# Definitions for z-transformz-trans·form

### WiktionaryRate this definition:1.0 / 1 vote

1. Z-transformnoun

transform that converts a discrete time-domain signal into a complex frequency-domain representation

### WikipediaRate this definition:0.0 / 0 votes

1. Z-transform

In mathematics and signal processing, the Z-transform converts a discrete-time signal, which is a sequence of real or complex numbers, into a complex frequency-domain (z-domain or z-plane) representation.It can be considered as a discrete-time equivalent of the Laplace transform (s-domain). This similarity is explored in the theory of time-scale calculus. Whereas the continuous-time Fourier transform is evaluated on the Laplace s-domain's imaginary line, the discrete-time Fourier transform is evaluated over the unit circle of the z-domain. What is roughly the s-domain's left half-plane, is now the inside of the complex unit circle; what is the z-domain's outside of the unit circle, roughly corresponds to the right half-plane of the s-domain. One of the means of designing digital filters is to take analog designs, subject them to a bilinear transform which maps them from the s-domain to the z-domain, and then produce the digital filter by inspection, manipulation, or numerical approximation. Such methods tend not to be accurate except in the vicinity of the complex unity, i.e. at low frequencies.

### WikidataRate this definition:5.0 / 1 vote

1. Z-transform

In mathematics and signal processing, the Z-transform converts a time-domain signal, which is a sequence of real or complex numbers, into a complex frequency-domain representation. It can be considered as a discrete-time equivalent of the Laplace transform. This similarity is explored in the theory of time scale calculus.

### Numerology

1. Chaldean Numerology

The numerical value of z-transform in Chaldean Numerology is: 7

2. Pythagorean Numerology

The numerical value of z-transform in Pythagorean Numerology is: 6

### Examples of z-transform in a Sentence

1. We have refocused the bank on Africa, and definitely one part of the puzzle was missing, which is francophone Africa, right now we think is a good time to transform the rep office into a full branch of the group.

2. We will arrange free services at cemeteries, the staff will offer free tomb cleaning and free flowers, we want to encourage people to transform social traditions amid the coronavirus outbreak.

3. This humanitarian truce now must transform into a permanent ceasefire and all violence must end no matter where it is ... in this spirit, I ask all parties to renew their commitment to this humanitarian truce for another five days.

4. The EV future is going to transform over the next few decades, and we want to be able to grow the capacity as the EV market expands.

5. These political meetings will not only help the stability in the post-election period but will also help to gently transform into a new political ground.

## Translations for z-transform

### From our Multilingual Translation Dictionary

• z- تحويل
• z-donüşümü
• زیڈ ٹرانسفارم

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"z-transform." Definitions.net. STANDS4 LLC, 2024. Web. 9 Aug. 2024. <https://www.definitions.net/definition/z-transform>.

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