"Functional Concept"

Functional Concept

Functional Specification Requirement

From Specifications I need an accurate input impedance and an accurate voltage to current function.

My input ports need to be floating and my output ports need to be balanced

In the below calculations I have adjusted the gain of an ABCD function to reflect a balanced ABCD function

\begin{equation} \frac{I_{out}}{V_{in}}=\frac{1}{A R_{\ell} + B + C R_{\ell} R_{s} + D R_{s}} \end{equation}

\begin{equation} \frac{V_{in}}{I_{in}}=\frac{- A R_{\ell} - B}{- C R_{\ell} - D} \end{equation}

For an Input Impedance that is independent of the load resistance I need A=C=0.

\begin{equation} B=\frac{Z_{i}}{A_{y} R_{s} + A_{y} Z_{i}} \end{equation} \begin{equation} D=\frac{1}{A_{y} R_{s} + A_{y} Z_{i}} \end{equation}

From the Specifications I want the input impedance to equal the Source Resistance; so I can simplify:

\begin{equation} B=\frac{0.5}{A_{y}} \end{equation} \begin{equation} D=\frac{0.5}{A_{y} Z_{i}} \end{equation}

Table designequations specification
symbol	description	value	units
$B_{eq}$	Typical Voltage -> Current Gain	$\frac{0.5}{A_{y}}$	$\mathrm{\frac{V}{A}}$
$D_{eq}$	Typical Current -> Current Gain	$\frac{0.5}{A_{y} Z_{i}}$	$\mathrm{1}$

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Last project update: 2023-11-25 20:52:48