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ztrans

  

Z-transform

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

ztrans(M)

ztrans(M,z)

ztrans(M,n, z)

Parameters

M

-

array or expression

n

-

variable

z

-

variable

Description

• 

F = ztrans(f) is the Z-transform of the scalar f with default independent variable n.  If f is not a function of n, then f is  assumed to be a function of the independent variable returned by findsym(f,1). The default return is a function of z.

• 

If f = f(z), then ztrans returns a function of w.

• 

By definition, Fz=n=0fnzn where the summation above proceeds with respect to z.

• 

ztrans(f,w) makes f a function of the variable w instead of the default z.

• 

ztrans(f,k,w) takes f to be a function of k instead of the default n. The summation is then with respect to w.

• 

The ztrans(M) function computes the element-wise Z-transform of M.  The result, R, is formed as R[i,j] = ztrans(M[i,j], n,z).

Examples

withMTM:

ztranssinπ2n

zz2+1

(1)

ztranssinπ2z

ww2+1

(2)

ztranssinπ2n,s

ss2+1

(3)

ztransksinπ2n,k,s

sinπn2ss12

(4)

MMatrixsinπ2n,ksinπ2n:

ztransM

zz2+1kzz2+1

(5)

See Also

MTM[findsym]

MTM[fourier]

MTM[iztrans]

MTM[laplace]

ztrans