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freqsamp

Real or complex frequency-sampled FIR filter from specification object

Syntax

hd = design(d,'freqsamp')
hd = design(...,'filterstructure',structure)
hd = design(...,'window',window)

Description

hd = design(d,'freqsamp') designs a frequency-sampled filter specified by the filter specifications object d.

hd = design(...,'filterstructure',structure) returns a filter with the filter structure you specify by the structure input argument. structure is dffir by default and can be any one of the following filter structures.

Structure

Description of Resulting Filter

dffir

Direct-form FIR filter

dffirt

Transposed direct-form FIR filter

dfsymfir

Symmetrical direct-form FIR filter

dfasymfir

Asymmetrical direct-form FIR filter

fftfir

Fast Fourier transform FIR filter

hd = design(...,'window',window) designs filters using the window specified in window. Provide the input argument window as

  • The window name in single quotes. For example, use 'bartlett' , or 'hamming'. See window for the full list of available windows.

  • A function handle that references the window function. When the window function requires more than one input, use a cell array to hold the required arguments. The first example shows a cell array input argument.

  • The window vector itself.

Examples

These examples design FIR filters that have arbitrary magnitude responses. In the first filter, the response has three distinct sections and the resulting filter is real.

The second example creates a complex filter.

b1 = 0:0.01:0.18;
b2 = [.2 .38 .4 .55 .562 .585 .6 .78];
b3 = [0.79:0.01:1];
a1 = .5+sin(2*pi*7.5*b1)/4;    % Sinusoidal response section.
a2 = [.5 2.3 1 1 -.2 -.2 1 1]; % Piecewise linear response section.
a3 = .2+18*(1-b3).^2;          % Quadratic response section.
f = [b1 b2 b3];
a = [a1 a2 a3];
n = 300;
d = fdesign.arbmag('n,f,a',n,f,a); % First specifications object.
hd = design(d,'freqsamp','window',{@kaiser,.5}); % Filter.
fvtool(hd)

The plot from FVTool shows the response for hd.

Now design the arbitrary-magnitude complex FIR filter. Recall that vector f contains frequency locations and vector a contains the desired filter response values at the locations specified in f.

f = [-1 -.93443 -.86885 -.80328 -.7377 -.67213 -.60656 -.54098 ... 
-.47541,-.40984 -.34426 -.27869 -.21311 -.14754 -.081967 ... 
-.016393 .04918 .11475,.18033 .2459 .31148 .37705 .44262 ... 
 .5082 .57377 .63934 .70492 .77049,.83607 .90164 1];
a = [.0095848 .021972 .047249 .099869 .23119 .57569 .94032 ... 
.98084 .99707,.99565 .9958 .99899 .99402 .99978 .99995 .99733 ... 
.99731 .96979 .94936,.8196 .28502 .065469 .0044517 .018164 ... 
.023305 .02397 .023141 .021341,.019364 .017379 .016061];
n = 48;
d = fdesign.arbmag('n,f,a',n,f,a); % Second spec. object.
hdc = design(d,'freqsamp','window','rectwin'); % Filter.
fvtool(hdc)

FVTool shows you the response for hdc from -1 to 1 in normalized frequency because the filter's transfer function is not symmetric around 0. Since the Fourier transform of the filter does not exhibit conjugate symmetry, design(d,...) returns a complex—valued filter for hdc .

Introduced in R2009a

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