A Fast Design Method for Perfect-Reconstruction Uniform Cosine-Modulated Filter Banks

Doblinger, Gerhard

doi:10.1109/tsp.2012.2217139

Cited by 18 publications

(6 citation statements)

References 18 publications

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“…Step 6: Cond_b is satisfied, check for transition point with amplitude distortion/aliasing error using (11) or (12).…”

Section: Condition_a_1: φ(I + 1) Th Iteration ≤ φ(I) Th Iterationmentioning

confidence: 99%

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An Iterative Design with Variable Step Prototype Filter for Cosine Modulated Filter Bank

Prema¹,

Dasgupta²

2016

RADIOENGINEERING

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“…Step 6: Cond_b is satisfied, check for transition point with amplitude distortion/aliasing error using (11) or (12).…”

Section: Condition_a_1: φ(I + 1) Th Iteration ≤ φ(I) Th Iterationmentioning

confidence: 99%

“…The samples in the transition band are optimized by frequency sampling in [10]. Some of the other approaches are second order cone programming [12], [13] and filter designs based on gradient information [14], [15]. But in most of the existing methods, a fixed filter order and an arbitrary step size are considered.…”

Section: Introductionmentioning

confidence: 99%

An Iterative Design with Variable Step Prototype Filter for Cosine Modulated Filter Bank

Prema¹,

Dasgupta²

2016

RADIOENGINEERING

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“…We designed a 16-channel uniform CMFB using the technique proposed by Doblinger [33]. The filter order is set to 383, which yields a stopband attenuation of dB.…”

Section: A Simulationsmentioning

confidence: 99%

A Zero-Crossing Rate Property of Power Complementary Analysis Filterbank Outputs

Shenoy

Seelamantula

2015

IEEE Signal Process. Lett.

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We establish zero-crossing rate (ZCR) relations between the input and the subbands of a maximally decimated -channel power complementary analysis filterbank when the input is a stationary Gaussian process. The ZCR at lag is defined as the number of sign changes between the samples of a sequence and its -sample shifted version, normalized by the sequence length. We derive the relationship between the ZCR of the Gaussian process at lags that are integer multiples of and the subband ZCRs. Based on this result, we propose a robust iterative autocorrelation estimator for a signal consisting of a sum of sinusoids of fixed amplitudes and uniformly distributed random phases. Simulation results show that the performance of the proposed estimator is better than the sample autocorrelation over the SNR range of to 15 dB. Validation on a segment of a trumpet signal showed similar performance gains.

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“…Due to the LP property of p(n) and the conditions (20), the number of free parameters for optimization is one quarter of the number of filter coefficients. This optimization problem has been studied extensively and can be solved by many available algorithms, such as the spectral factorization method [23], second-order cone-programming approach [25], and iterative quadratic programming algorithm [26]. For simplicity, in our simulation we employ the nonlinear optimization function 'fmincon' in MATLAB to perform it.…”

Section: B Reconstruction Performancementioning

confidence: 99%

“…M, but not as in (26). Table II displays the comparison results of energy ratios of DTCWP, DOECFB and DTCMFB.…”

Section: B Test Of Shift-invariancementioning

confidence: 99%

Dual-Tree Cosine-Modulated Filter Bank With Linear-Phase Individual Filters: An Alternative Shift-Invariant and Directional-Selective Transform

Liang

Liu

2013

IEEE Trans. on Image Process.

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Dual-tree transforms have recently received much attention for the properties of shift-invariance and directional-selectivity. However, their designs generally encounter fractional-delay constraints, and become more complicated for providing linear-phase (LP) individual filters and flexible directional-selectivity, two important properties in image processing. In this paper, we propose an alternative shift-invariant and directional-selective transform-the dual-tree cosine-modulated filter bank (DTCMFB). In the proposed DTCMFB, its primal and dual filter banks are derived by cosine-modulating one LP prototype filter, and thus its design involves no fractional-delay constraints. Meanwhile, the derived modulation technique guarantees each individual filter to be LP and the LP condition is satisfied without any constraint on the prototype filter. By separable operations, the DTCMFB is extended to two-dimensions. The resulting 2D DTCMFB can provide much more flexible directional-selectivity. Finally, several simulations are given to verify the proposed DTCMFB, and the experiments on nonlinear approximation and image denoising are presented to demonstrate its potential in image processing.

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A Fast Design Method for Perfect-Reconstruction Uniform Cosine-Modulated Filter Banks

Cited by 18 publications

References 18 publications

An Iterative Design with Variable Step Prototype Filter for Cosine Modulated Filter Bank

An Iterative Design with Variable Step Prototype Filter for Cosine Modulated Filter Bank

A Zero-Crossing Rate Property of Power Complementary Analysis Filterbank Outputs

Dual-Tree Cosine-Modulated Filter Bank With Linear-Phase Individual Filters: An Alternative Shift-Invariant and Directional-Selective Transform

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