Authors:
Li Chai,
Li Qiu,
Volume: 1, Page 4290 Paper number 3201
Abstract:
In this paper, we address several topics on multirate systems, mostly
in a frequency domain point of view. We first study the frequency response
of a multirate system and derive the aliasing component (AC) representation.
We give the relationship between the AC representation and the ususal
transfer function matrix of the lifted LTI system. Secondly, we propose
a multirate version of the Nevanlina-Pick (NP) interpolation problem
and give a necessary and sufficient solvability condition. This version
of the NP interpolation problem is of interest mathematically and has
potential applications in addressing other issues in control, signal
processing and circuit theory. Finally, as an application of the multirate
version of the NP interpolation problem, we formulate and solve the
robust model validation problem for multirate systems with frequency
domain experiment data.
Authors:
Masaaki Nagahara,
Yutaka Yamamoto,
Volume: 1, Page 4296 Paper number 3202
Abstract:
This paper proposes a new design methodology for digital filters, interpolators/decimators
and sample-rate converters, based on the modern sampled-data control
theory. In contrast to the conventional filter designs where the methods
are mostly based on frequency domain approximation techniques, the
proposed method makes use of the sampled-data H^(infinity) control
theory, thereby allowing for optimizing the intersample behavior and
aliasing effects. The novel feature here is that the proposed method
can optimize the analog-domain performance over all frequency ranges,
thereby guaranteeing a desirable performance without breaking the design
problem into several different steps, such as linear phase characteristic,
optimal attenuation level design, etc. A design example is presented
to show the advantages of the present method.
Authors:
Zhi Ding,
Li Qiu,
Volume: 1, Page 4302 Paper number 3203
Abstract:
Blind channel identification and equalization have attracted much attention
recently. Their potential application in wireless communication systems
has been explored. For multiple user systems, several algorithms known
to date require the assumption that the linear system has a full rank
convolution matrix. In fact, this assumption requires that system
be irreducible and column reduced. In this paper, we show that some
of these algorithms can remain effective even when the rank condition
is relaxed. Several algorithms, including the outer-product decomposition,
can still be applied with care for irreducible (but not column reduced)
multiple-input-multiple-output (MIMO) linear systems.
Authors:
Soura Dasgupta,
Volume: 1, Page 4308 Paper number 3204
Abstract:
This papers concerns a new wavelet packet based design methodology
for efficient implementation of digital controllers that operate at
very high sampling rates, but for reasons of compactness are fabricated
on VLSI chips with limited surface area. We argue that this brings
about a fundamental tradeoff between sampling speed, accuracy due to
signal quantization, and the chip area. Here we reconcile this tradeoff
using multirate subband coding techniques, that exploit spectral disparities
in the closed loop signals. A precise optimization problem is formulated,
and its solution presented.
Authors:
Ting Liu,
Tongwen Chen,
Volume: 1, Page 4314 Paper number 3205
Abstract:
The paper considers design of multi-channel, nonuniform-band transmultiplexers
using H_2 optimization. General dual-rate structures are used to provide
more design freedom. Such general transmultiplexers have a new source
of error called aliasing distortion. We propose a composite error criterion
which captures all distortions in one, develop an optimal design procedure
and apply it to a three-channel nonuniform example, yielding an FIR
transmultiplexer which has good frequency limiting properties in the
synthesis end and is very close to perfect reconstruction.
Authors:
Robert L. Kosut,
Wonzoo Chung,
C. Richard Johnson Jr,
Stephen P. Boyd,
Volume: 1, Page 4320 Paper number 3206
Abstract:
Decision Feedback Equalization (DFE) is expected in digital TV receivers
and other high error rate environments. It is argued here that the
minimum mean-square-error (MMSE) adaptation mechanism in the presence
of error propagation will find a better answer than the solution computed
in the absence of decision errors. This paper attempts to formalize
this benefit during the design phase, by considering other (convex)
performance measures than MSE assuming perfect decisions. After all,
any such modified objective is just a proxy for determining the optimal
error rate. We consider a method to penalize these gains, but not in
the unconstrained (perfect decision) MSE sense.
Authors:
Tryphon T. Georgiou,
Allen Tannenbaum,
Volume: 1, Page 4324 Paper number 3207
Abstract:
The purpose of this note is to introduce new methodologies for high
resolution image processing and knowledge-based segmentation for SAR
imagery. These techniques could also have a major impact on problems
in radar and remote sensing where modern mathematical tools and optimization
techniques are likely to advance significantly the current state of
the art.
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