New Considerations for Spectral Classification of Boolean Switching  Functions

<table>An example of computing the spectral coefficients for the function <svg height="16.237499" id="M67" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 174.375 16.237499" width="174.375" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝑓</tspan>
<tspan style="font-size: 12.50px; " x="6.9391651" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="11.102664" y="0">𝑋</tspan>
<tspan style="font-size: 12.50px; " x="20.980034" y="0">)</tspan>
<tspan style="font-size: 12.50px; " x="28.606865" y="0">=</tspan>
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<text transform="matrix(1,0,0,-1,-31.3,62.31)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑥</tspan>
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<text transform="matrix(1,0,0,-1,-24.42,59.18)">
<tspan style="font-size: 8.75px; " x="0" y="0">3</tspan>
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<text transform="matrix(1,0,0,-1,-19.54,62.31)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑥</tspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">1</tspan>
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<tspan style="font-size: 12.50px; " x="0" y="0">+</tspan>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">𝑥</tspan>
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<text transform="matrix(1,0,0,-1,13.2,59.18)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
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<text transform="matrix(1,0,0,-1,18.08,62.31)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑥</tspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">1</tspan>
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<tspan style="font-size: 12.50px; " x="0" y="0">+</tspan>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">𝑥</tspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">3</tspan>
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<text transform="matrix(1,0,0,-1,55.7,62.31)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑥</tspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
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VLSI Design

fig1

Figure 1

Figure 1: New Considerations for Spectral Classification of Boolean Switching  Functions 