Robust Equalizer Design for Allpass Transformed DFT Filter Banks with LTI Property


F. Altenbach, H. W. Löllmann, R. Mathar,


        Allpass transformed filter banks provide a non-uniform frequency resolution and can be used in mobile speech processing systems, e.g., cellular phones or digital hearing aids. The nominal design of such
an allpass transformed analysis-synthesis filter bank (AS FB) with near
perfect reconstruction (NPR) is achieved by numerical optimization of
finite-impulse response (FIR) equalizers in each subchannel. The
underlying nominal optimization problem is an equality constrained least-squares problem. In a robust design, we take into account coefficient uncertainty in a possible implementation of such a filter
bank. We will describe this uncertainty by the choice of two simple set-based worst-case uncertainty models, namely a norm bound error model and a coefficient bound error model. When including these error models, both robust designs can be recast as second-order cone programs (SOCP) and
solved efficiently by standard numerical optimization methods.
Furthermore, we will provide design examples to show that both robust
designs maintain a good overall performance with respect to NPR while
offering less sensitivity to quantization errors.

BibTEX Reference Entry 

	author = {Fabian Altenbach and Heinrich Wilhelm L{\"o}llmann and Rudolf Mathar},
	title = "Robust Equalizer Design for Allpass Transformed {DFT} Filter Banks with LTI Property",
	pages = "846-850",
	booktitle = "21st International Symposium on  Personal, Indoor and Mobile Radio Communications ({IEEE} PIMRC)",
	address = {Istanbul, Turkey},
	month = Sep,
	year = 2010,
	hsb = hsb999910016511,


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