Polyphase Decomposition

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S K Mitra - One of the best experts on this subject based on the ideXlab platform.

  • two stage cic based decimator with improved characteristics
    Iet Signal Processing, 2010
    Co-Authors: Jovanovic G Dolecek, S K Mitra
    Abstract:

    A simple two-stage multiplierless cascaded-integrator-comb (CIC)-based decimator is presented. The first stage is a cascaded CIC filter whereas the second stage is a cascaded CIC filter and a second-order multiplierless compensator. The proposed decimator can be realised without filtering at high input rate by making use of the Polyphase Decomposition of the comb filter in the first stage. The proposed filter exhibits high aliasing attenuation and a low passband droop. The design parameters are the decimation factors, M 1 and M 2 , numbers of cascaded CIC filters L and K , and parameter b of the compensator.

  • a new multistage comb modified rotated sinc rs decimator with sharpened magnitude response
    IEICE Transactions on Information and Systems, 2005
    Co-Authors: Gordana Jovanovic Dolecek, S K Mitra
    Abstract:

    This paper presents a new multistage comb-rotated sinc (RS) decimator with a sharpened magnitude response. Novelty of this paper is that the multistage structure has more design parameters that provides additional flexibility to the design procedure. It uses different sharpening polynomials and different cascaded comb filters at different stages. As the comb filters at the latter stages are of lower order than that of the original comb filter, the use of more complex sharpening polynomials at latter stages is possible. This leads to an improvement of the frequency characteristic without a significant increase in the complexity of the overall filter. The comb filter of the first stage is realized in a non-recursive form and can be implemented in a computationally efficient form by making use of the Polyphase Decomposition of the transfer function in which the subfilters operate at a lower rate that depends on the down-sampling factor employed in the first stage. In addition, both multipliers of the rotated sinc (RS) filter of the second stage work at a lower rate.

  • efficient multistage comb modified rotated sinc rs decimator
    European Signal Processing Conference, 2004
    Co-Authors: G Jovanovicdolecek, S K Mitra
    Abstract:

    This paper presents a new multistage comb-rotated sinc (RS) decimator. The proposed structure consists of different cascaded comb sections, each down-sampled by a specific down-sampling factor. The number of sections depends on the decimation factor of the original comb decimator. The first section is realized in a non-recursive form. Using the Polyphase Decomposition, the sub-filters of the first section can be operated at lower rate which depends on the down-sampling factor of the first section. Additionally, the rotated sinc (RS) filter is cascaded in the second section, thus permitting both multipliers of the RS filter to work at the lower rate. The magnitude response of the proposed structure is better than that of the original comb decimator.

  • efficient comb rotated sinc rs decimator with sharpened magnitude response
    Midwest Symposium on Circuits and Systems, 2004
    Co-Authors: Gordana Jovanovic Dolecek, S K Mitra
    Abstract:

    This paper presents a comb-rotated sine (RS) decimator with a sharpened magnitude response. The decimator is composed of two main sections. The first section is a cascaded comb decimator, while the second section is a cascade of a sharpened comb and a rotated sine (RS) decimator. Using the Polyphase Decomposition, the subfilters of the first section can be operated at lower rate, which depends on the down-sampling factor of the first section. Additionally, as the RS filter is in the second section, both multipliers of the RS filter work at the lower rate. The magnitude response of the proposed filter is improved by using the sharpened technique in the second section.

  • sharpened comb decimator with improved magnitude response
    International Conference on Acoustics Speech and Signal Processing, 2004
    Co-Authors: G Jovanovicdolecek, S K Mitra
    Abstract:

    A new structure for the realization of a comb decimation filter with a sharpened magnitude response is advanced. The proposed structure consists of two main sections: a comb section and a sharpening comb section with the latter section operating at a lower rate than the high input rate. Using a Polyphase Decomposition, the sub-filters of the first section can also be operated at this lower rate. The improved magnitude response has been obtained by using the filter sharpening approach of J.F. Kaiser and R.W. Hamming (see IEEE Trans. on Acoustics, Speech, and Sig. Process., vol.ASSP25, p.415-22, 1977). The proposed filter has much less passband droop and better attenuation than the equivalent comb filter.

G Jovanovicdolecek - One of the best experts on this subject based on the ideXlab platform.

  • efficient multistage comb modified rotated sinc rs decimator
    European Signal Processing Conference, 2004
    Co-Authors: G Jovanovicdolecek, S K Mitra
    Abstract:

    This paper presents a new multistage comb-rotated sinc (RS) decimator. The proposed structure consists of different cascaded comb sections, each down-sampled by a specific down-sampling factor. The number of sections depends on the decimation factor of the original comb decimator. The first section is realized in a non-recursive form. Using the Polyphase Decomposition, the sub-filters of the first section can be operated at lower rate which depends on the down-sampling factor of the first section. Additionally, the rotated sinc (RS) filter is cascaded in the second section, thus permitting both multipliers of the RS filter to work at the lower rate. The magnitude response of the proposed structure is better than that of the original comb decimator.

  • sharpened comb decimator with improved magnitude response
    International Conference on Acoustics Speech and Signal Processing, 2004
    Co-Authors: G Jovanovicdolecek, S K Mitra
    Abstract:

    A new structure for the realization of a comb decimation filter with a sharpened magnitude response is advanced. The proposed structure consists of two main sections: a comb section and a sharpening comb section with the latter section operating at a lower rate than the high input rate. Using a Polyphase Decomposition, the sub-filters of the first section can also be operated at this lower rate. The improved magnitude response has been obtained by using the filter sharpening approach of J.F. Kaiser and R.W. Hamming (see IEEE Trans. on Acoustics, Speech, and Sig. Process., vol.ASSP25, p.415-22, 1977). The proposed filter has much less passband droop and better attenuation than the equivalent comb filter.

  • efficient sharpening of cic decimation filter
    International Conference on Acoustics Speech and Signal Processing, 2003
    Co-Authors: G Jovanovicdolecek, S K Mitral
    Abstract:

    We propose an efficient sharpening of a CIC decimation filter for an even decimation factor. The proposed structure consists of two main sections: a section composed of a cascade of the first-order moving average filters, and a sharpening filter section. The proposed Decomposition scheme allows a sharpening section to operate at half of the input rate. In addition, the sharpened CIC filter is of length that is half of that of the original CIC filter. With the aid of the Polyphase Decomposition, the Polyphase subfilters of the first section can also be operated at the half of the input rate.

Gordana Jovanovic Dolecek - One of the best experts on this subject based on the ideXlab platform.

  • application of generalized sharpening technique for two stage comb decimator filter design
    Procedia Technology, 2013
    Co-Authors: Miriam Guadalupe Cruz Jimenez, Gordana Jovanovic Dolecek
    Abstract:

    Abstract This paper introduces the generalized sharpening technique to improve the magnitude characteristics of comb decimation filter in passband as well in the folding bands. To this end we design two-stage comb filter. The first stage can be operated at low sampling rate by using Polyphase Decomposition. A simple compensator is applied in the second stage to improve the passband characteristic of the comb in the second stage. Then the generalized sharpening technique is applied to decrease the passband droop induced by the comb filter placed in the first stage. As a result, a computationally efficient comb-based decimation filter is obtained which presents better magnitude characteristics than previous proposed sharpening methods.

  • On Passband and Stopband CIC Improvements Using a Second Order IIR Filter
    Universitas Ahmad Dahlan, 2012
    Co-Authors: Gordana Jovanovic Dolecek, Alfonso Fernandez-vazquez
    Abstract:

    This paper proposes an efficient second order IIR filter which considerably improves the passband as well as the stopband of the Cascaded-Integrator-Comb (CIC) filter. Using the Polyphase Decomposition of the proposed filte, all filtering can be moved to a lower rate, which is D times less than the high input rate, where D is the decimation factor. The overall phase response of the compensated CIC is approximately linear in the passband. The design parameters are the number of cascaded CIC filter N, the decimator factor D, the passband frequency wp, and a weighted parameter a.

  • on design of two stage cic compensation filter
    International Symposium on Industrial Electronics, 2009
    Co-Authors: Gordana Jovanovic Dolecek, Fred Harris
    Abstract:

    This paper presents the compensation filter design for the two-stage CIC decimation filter. The goal is twofold: to avoid the integrator section at high input rate and obtain a low wideband passband droop of the overall filter. To this end the decimation is split into two stages with the cascaded less order RRS filters at each stage. The first stage can be implemented either in non recursive form or using the Polyphase Decomposition. The simple compensation filter and the sharpening are applied to the second section where RRS filter is implemented as a CIC filter. The resulting structure is a multiplierless and with no integrators at high input rate. Additionally, the structure exhibits a low passband droop and a high stopband attenuation.

  • A NEW SHARPENED CASCADED COMB-COSINE DECIMATION FILTER
    2008
    Co-Authors: Gordana Jovanovic Dolecek, Sanjit K. Mitra
    Abstract:

    This paper presents a new multistage comb-cosine decimation filter with the improved magnitude response. The proposed structure consists of a comb section followed by different cascaded comb and cosine prefilter sections, each down-sampled by a specific down-sampling factor. The number of sections depends on the decimation factor of the original comb decimator, and the number of cascaded filters can be different for different stages. The first section is realized in a non-recursive form. Using the Polyphase Decomposition, the subfilters of the first section can be operated at the lower rate. The magnitude response is improved by using cosine prefilters which can also be moved to a lower rate. The sharpening technique is applied to all but the first comb section. The resulting structure is multiplier-free, does not have any filtering at the high input rate, and the magnitude response has a low passband droop and high stopband attenuation. 1

  • A New Two-Stage CIC-Based Decimation Filter
    2007 5th International Symposium on Image and Signal Processing and Analysis, 2007
    Co-Authors: Gordana Jovanovic Dolecek, Sanjit K. Mitra
    Abstract:

    This paper presents a new two-stage CIC-based decimation filter for input signals occupying 3A of the digital band. The decimation factor M is assumed to be an even number. The decimation factor of the first stage is M/2, whereas, that of the second stage is 2. A sine-based compensation filter is introduced to decrease the passband droop of the CIC filter and a cosine filter is introduced to improve the overall stop-band characteristic. As a result the SNR {signal-to-noise ratio) is improved. Using the Polyphase Decomposition of the comb filters, the Polyphase components of the comb filters are moved to the lower rate which is M/2 less than the input rate. Consequently there is no filtering at the high input rate. The proposed filter performs decimation efficiently using only additions/subtractions making it attractive for software radio (SWR) applications.

Lianggee Chen - One of the best experts on this subject based on the ideXlab platform.

  • B-SPLINE FACTORIZATION-BASED ARCHITECTURE FOR INVERSE DISCRETE WAVELET TRANSFORM
    2013
    Co-Authors: Chao-tsung Huang, Po-chih Tseng, Lianggee Chen
    Abstract:

    In this paper, the VLSI architecture for the Inverse Discrete Wavelet Transform (IDWT) is proposed on the basis of B-spline factorization that is the intrinsic property of DWT and comprises two parts: B-spline part and distributed part. After the Polyphase Decomposition, the former can be constructed by Pascal or direct implementation. And the latter one can be implemented by serial or parallel filter architecture. The B-spline-based architectures can reduce multipliers but would introduce additional adders compared with convolution-based architectures. Because the hardware complexity of adders is much less than that of multipliers, B-spline-based architectures could provide smaller hardware complexity for DWT and IDWT. The case study of the (10,18) filter will also be given to demonstrate the efficiency. 1

  • An Efficient Architecture for TwoDimensional Discrete Wavelet Transform
    2013
    Co-Authors: Lianggee Chen
    Abstract:

    Abstract—This paper proposes an efficient architecture for the two-dimensional discrete wavelet transform (2-D DWT). The proposed architecture includes a transform module, a RAM module, and a multiplexer. In the transform module, we employ the Polyphase Decomposition technique and the coefficient folding technique to the decimation filters of stages 1 and 2, respectively. In comparison with other 2-D DWT architectures, the advantages of the proposed architecture are 100 % hardware utilization, fast computing time (0.5–0.67 times of the parallel filters’), regular data flow, and low control complexity, making this architecture suitable for next generation image compression systems, e.g., JPEG-2000. Index Terms—Decimation filters, discrete wavelet transform, image compression, JPEG-2000, multirate digital signal processing. I

  • vlsi architecture for discrete wavelet transform based on b spline factorization
    Signal Processing Systems, 2003
    Co-Authors: Chao-tsung Huang, Po-chih Tseng, Lianggee Chen
    Abstract:

    Based on B-spline factorization, a new category of architectures for the discrete wavelet transform (DWT) is proposed. The B-spline factorization mainly consists of the B-spline part and the distributed part. The former is proposed to be constructed by use of a Pascal implementation. The latter is the only part requiring multipliers and can be implemented with type-I or type-II Polyphase Decomposition. Since the degree of the distributed part is usually designed as small as possible, the proposed architectures could need fewer multipliers than previous arts, but more adders would be required. However, many adders can be implemented with small area and low speed because only a few adders are on the critical path. Two cases of the JPEG2000 defaulted (9,7) filter and the (6,10) filter are given to demonstrate the efficiency of the proposed architectures.

  • an efficient architecture for two dimensional discrete wavelet transform
    IEEE Transactions on Circuits and Systems for Video Technology, 2001
    Co-Authors: Lianggee Chen
    Abstract:

    This paper proposes an efficient architecture for the two-dimensional discrete wavelet transform (2-D DWT). The proposed architecture includes a transform module, a RAM module, and a multiplexer. In the transform module, we employ the Polyphase Decomposition technique and the coefficient folding technique to the decimation filters of stages 1 and 2, respectively. In comparison with other 2-D DWT architectures, the advantages of the proposed architecture are 100% hardware utilization, fast computing time (0.5-0.67 times of the parallel filters'), regular data flow, and low control complexity, making this architecture suitable for next generation image compression systems, e.g., JPEG-2000.

Jos B T M Roerdink - One of the best experts on this subject based on the ideXlab platform.

  • Polyphase Decompositions and shift invariant discrete wavelet transforms in the frequency domain
    Signal Processing, 2010
    Co-Authors: Alle Meije Wink, Jos B T M Roerdink
    Abstract:

    Given a signal and its Fourier transform, we derive formulas for its Polyphase Decomposition in the frequency domain and for the reconstruction from the Polyphase representation back to the Fourier representation. We present two frequency-domain implementations of the shift-invariant periodic discrete wavelet transform (SI-DWT) and its inverse: one that is based on frequency-domain Polyphase Decomposition and a more efficient 'direct' implementation, based on a reorganisation of the a trous algorithm. We analyse the computational complexities of both algorithms, and compare them to existing time-domain and frequency domain implementations of the SI-DWT. We experimentally demonstrate the reduction in computation time achieved by the direct frequency domain implementation of the SI-DWT for wavelet filters with non-compact support.

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