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Erschienen in:
2021 | OriginalPaper | Buchkapitel
2. Intersymbol Interference and Noise
verfasst von : Joachim Speidel
Erschienen in: Introduction to Digital Communications
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Abstract
With the help of the discrete-time equivalent baseband system model we can now get insight into the two major impairments a signal incurs from the transmitter to the receiver, namely intersymbol interference and noise. For that purpose we separate the term for \(m=k\) from the sum in (1.40) and obtain We see that the receive sample q(k) is composed of the transmit symbol a(k) multiplied by h(0) of the discrete-time impulse response h(k), the distortion term and the noise n(k).
$$\begin{aligned} q(k)=a(k)h(0)+\sum _{\begin{array}{c} m=-\infty \\ m\ne k \end{array}}^{\infty }a(m)h\left( k-m\right) +n(k) \end{aligned}$$
$$\begin{aligned} I(k)=\sum _{\begin{array}{c} m=-\infty \\ m\ne k \end{array}}^{\infty }a(m)h\left( k-m\right) \end{aligned}$$