Wireless Communications

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The filter-bank based multicarrier (FBMC) system is a candidate for designing the physical layer of a cognitive radio because of its spectral efficiency and the spectral containment. The main drawback of such a system compared with orthogonal frequency division multiplexing systems is its high computation complexity, because each subcarrier is shaped by a non-rectangular prototype filter. Although poly-phase decomposition is suggested to decrease the sampling rate of filtering, the number of filtering operations (multiplications) is dramatically increased by the growing number of subcarriers and the amount of the desired spectral containment. Hence, hardware implementation of the FBMC system faces challenges such as high electrical power consumption and large silicon area occupation. In order to reduce computational complexity, a multiplierless filter design based on the canonical signed digit (CSD) representation is proposed. In this technique, at first, a prototype filter is designed. Then a pre-optimization step is employed to adapt the prototype filter coefficients to system objectives and produce an enriched initial seed for genetic algorithm (GA) optimization. Finally, a customized GA is employed to jointly optimize and synthesize filter coefficients into the finite precision CSD representation so that the system objectives such as intersymbol-interference, interchannel-interference, and stop-band attenuation remain unchanged against the full-precision representation of coefficients.

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Coefficient quantization in nearly perfect-reconstruction cosine-modulated filter banks

Cited by 10 publications

References 8 publications

Optimized Prototype Filter Based on the FRM Approach for Cosine-Modulated Filter Banks

Optimized Prototype Filter Based on the FRM Approach for Cosine-Modulated Filter Banks

Efficient Design of Narrowband Cosine-Modulated Filter Banks Using a Two-Stage Frequency-Response Masking Approach

Multiplierless filter‐bank based multicarrier system by using canonical signed digit representation

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