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A METHOD FOR CHANNEL EQUALIZATION USING A BASIS EXPANSION MODEL

机译:一种基于基础扩展模型的通道均衡方法

摘要

A method of equalizing a signal received over a transmission channel defined by BEM coefficients of a basis expansion model of its channel taps, comprising the step of approximately solving the relation <math display="block"><mi>y</mi><mfenced open="[" close="]"><mi>n</mi></mfenced><mo>=</mo><mstyle displaystyle="true"><munderover><mo>∑</mo><mrow><mi>m</mi><mo>=</mo><mn>0</mn></mrow><mi>M</mi></munderover></mstyle><msub><mi>B</mi><mi>m</mi></msub><mfenced open="[" close="]"><mi>n</mi></mfenced><mo>⋅</mo><mfenced separators=""><mstyle displaystyle="true"><munderover><mo>∑</mo><mrow><mi>l</mi><mo>=</mo><mn>0</mn></mrow><mrow><mi>L</mi><mo>-</mo><mn>1</mn></mrow></munderover></mstyle><msub><mi>b</mi><mi mathvariant="italic">lm</mi></msub><mo>⁢</mo><mi>x</mi><mo>⁢</mo><mfenced open="[" close="]" separators=""><mi>n</mi><mo>-</mo><mi>l</mi></mfenced></mfenced><mo>+</mo><mi>w</mi><mfenced open="[" close="]"><mi>n</mi></mfenced></math> for x[n] by an iterative method,n being the index of time,y[n] being the received signal,x[n] being the equalized signal,Bm[n] being the mth basis function of the basis expansion model,M being the model order of the basis expansion model, andblm being the BEM coefficient of the mth basis function of the lth channel tap, andw[n] being optional noise.
机译:一种均衡在由其信道抽头的基本扩展模型的BEM系数所定义的传输信道上接收的信号的方法,该方法包括以下步骤:近似求解关系式 <![CDATA [< math display =“ block”> y n = m = 0 M B m n < mi> l = 0 L - 1 b lm x n - l + w n ]]> 对于 x [n] 的迭代方法, n 是时间的索引, y [n]是接收到的信号,x [n]是均衡信号, B m [ n ]是基础扩展模型的第 m 个基础函数,M是基础扩展模型的模型顺序,并且 b lm 是第 l 个通道抽头的第 m 个基函数的BEM系数,并且 w [n] 是可选噪声。

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