Complex modulated critically sampled filter banks based on cosine and sine modulation

Viholainen, A.; Stitz, Tobias Hidalgo; Alhava, J.; Ihalainen, Tero; Renfors, Markku

doi:10.1109/iscas.2002.1009970

Cited by 29 publications

(23 citation statements)

References 6 publications

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“…, M − 1} [14]. Hence, if we use the same prototype for both CMFB and SMFB, the PR properties of the CMFB will be inherited in SMFB [5].…”

Section: A the Filter Bank Designmentioning

confidence: 99%

“…The work in [4] shows that using cosine-sine modulated filter banks (CSMFB) (Fig. 1) introduced in [5] can be interpreted as M -band DTCWT by using the same prototype for the analysis and synthesis filters. The first real part filter bank is a normal cosine-modulated filter bank (CMFB), while the dual filter bank is a sine-modulated filter bank (SMFB).…”

Section: Introductionmentioning

confidence: 99%

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Design of cosine-sine modulated filter banks without DC leakage

Maass

Phan

Mertins

2014

2014 19th International Conference on Digital Signal Processing

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We propose a new design structure for the Mband dual-tree wavelet transform based on the idea of using cosine-sine modulated filter banks. The filter coefficients for the real and imaginary parts of the transform will be computed by using cosine-and sine-modulated filter banks, respectively. In the proposed structure, the zero-delay and maximum-delay matrices calculated for the cosine-modulated filter banks will be extended for sine-modulated filter banks with a few sign changes. Furthermore, the resulting structure can be easily enforced with the constraints so that the prototype is able to produce a pair of DC-leakage-free filter banks. The experimental results confirmed these advantageous properties of our proposed design structure.

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“…, M − 1} [14]. Hence, if we use the same prototype for both CMFB and SMFB, the PR properties of the CMFB will be inherited in SMFB [5].…”

Section: A the Filter Bank Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Design of cosine-sine modulated filter banks without DC leakage

Maass

Phan

Mertins

2014

2014 19th International Conference on Digital Signal Processing

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show abstract

“…Here it should be pointed out that if the polyphase components G k (z) in (20) have different orders, some coefficients of prototype filter p(n) will be restricted to 0, which will in turn limit the prototype filter quality.…”

Section: B Reconstruction Performancementioning

confidence: 99%

“…In [18], the cosine-sine modulated filter bank (CSMFB) which has the same structure as in Fig. 1(b) was developed by taking the cosine-modulated and sine-modulated FBs [20] as the primal and dual FBs, respectively. Although the CSMFB avoids fractional-delay constraints, its modulated analysis and synthesis filters cannot have the LP property theoretically.…”

Section: Introductionmentioning

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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“…It is worth mentioning that, due to the relation among MTs, although the proposed design approach is based on Cosine-Modulated Transmultiplexers (CMTs), the optimized prototype filters can be applied equally well to Sine-Modulated Transmultiplexers [3] and Modified Discrete Fourier Transform Transmultiplexers [4]. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

An efficient approach for designing filter banks for Multi-Carrier Transmission

Martin

Bregović

Saramäki

2008

2008 IEEE International Symposium on Circuits and Systems (ISCAS)

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This paper proposes a fast design scheme for optimizing a novel family of Multi-Carrier Transmission (MCT) systems that are built up based on critically-sampled CosineModulated Filter Banks (CMFBs). This approach extends an earlier-proposed windowing-method (WM)-based technique for optimizing prototype filters for CMFBs such that, in addition to the cut-off frequency of the ideal filter, three terms in a four-term window function are used as unknowns, thereby leading to an optimization problem with only four adjustable parameters. Such an optimization problem is very efficiently solvable also when long prototype filters and many subchannels are required. What makes the resulting MCT systems novel is that the optimization concentrates on minimizing directly a weighted sum of the intersymbol and inter-channel interferences in these MCT systems, without directly considering the prototype filter. If the weight values in this sum are fixed, then the values of the unknowns can be optimized for the given overlapping factor. After tabulating these values, a closely optimum solution for any number of channels is obtained by simply using the WM together with these tabulated values. *

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Complex modulated critically sampled filter banks based on cosine and sine modulation

Cited by 29 publications

References 6 publications

Design of cosine-sine modulated filter banks without DC leakage

Design of cosine-sine modulated filter banks without DC leakage

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

An efficient approach for designing filter banks for Multi-Carrier Transmission

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