| 1. |
- Zang, Zhuquan, et al.
(författare)
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Complex Domain Digital Filter Design with Max-Min Type Amplitude Constraints and Group Delay Specifications
- 2001
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Konferensbidrag (refereegranskat)abstract
- This paper considers the design of a digital filter with prescribed magnitude and group delay specifications. Our aim is to devise suitable methods/algorithms which are useful for the design of a set of filters for multiuser communication systems. To do this, we formulate our filter design problem as a constrained L2 space minimization problem in which the performance requirement on the group delay and magnitude in the passband are treated as constraints while minimizing the L2 norm of the error function between the designed and the desired filters. Methods for solving the proposed nonlinear and nonconvex optimization problem are outlined. Numerical results are presented to illustrate the usefulness of the proposed method.
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| 2. |
- Zang, Zhuquan, et al.
(författare)
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Design of Digital Filters with Amplitude and Group Delay Specifications
- 2001
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Konferensbidrag (refereegranskat)abstract
- This paper considers the design of a digital filter with prescribed magnitude and group delay specifications. First, we outline the derivation of the phase and group delay functions of an Nth order digital Laguerre filter and show that the group delay function of the filter can be written as a ratio of quadratic functions in the filter coefficients. Then, we formulate our filter design problem as a constrained L2 space minimization problem in which the performance requirement on the group delay and magnitude in the passband are treated as constraints while minimizing the L2 norm of the error function between the designed and the desired filters. Methods for solving the proposed nonlinear optimization problem axe outlined. Numerical results are presented to illustrate the usefulness of the proposed method. As a special case, corresponding results for general FIR filters axe also derived
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| 3. |
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| 4. |
- Nordebo, Sven, et al.
(författare)
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Application of Infinite Dimensional Linear Programming to FIR Filter Design with Time Domain Constraints
- 1998
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Konferensbidrag (refereegranskat)abstract
- Previously the envelope-constrained filtering problem was formulated as designing an FIR filter such that the filter's L2 norm is minimized subject to the constraint that its response to a specified input pulse lies within a prescribed envelope. In this paper, we recast this filter design problem as a frequency-domain L infinity optimization problem with time-domain constraints. Motivations for solving this problem are given. Then recently developed infinite dimensional linear programming techniques are used for the design of the required FIR filter. For illustration, we apply the approach to a numerical example which deals with the design of an equalization filter for a digital transmission channel.
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| 5. |
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| 7. |
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| 8. |
- Nordebo, Sven, et al.
(författare)
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Semi-Infinite Linear Programming : A Unified Approach to Digital Filter Design with Time- and Frequency-domain Specifications
- 1999
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Ingår i: IEEE transactions on circuits and systems. 2, Analog and digital signal processing (Print). - : IEEE. - 1057-7130 .- 1558-125X. ; 46:6, s. 765-775
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Tidskriftsartikel (refereegranskat)abstract
- Using the recently developed semi-infinite linear programming techniques and Caratheodory's dimensionality theory, we present a unified approach to digital filter design with time and/or frequency-domain specifications. Through systematic analysis and detailed numerical design examples, we demonstrate that the proposed approach exhibits several salient features compared to traditional methods: 1) using the unified approach, complex responses can be handled conveniently without resorting to discretization; 2) time-domain constraints can be included easily; and 3) any filter structure, recursive or nonrecursive, can be employed, provided that the frequency response can be represented by a finite-complex basis. More importantly, the solution procedure is based on the numerically efficient simplex extension algorithms. As numerical examples, a discrete-time Laguerre network is used in a frequency-domain design with additional group-delay specifications, and in a H-infinity-optimal envelope constrained filter design problem. Finally, a finite impulse response phase equalizer is designed with additional frequency domain H-infinity, robustness constraints.
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