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## Index Terms – Transmultiplexing, Filtering. (2002)

### Citations

1148 |
Multirate Systems and Filter Banks
- Vaidyanathan
- 1993
(Show Context)
Citation Context ...r. So, the design process of the TMUX system comes down to the design of this prototypesfilter. The most widely used modulated TMUX system is based on the Discrete FouriersTransform (DFT) filter bank =-=[5, 7, 11]-=- because it has been proposed for implementing severalsmulti-carrier systems (see as example references [21]-[28]). However, it is well known that thesselectiveness of DFT as a filter bank is rather l... |

313 | 802.11e Wireless Medium Access control (MAC) and Physical layer specifications: Medium Access Control (MAC) Quality of Service(QoS) Enhancements - IEEE - 2004 |

94 |
A Theory of Multirate Filter Banks
- Vetterli
- 1987
(Show Context)
Citation Context ...ow-band or short-time interferences.sIII. TRANSMULTIPLEXERS DESIGN BASED ON COSINE-MODULATED FILTER BANKSsSeveral authors have proved the mathematical equivalence of TMUX systems and thesfilter banks =-=[3, 4, 6]-=-. Therefore, analysis and synthesis filter of an M-channel maximallysdecimated filter bank (Fig.1b) can first be designed and then the results applied directly tosobtain the corresponding TMUX systems... |

50 | Near-perfect-reconstruction pseudo-QMF banks
- Nguyen
- 1994
(Show Context)
Citation Context ... subsection.s(b) Spectral Factorization Approach to pseudo-QMF design [32, 33], where the prototypesfilter is a spectral factor of a 2Mth band filter.s(c) Near-perfect-reconstruction pseudo-QMF banks =-=[34]-=-. These filter banks are a hybridsof conventional pseudo-QMF design –the same scheme of cosine-modulation is used-sand the spectral factorization approachs-the prototype filter is a spectral factor of... |

31 |
Polyphase quadrature filters, a new subband coding technique
- Rothweiler
- 1983
(Show Context)
Citation Context ...ideal magnitude response of the prototype filter ( )zP . (b) Typical ideal magnitudesresponses of the transmitting ( )zFksand receiving ( )zH kssub-channel filters.s(a) Conventional Pseudo-QMF design =-=[30, 31]-=-. The prototype filter is obtained bysoptimization using an objective function, as shown in the following subsection.s(b) Spectral Factorization Approach to pseudo-QMF design [32, 33], where the proto... |

29 | A Simple Method for Designing High-Quality Prototype Filters for M-band Pseudo QMF Banks
- Creusere, Mitra
- 1995
(Show Context)
Citation Context ...nd attenuation. However, designing the optimized filter for the modulationsrequires a great computational effort.s3. The method proposed by Creusere and Mitra (CMT) uses the Parks-McClellanstechnique =-=[36]-=-. The prototype filter length, relative error weighting and stop-bandsedge are fixed before the optimization procedure is started, while the pass-band edgesis adjusted to minimizes( ) ( )( ){ } ( )MeP... |

29 | A Kaiser window approach for the design of prototype filters of cosine modulated filter banks
- Lin, Vaidyanathan
- 1998
(Show Context)
Citation Context ... pass-band edgesis adjusted to minimizes( ) ( )( ){ } ( )MePePmax Mjj πωφ πωωω ,0,122 ∈−+= − .s(15)s4. Another designing technique is the Kaiser Window Approach (KWA) proposed bysLin and Vaidyanathan =-=[37]-=-. Let [ ]npsbe a filter designed ass[ ] [ ] [ ]nwnpnp i ⋅= ,s(16)swhere [ ]nwsis an (N+1)-length Kaiser window ands[ ] ( )( )( ) Ζ∈−⋅ ⋅−= n Nn Nnsin np ci 2 2 π ω .s(17)sNext, ( )ωjeGsis defined as ( ... |

26 |
Perfect Transmultiplexers
- Vetterli
- 1986
(Show Context)
Citation Context ...ow-band or short-time interferences.sIII. TRANSMULTIPLEXERS DESIGN BASED ON COSINE-MODULATED FILTER BANKSsSeveral authors have proved the mathematical equivalence of TMUX systems and thesfilter banks =-=[3, 4, 6]-=-. Therefore, analysis and synthesis filter of an M-channel maximallysdecimated filter bank (Fig.1b) can first be designed and then the results applied directly tosobtain the corresponding TMUX systems... |

24 |
TDM-FDM transmultiplexer: digital polyphase and FFT
- Bellanger, Daguet
- 1974
(Show Context)
Citation Context ...885 66 93sFAX: +34 91 885 66 99semail: fernando.cruz@uah.ess1 I. INTRODUCTIONsThe theory and design of transmultiplexer (TMUX) systems are widely reported in the literatures(see as example references =-=[1]-=--[20]). These systems are traditionally used for inter-conversionsbetween the time-division multiplexing format (TDM) and the frequency-division multiplexings(FDM) format, and have been successfully u... |

24 |
Supplement to Standard for Telecommunications and Information Exchange TX1
- IEEE
(Show Context)
Citation Context ...dulated TMUX system is based on the Discrete FouriersTransform (DFT) filter bank [5, 7, 11] because it has been proposed for implementing severalsmulti-carrier systems (see as example references [21]-=-=[28]-=-). However, it is well known that thesselectiveness of DFT as a filter bank is rather limited. The sub-channel responses consist of asmain lobe which partly overlaps with immediately adjacent channels... |

15 |
An efficient and simple method for designing prototype filters for Cosine-Modulated pseudo-QMF banks
- Cruz-Roldán, Amo-López, et al.
(Show Context)
Citation Context ...e ( )zTAsfunctions and the computational cost increases considerably when thesnumber of channels M increases too.sIn this subsection, we propose a new design technique that completes that proposed ins=-=[39]-=-. This technique is based on the fact that the 3dB point of the prototype filter amplitudesresponse must be located at approximately M2πω = . This condition must be satisfied in ordersto guarantee tha... |

14 | Filter Banks in Digital Communications
- Vaidyanathan
(Show Context)
Citation Context ...66 93sFAX: +34 91 885 66 99semail: fernando.cruz@uah.ess1 I. INTRODUCTIONsThe theory and design of transmultiplexer (TMUX) systems are widely reported in the literatures(see as example references [1]-=-=[20]-=-). These systems are traditionally used for inter-conversionsbetween the time-division multiplexing format (TDM) and the frequency-division multiplexings(FDM) format, and have been successfully utiliz... |

13 |
A New Look at Digital Orthogonal Transmultiplexers for CDMA Communications
- Akansu, Tazebay, et al.
- 1997
(Show Context)
Citation Context ...ccessfully utilized to describe several popular communicationsapplications such as code division multiple access (CDMA), discrete multi-tone (DMT) orsorthogonal frequency division multiplexing (OFDM) =-=[13]-=--[15]. This topic is very important insdigital signal transmission systems, especially in multi-user communications, because the coreselement of the aforementioned systems can be viewed from the persp... |

12 |
Pseudo QMF filter bank
- Nussbaumer
- 1981
(Show Context)
Citation Context ...ideal magnitude response of the prototype filter ( )zP . (b) Typical ideal magnitudesresponses of the transmitting ( )zFksand receiving ( )zH kssub-channel filters.s(a) Conventional Pseudo-QMF design =-=[30, 31]-=-. The prototype filter is obtained bysoptimization using an objective function, as shown in the following subsection.s(b) Spectral Factorization Approach to pseudo-QMF design [32, 33], where the proto... |

12 |
A spectral factorization approach to pseudo-QMF design
- Koilpillai, Vaidyanathan
- 1993
(Show Context)
Citation Context ...seudo-QMF design [30, 31]. The prototype filter is obtained bysoptimization using an objective function, as shown in the following subsection.s(b) Spectral Factorization Approach to pseudo-QMF design =-=[32, 33]-=-, where the prototypesfilter is a spectral factor of a 2Mth band filter.s(c) Near-perfect-reconstruction pseudo-QMF banks [34]. These filter banks are a hybridsof conventional pseudo-QMF design –the s... |

10 | An efficient approach for designing nearly perfectreconstruction cosine-modulated and modified DFT filter banks
- Saramaki, Bregovic
- 2001
(Show Context)
Citation Context ...x nnnew 2 0, ≠ =φ .s(18)sThis condition ensures that [ ]npsis approximately a spectral factor of a 2Mth bandsfilter.s8 5. Recently, other methods for designing prototype filters have been proposed in =-=[38]-=-.sThe statement of the problems are: given ρ , M and N, find the coefficients of ( )zPstosminimize their stop-band energys( )( ) ( )∫ += π πρ ω ωM j dePE 21 22 ,s(19a)sor to minimizes[ ] ( )ωπωω jePma... |

6 | Orthogonal Transmultiplexers in Communication: A - Akansu - 1998 |

6 |
Equalization in filter bank based multicarrier systems
- Viholainen, Alhava, et al.
- 1999
(Show Context)
Citation Context ...nt channels. In the case ofscross-talk-free TMUX systems, these functions are null. However, when cross-talk exists -theresis signal leakage from one channel to another-, this error can be quantified =-=[16]-=- by means of thesinter-carrier (inter-channel) interference (ICI) ass( ) ⎟⎟⎠ ⎞ ⎜⎜⎝ ⎛= ∑− ≠= 1 ,0 2 ,, M rir j rii eTmaxICI ωω .s(3)sThe total cross-talk error for the i-th channel is defined as [6]s( ... |

6 | Design of Multichannel Nonuniform Transmultiplexers Using General Buliding Blocks - Liu, Chen |

5 |
Practical aspects of DFT-based frequency division multiplexing for data transmission
- Feig
- 1990
(Show Context)
Citation Context ...r. So, the design process of the TMUX system comes down to the design of this prototypesfilter. The most widely used modulated TMUX system is based on the Discrete FouriersTransform (DFT) filter bank =-=[5, 7, 11]-=- because it has been proposed for implementing severalsmulti-carrier systems (see as example references [21]-[28]). However, it is well known that thesselectiveness of DFT as a filter bank is rather l... |

5 |
Some results in the theory of crosstalk-free transmultiplexers
- Koilpillai, Nguyen, et al.
- 1991
(Show Context)
Citation Context ...d [16] by means of thesinter-carrier (inter-channel) interference (ICI) ass( ) ⎟⎟⎠ ⎞ ⎜⎜⎝ ⎛= ∑− ≠= 1 ,0 2 ,, M rir j rii eTmaxICI ωω .s(3)sThe total cross-talk error for the i-th channel is defined as =-=[6]-=-s( )∫ ∑− ≠= = M M ir r Mj rii deTe π ω ω 0 1 0 2 , ,s(4)s4 and the maximum cross-talk error issiMimax emaxe 10 −≤≤ = .s(5)sOn the other hand, the functions ( )Mii zT ,srelate the output signal )(ˆ Mi ... |

3 | On computational complexity in digital transmultiplexer filters - Bellanger - 1982 |

3 | Bandwidth efficient transmultiplexers, part 2: Subband complements and performance aspects - Ramachandran, Kabal - 1992 |

3 | State space model and noise filtering design in transmultiplexer systems - Lin, Chen - 1995 |

2 |
DFT polyphase transmultiplexer filter banks with effective reconstruction
- Fliege
- 1992
(Show Context)
Citation Context ...r. So, the design process of the TMUX system comes down to the design of this prototypesfilter. The most widely used modulated TMUX system is based on the Discrete FouriersTransform (DFT) filter bank =-=[5, 7, 11]-=- because it has been proposed for implementing severalsmulti-carrier systems (see as example references [21]-[28]). However, it is well known that thesselectiveness of DFT as a filter bank is rather l... |

2 | Optimal reconstruction in multirate transmultiplexer systems under channel noise: Wiener separation filtering approach - Chen, Chen - 2000 |

2 |
Time-frequency localization in M-band filter banks and wavelets
- Haddad, Akansu, et al.
- 1993
(Show Context)
Citation Context ...parameters to measure the spread of the filter responses in time as well as in thesfrequency domain. The time-spread of a filter response [ ]nfi , 10 −≤≤ Nn , characterizes thestime location property =-=[29]-=- and is defined ass( ) [ ]∑ ⋅−⋅= n ii i n nfnnEi 222 1σ ,s(9)s5 where iEsand insare respectively the energy and the time centre of the function [ ]nfi :s[ ] [ ]∑∑ ⋅⋅== n i i i n ii nfnE nnfE 22 1,s.s(... |

1 | Perfect transmultiplexers using IIR filter banks - Mitra, Creusere, et al. - 1992 |

1 |
Algorithm for the design of transmultiplexers with time-frequency spread criteria
- Chen, Chan, et al.
- 2000
(Show Context)
Citation Context ...nδsis the unit impulse, and dnsis asproper delay [16].sRecently, Chen et al. have proposed a new class of transmultiplexer designed with thesfilter responses spread in both time and frequency domains =-=[18]-=-. The TMUX systems proposedsin this work are not optimised in this sense. However, in order to evaluate these characteristics,swe use two parameters to measure the spread of the filter responses in ti... |

1 |
Osés del Campo, “Arbitrarylength spectral factor applied to the design of pseudo-QMF cosine-modulated filter banks
- Cruz-Roldán, López-Ferreras, et al.
- 2001
(Show Context)
Citation Context ...seudo-QMF design [30, 31]. The prototype filter is obtained bysoptimization using an objective function, as shown in the following subsection.s(b) Spectral Factorization Approach to pseudo-QMF design =-=[32, 33]-=-, where the prototypesfilter is a spectral factor of a 2Mth band filter.s(c) Near-perfect-reconstruction pseudo-QMF banks [34]. These filter banks are a hybridsof conventional pseudo-QMF design –the s... |

1 |
Alternating analysis and synthesis filters: A new pseudo-QMF bank
- Cruz-Roldán, Amo-López, et al.
- 2001
(Show Context)
Citation Context ...om the scheme of cosine-modulation proposed.sLet [ ]npsbe the prototype filter (with real coefficients) designed by means of the methodsdescribed in the preceding subsection. We define [ ]nskssignals =-=[32, 33, 40]-=-, 10 −≤≤ Mk ,s10 −≤≤ Nn , ass[ ] [ ] ⎟⎟⎠ ⎞⎜⎜⎝ ⎛ +⋅⋅⎟⎠ ⎞⎜⎝ ⎛ +⋅⋅= kk nMknpns φ π 2 1cos2 .s(24)sTerms kφsare essential in order to ensure the reduction of amplitude distortion and thescancellation of t... |