### Citations

195 |
Subband Coding of Images
- Woods
- 1991
(Show Context)
Citation Context ...om the subband samples. Several techniques to achieve this goal have been presented in the literature [5]–[17]. The oldest and simplest method to process finite-length signals is circular convolution =-=[6]-=-, where finite-length signals are periodically extended prior filterbank analysis. If is an integer multiple of , the obtained subband signals are periodic with period , and only subband signals of le... |

83 |
Tilings of the timefrequency plane: construction of arbitrary orthogonal bases and fast tiling algorithms
- Herley, Kovacevic, et al.
- 1993
(Show Context)
Citation Context ...e subbands that allow us to achieve nonexpansive transforms can be obtained. An overview of permissible constellations is given in [10]. Finally, the use of boundary filters has been proposed in [11]–=-=[18]-=-. Using boundary filters means that the original filters of the filterbank are replaced by special filters at the boundaries of the signal that ensure that all of the information on a length- input si... |

77 |
Analysis/synthesis techniques for subband image coding
- Smith, Eddins
- 1990
(Show Context)
Citation Context ...oding artifacts may occur when the signal properties are significantly different on both sides. A method with better properties is symmetric reflection, which has been studied by several authors [5], =-=[7]-=-–[10]. In this method, the finite-length signal is first symmetrically extended at its boundaries and then periodically extended, resulting in a signal with period or , depending on the type of symmet... |

32 | Boundary filters for finite-length signals and time-varying filterbanks
- Herley
- 1995
(Show Context)
Citation Context ...in the subbands that allow us to achieve nonexpansive transforms can be obtained. An overview of permissible constellations is given in [10]. Finally, the use of boundary filters has been proposed in =-=[11]-=-–[18]. Using boundary filters means that the original filters of the filterbank are replaced by special filters at the boundaries of the signal that ensure that all of the information on a length- inp... |

21 | Audio compression at low bit rates using a signal adaptive switched filterbank - Sinha, Johnston - 1996 |

21 |
Extended lapped transform: fast algorithms and applications
- Malvar
- 1991
(Show Context)
Citation Context ...24) where and are taken from the SVDs (25) V. EXAMPLES In the first example, we consider a paraunitary, cosine-modulated 16-band filterbank with extended lapped transform (ELT) prototype according to =-=[22]-=-. In this filterbank, the subband filters have nonlinear phase so that symmetric reflection techniques cannot be applied, and boundary filters must be used. The filter length of an ELT is . The filter... |

15 | Audio subband coding with improved representation of transient signals
- Kliewer, Mertins
- 1998
(Show Context)
Citation Context ...signals, which occur for example in segmentation-based audio and in image coding. Segmentation-based audio coders divide an input signal into finite-length blocks and encode each block separately [3]–=-=[5]-=-. This strategy allows one to easily adapt the bit allocation to different signal segments and to directly access parts of the encoded bitstream. In addition, by segmenting audio signals directly in f... |

14 |
Audio coding with signal adaptive filterbanks
- Princen, Johnston
- 1995
(Show Context)
Citation Context ...gth signals, which occur for example in segmentation-based audio and in image coding. Segmentation-based audio coders divide an input signal into finite-length blocks and encode each block separately =-=[3]-=-–[5]. This strategy allows one to easily adapt the bit allocation to different signal segments and to directly access parts of the encoded bitstream. In addition, by segmenting audio signals directly ... |

12 | Time-varying and support preservative filterbanks: Design of optimal transition and boundary filters via SVD
- Mertins
- 1995
(Show Context)
Citation Context ...and [18] methods for the design of boundary filters are presented, but no direct solutions for their optimization are provided. In [14] and [17], numerical optimization has been employed. The work in =-=[13]-=- and [15] presents straightforward design methods for orthonormal boundary filters. However, desirable features such as matching moments are not included. The term “matching moments” means that the bo... |

12 | Optimized biorthogonal shape adaptive wavelets
- Mertins
- 1998
(Show Context)
Citation Context ...tal number of subband samples to while being able to perfectly reconstruct the input signal from the subband samples. Several techniques to achieve this goal have been presented in the literature [5]–=-=[17]-=-. The oldest and simplest method to process finite-length signals is circular convolution [6], where finite-length signals are periodically extended prior filterbank analysis. If is an integer multipl... |

10 | Biorthogonal cosine-modulated filterbanks without DC leakage
- Karp, Mertins
- 1998
(Show Context)
Citation Context ...inal example, we consider an eight-channel, biorthogonal, low-delay, cosine-modulated filterbank with a filter length of and a system delay of 15 taps. The prototype is designed to have no dc leakage =-=[23]-=-. The signal length is chosen to be an integer multiple of the number of channels. Because low-delay filters have most of their energy concentrated at the beginning of their impulse responses, it turn... |

8 | Efficient signal extension for subband/wavelet decomposition of arbitrary length signals - Barnard, Weber, et al. - 1993 |

8 |
de Queiroz, “Subband processing of finite length signals without border distortions
- L
- 1992
(Show Context)
Citation Context ... boundary filtering. However, boundary filters are not restricted to these cases. They can be applied to both nonlinear and linear-phase filterbanks with no restriction on the signal length. In [11], =-=[12]-=-, and [18] methods for the design of boundary filters are presented, but no direct solutions for their optimization are provided. In [14] and [17], numerical optimization has been employed. The work i... |

8 |
Size limited filterbanks for subband image compression
- Nuri, Bamberger
- 1995
(Show Context)
Citation Context ...is needed to avoid effects like spatially varying noise when reconstructing the signal from its quantized subband coefficients. Adjusting the bit allocation to avoid such effects has been proposed in =-=[21]-=-. In this paper, we design boundary filters in such a way that their properties become most similar to those of the original filters so that an adjustment of the bit allocation can be avoided. A. Obje... |

7 |
Optimal orthogonal boundary filterbanks
- Queiroz, Rao
- 1995
(Show Context)
Citation Context ...filterbanks with no restriction on the signal length. In [11], [12], and [18] methods for the design of boundary filters are presented, but no direct solutions for their optimization are provided. In =-=[14]-=- and [17], numerical optimization has been employed. The work in [13] and [15] presents straightforward design methods for orthonormal boundary filters. However, desirable features such as matching mo... |

5 |
On optimal boundary and transition filters in time-varying filterbanks
- Kalker
- 1996
(Show Context)
Citation Context ...methods for the design of boundary filters are presented, but no direct solutions for their optimization are provided. In [14] and [17], numerical optimization has been employed. The work in [13] and =-=[15]-=- presents straightforward design methods for orthonormal boundary filters. However, desirable features such as matching moments are not included. The term “matching moments” means that the boundary fi... |

5 |
Boundary compensated wavelet bases
- Coffey
- 1997
(Show Context)
Citation Context ...wever, desirable features such as matching moments are not included. The term “matching moments” means that the boundary filters match the moments of the stationary filters up to a certain degree. In =-=[16]-=-, conditions for biorthogonal boundary filters with 1053–587X/01$10.00 © 2001 IEEE MERTINS: BOUNDARY FILTER OPTIMIZATION FOR SEGMENTATION-BASED SUBBAND CODING 1719 Fig. 1. Example of size-limited anal... |

4 | Reflected Boundary Conditions for Multirate Filter Banks - Bradley - 1992 |

3 |
Symmetric extension methods for M -channel linear-phase perfect reconstruction filterbanks
- Chen, Nguyen, et al.
- 1995
(Show Context)
Citation Context ...g artifacts may occur when the signal properties are significantly different on both sides. A method with better properties is symmetric reflection, which has been studied by several authors [5], [7]–=-=[10]-=-. In this method, the finite-length signal is first symmetrically extended at its boundaries and then periodically extended, resulting in a signal with period or , depending on the type of symmetry us... |

2 |
Coding of Moving Pictures and Associated Audio for Digital Storage Media at up to about 1.5 MBit/s, Audio Part (111723
- Standardiz
- 1992
(Show Context)
Citation Context ...onstructs an approximation of the original input signal. To keep the number of subband samples as low as possible critical subsampling is employed. Well-known applications are the MPEG audio standard =-=[1]-=- and wavelet-based image coding techniques such as JPEG-2000 [2]. While filterbanks are usually designed to process ongoing signals, it is also of significant interest to use them for the processing o... |

2 | Boundary filters for size-limited paraunitary filterbanks with maximum coding gain and ideal DC behavior
- Mertins
- 2001
(Show Context)
Citation Context ...o the input signal. (c) and (d) Synthesis matricesG corresponding toH as in (a) and (b), respectively. vanishing moments were formulated for the two-channel case, but no direct solution was given. In =-=[19]-=-, boundary filters for paraunitary filterbanks with ideal dc behavior and maximum coding gain were designed. However, no higher moments and no biorthogonal filterbanks were considered. This paper pres... |