Create Toeplitz matrix
t = toeplitz(a,b)
t = toeplitz(b)
t = toeplitz(a,b) returns a nonsymmetric
Toeplitz matrix having a as its first column and b as
its first row. b is cast to the numerictype of a.
t = toeplitz(b) returns the symmetric or
Hermitian Toeplitz matrix formed from vector b,
where b is the first row of the matrix.
The output fi object t has
the same numerictype properties as the leftmost fi object
input. If the leftmost fi object input has a local
fimath, the output fi object t is
assigned the same local fimath. Otherwise, the output fi object t has
no local fimath.
toeplitz(a,b) casts b into the data type of
a. In this example, overflow occurs:
fipref('NumericTypeDisplay','short'); format short g a = fi([1 2 3],true,8,5) a = 1 2 3 s8,5 b = fi([1 4 8],true,16,10) b = 1 4 8 s16,10 toeplitz(a,b) ans = 1 3.9688 3.9688 2 1 3.9688 3 2 1 s8,5
toeplitz(b,a) casts a into the data type of
b. In this example, overflow does not occur:
toeplitz(b,a)
ans =
1 2 3
4 1 2
8 4 1
s16,10If one of the arguments of toeplitz is
a built-in data type, it is cast to the data type of the fi object.
x = [1 exp(1) pi]
x =
1 2.7183 3.1416
toeplitz(a,x)
ans =
1 2.7188 3.1563
2 1 2.7188
3 2 1
s8,5
toeplitz(x,a)
ans =
1 2 3
2.7188 1 2
3.1563 2.7188 1
s8,5