Properties of matrix polynomials and MIMO channel identifiability from second order statistics

Ding, Zhi; Qiu, Li

doi:10.1109/cdc.2001.914578

Cited by 1 publication

(1 citation statement)

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“…This should be compared with FSEs with integer oversampling where is the minimum oversampling ratio and, thus, results in the minimum computational overhead. FSEs with fractional oversampling were also treated by Ding and Qiu in the context of blind identification [3]. Although the authors there use a different notation, it can be shown that the problem formulation in [3] is equivalent to the one presented here.…”

Section: Channel Equalization With Fractionally Spaced Equalizersmentioning

confidence: 97%

Fractional biorthogonal partners in channel equalization and signal interpolation

Vrcelj

Vaidyanathan

2003

IEEE Trans. Signal Process.

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Abstract-The concept of biorthogonal partners has been introduced recently by the authors. The work presented here is an extension of some of these results to the case where the upsampling and downsampling ratios are not integers but rational numbers, hence, the name fractional biorthogonal partners. The conditions for the existence of stable and of finite impulse response (FIR) fractional biorthogonal partners are derived. It is also shown that the FIR solutions (when they exist) are not unique. This property is further explored in one of the applications of fractional biorthogonal partners, namely, the fractionally spaced equalization in digital communications. The goal is to construct zero-forcing equalizers (ZFEs) that also combat the channel noise. The performance of these equalizers is assessed through computer simulations. Another application considered is the all-FIR interpolation technique with the minimum amount of oversampling required in the input signal. We also consider the extension of the least squares approximation problem to the setting of fractional biorthogonal partners.

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Section: Channel Equalization With Fractionally Spaced Equalizersmentioning

confidence: 97%