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ztrans

Z transform

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

ztrans(f, n, z)

Parameters

f

-

expression

n

-

name

z

-

name

Description

• 

The function ztrans finds the Z transformation of f(n) with respect to z. Formally,

ztransfn,n,z=n=0fnzn

• 

ztrans recognizes and specially handles a large class of expressions, and only resorts to using the definition to calculate the transformation if the given expression has an unknown form. If the Z transform of the given expression cannot be found in a closed form, then the left-hand side of the formal definition is returned, rather than the right-hand side.

• 

The functions referred to in the literature as Delta and Step may be simulated in this function as charfcn[0](...) and Heaviside(...), respectively.

Examples

ztransfn+1,n,z

zztransfn,n,zf0z

(1)

ztranssinπt2,t,z

zz2+1

(2)

ztrans3nn!,n,w

ⅇ3w

(3)

ztransβ5nn2+3n+1,n,z

β15z15z+115z13+35z15z12+15z15z1

(4)

ztranscharfcn[5]tΨt,t,w

2512γw5

(5)

ztransnHeavisiden3,n,z

3z2z2z12

(6)

ztransinvztransfz,z,n,n,z

fz

(7)

See Also

charfcn

Heaviside

inttrans[laplace]

invztrans

rsolve

 


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