PZ Studio — poles & zeros for loop compensation

Input

transfer function in s (component names stay symbolic)

netlist — Lcapy or LTspice export (auto-detected & converted)

Upload a netlist

Automatic loop break

break node

driver terminal to inject

negate return ratio

Choose a non-ground node and the terminal that drives it.

input node + / −

output node + / −

gain block → E n+ n- nc+ nc- A · gm cell → G n+ n- nc+ nc- gm · omit a value to keep it symbolic

Fast numeric analysis for large netlists

Symbolic mode keeps component expressions. Fast numeric mode avoids symbolic expression swell.

component values (comma or new line separated)

Readability

Equation size 17px

Pole/zero size 14px

Number notation

Significant digits 4

Drag the lower-right corner of any card or plot to resize it.

Component values (blank = symbolic; suffixes or expressions: 10k, 0.1*Cdut)

Exact expanded transfer function H(s)

show exact H(s)

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DC gain —

Factored forms

Bode / design	—
(s+ω) form	—
exact root factors	— Cubic/quartic radical forms can be very large.

approximate factoring assumes real, well-separated roots — check Q below when two corners come close

Zeros

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Poles

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After values are entered, z1/p1 onward are assigned from lowest to highest exact numerical root frequency. Exact and approximate rows are remapped to those same plot IDs.

Numeric (needs all values)

fill the values table to get frequencies in Hz

Sensitivities S = (x/ω)(∂ω/∂x)

S = −1 means the corner moves inversely 1:1 with that component (double it → corner halves)

PZ Studio — poles & zeros, symbolically · build 2026.07.15-r17

Exact expanded transfer function H(s)

Factored forms

Zeros

Poles

Numeric (needs all values)

Sensitivities S = (x/ω)(∂ω/∂x)

Live component sliders

Bode

Pole-zero constellation (log frequency)

s-plane

Sweep a component

Inverse design — put a corner where you want it