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DOCUMENTATION CENTER SEARCH
Function Index
FrequencySamplingFilter
FrequencySamplingFilter[
N
, {
a
_{1}
,
a
_{2}
, ...
}]
returns a linear-phase FIR filter of length
N
given a list of real amplitude values
{
a
_{1}
,
a
_{2}
, ...
}
.
The option
EvenSymmetry
→
True
(the default) results in linear-phase FIR filters with even symmetry.
h[n] = h[N-n]
where
N
is the filter length.
The option
EvenSymmetry
→
False
results in linear-phase FIR filters with odd symmetry, such as Hilbert transformers and differentiators
h[n] = - h[N-n]
where
N
is the filter length.
The option
FrequencySamplingGrid
→
0
(the default) results in a sampling of the frequency domain at points
for i=0,1,...,N-1.
The option
FrequencySamplingGrid
→
1/2
results in a sampling of the frequency domain at points
for i=0,1,...,N-1.
See also User's Guide
9.3
.
Example
This loads the package.
In[1]:=
This returns a length N=15, symmetric, linear-phase FIR lowpass filter with the passband edge at
Hz.
In[2]:=
Out[2]=
In[3]:=
Out[3]=
This returns a length N=8, full-band differentiator. An even-length differentiator is a Type 4 linear-phase FIR filter.
In[4]:=
Out[4]=
This plots the filter's magnitude response.
In[5]:=
Out[5]=
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.