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Matt L.
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Defining Bxbound on input signal to test an accumulator for BIBO stability/BIBO

Not sure if this belongs on the Mathematics stack or here, but here goes.

For an accumulator, defined as shown in the image below, why would I define Bx=1$B_x=1$? u[n]$u[n]$ is defined at zero so my (possibly misguided intuition) is telling me that I'd choose Bx = 0$B_x = 0$ to not eliminate that point.

description of a dsp accumulator's stability

Defining Bx to test an accumulator for stability/BIBO

Not sure if this belongs on the Mathematics stack or here, but here goes.

For an accumulator, defined as shown in the image below, why would I define Bx=1? u[n] is defined at zero so my (possibly misguided intuition) is telling me that I'd choose Bx = 0 to not eliminate that point.

description of a dsp accumulator's stability

Defining bound on input signal to test accumulator for BIBO stability

For an accumulator, defined as shown in the image below, why would I define $B_x=1$? $u[n]$ is defined at zero so my (possibly misguided intuition) is telling me that I'd choose $B_x = 0$ to not eliminate that point.

description of a dsp accumulator's stability

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Defining Bx to test an accumulator for stability/BIBO

Not sure if this belongs on the Mathematics stack or here, but here goes.

For an accumulator, defined as shown in the image below, why would I define Bx=1? u[n] is defined at zero so my (possibly misguided intuition) is telling me that I'd choose Bx = 0 to not eliminate that point.

description of a dsp accumulator's stability