z-plane

[/ˈzɛd pleɪn/ or /ˈziː pleɪn/]
nounpl: z-planes
plano-z
1. In mathematics and signal processing, a complex plane where the horizontal axis represents the real part and the vertical axis represents the imaginary part of complex numbers, used in digital signal processing and control theory
The poles of the transfer function are plotted on the z-plane to determine system stability.
Os polos da função de transferência são plotados no plano-z para determinar a estabilidade do sistema.
2. The frequency domain representation used in discrete-time signal processing, analogous to the s-plane in continuous-time systems
Digital filter design involves analyzing the location of zeros and poles in the z-plane.
O projeto de filtros digitais envolve analisar a localização dos zeros e polos no plano-z.
This is a specialized technical term used primarily in engineering, mathematics, and physics education and research. It is language-neutral in its core meaning but essential terminology in digital signal processing courses taught globally, including in Brazilian universities and technical institutions.
Synonyms / Sinônimos
complex z-planediscrete frequency domainz-transform plane
Antonyms / Antônimos
s-planecontinuous-time domain

Regional Variations

General Brazilian
plano-z
Standard technical term used in engineering and mathematics education
Portugal
plano-z
Same terminology used in Portuguese technical literature
USA/Technical English
z-plane
Standard term in digital signal processing and control systems literature

Related Words

z-transformdiscrete-time signal processingdigital filtertransfer functionpole-zero plotstability regions-plane

Related Idioms & Phrases

unit circle in the z-plane
inside the unit circle
outside the unit circle
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