Compute number of symbol errors and symbol error rate
[number,ratio] = symerr(x,y)
[number,ratio] = symerr(x,y,flg
)
[number,ratio,loc] = symerr(...)
The symerr
function compares binary representations
of elements in x
with those in y
.
The schematics below illustrate how the shapes of x
and y
determine
which elements symerr
compares.
The output number
is a scalar or vector that
indicates the number of elements that differ. The size of number
is
determined by the optional input flg
and
by the dimensions of x
and y
.
The output ratio
equals number
divided
by the total number of elements in the smaller input.
[number,ratio] = symerr(x,y)
compares
the elements in x
and y
. The
sizes of x
and y
determine which
elements are compared:
If x
and y
are
matrices of the same dimensions, then symerr
compares x
and y
element
by element. number
is a scalar. See schematic (a)
in the figure.
If one is a row (respectively, column) vector and
the other is a twodimensional matrix, then symerr
compares
the vector element by element with each row (resp., column) of
the matrix. The length of the vector must equal the number of columns
(resp., rows) in the matrix. number
is a column
(resp., row) vector whose mth entry indicates the number of elements
that differ when comparing the vector with the mth row (resp., column)
of the matrix. See schematics (b) and (c) in the figure.
[number,ratio] = symerr(x,y,
is similar to the previous syntax, except that flg
) flg
can
override the defaults that govern which elements symerr
compares
and how symerr
computes the outputs. The values of
flg
are 'overall'
,
'columnwise'
, and 'rowwise'
. The table
below describes the differences that result from various combinations of inputs. In
all cases, ratio
is number
divided by the
total number of elements in y
.
Comparing a TwoDimensional Matrix x with Another Input y
Shape of y  flg  Type of Comparison  number 

Twodim. matrix  'overall' (default)  Element by element  Total number of symbol errors 
'columnwise'  mth column of x vs. mth column of
y
 Row vector whose entries count symbol errors in each column  
'rowwise'  mth row of x vs. mth row of
y
 Column vector whose entries count symbol errors in each row  
Column vector  'overall'
 y vs. each column of x
 Total number of symbol errors 
'columnwise' (default)  y vs. each column of x
 Row vector whose entries count symbol errors in each column
of x
 
Row vector  'overall'  y vs. each row of x
 Total number of symbol errors 
'rowwise' (default)  y vs. each row of x
 Column vector whose entries count symbol errors in each row
of x

[number,ratio,loc] = symerr(...)
returns
a binary matrix loc
that indicates which elements
of x
and y
differ. An element
of loc
is zero if the corresponding comparison
yields no discrepancy, and one otherwise.
On the reference page for biterr
,
the last example uses symerr
.
Compare Elements of Matrix with Another Matrix
x = [1,1,3,1;3,2,2,2;3,3,8,3]
x = 3×4
1 1 3 1
3 2 2 2
3 3 8 3
aMatrix = [1,1,1,1;2,2,2,2;3,3,3,3]
aMatrix = 3×4
1 1 1 1
2 2 2 2
3 3 3 3
[number1,ratio1] = symerr(x,aMatrix)
number1 = 3
ratio1 = 0.2500
Compare Elements of Matrix with Row Vector
x = [1,1,3,1;3,2,2,2;3,3,8,3]
x = 3×4
1 1 3 1
3 2 2 2
3 3 8 3
aRowVector = [1,2,3,1]
aRowVector = 1×4
1 2 3 1
[number2,ratio2] = symerr(x,aRowVector)
number2 = 3×1
1
3
4
ratio2 = 3×1
0.2500
0.7500
1.0000
Compare Elements of Matrix with Column Vector
x = [1,1,3,1;3,2,2,2;3,3,8,3]
x = 3×4
1 1 3 1
3 2 2 2
3 3 8 3
aColumnVector = [1;2;3]
aColumnVector = 3×1
1
2
3
[number3,ratio3] = symerr(x,aColumnVector)
number3 = 1×4
1 0 2 0
ratio3 = 1×4
0.3333 0 0.6667 0
You can specify alternative comparison methods used by symerr
. In this example, you use a flag to override the default rowbyrow comparison. Notice that number and ratio are scalars.
format rat; [number,ratio,loc] = symerr([1 2; 3 4],[1 3],'overall')
number = 3
ratio = 3/4
loc = 2×2
0 1
1 1