ResistiveNetwork Analysis

Error Analysis

Error Analysis of One-dimensional Resistive Network

Comparison of two types of circuit for calculating the first order moment.

Conventional type

Resistive network

Configuration of Discrete Coordinate System

Region: [0,D], N nodes, Coordinate at node i:

= Di/(N+1), Input:

The first-order moment is

Perturbation of Resistive value

Assumption:

Results of Analysis

When one input source is ON( = C and =0(when i k))

The error of the resistive network is

The error of the conventional circuit is

takes the maximum value, approximately 1, at k=1 and the minimum, approximately 1/N, at k=N.

itself is the maximum, approximately

, at k=N/2. This is about 1 / (2

) of that of the conventional circuit.

When all inputs have the same value C

The error of the resistive network is

The error of the conventional circuit is

/ is approximately 1/2