MATLAB SIGNAL PROCESSING TOOLBOX 6 Uživatelský manuál Strana 23
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Hodnocené. / 5. Na základě hodnocení zákazníků
The Dirichlet Function
2-15
The Dirichlet Function
The toolbox function diric computes the Dirichlet function, sometimes called the
periodic sinc or aliased sinc function, for an input vector or matrix x. The Dirichlet
function, D(x) is:
D x
Nx
N x
x k k
x
k N
( )
sin( / )
sin( / )
, , , , , ,...
( ) ,
( )
=
π = ± ± ±
-
-
2
2
2 0 1 2 3
1
1
p
== = ± ± ±
Ï
Ì
Ô
Ó
Ô
2 0 1 2 3
p
k k, , , , ,...
where N is a user-specified positive integer. For N odd, the Dirichlet function has a
period of 2π; for N even, its period is 4π. The magnitude of this function is (1/N) times the
magnitude of the discrete-time Fourier transform of the N-point rectangular window.
To plot the Dirichlet function over the range 0 to 4π for N=7 and N=8, use
x = linspace(0,4*pi,300);
subplot(2,1,1)
plot(x,diric(x,7))
axis tight
title('n = 7')
subplot(2,1,2)
plot(x,diric(x,8))
axis tight
title('n = 8')
- Signal Processing Toolbox™ 1
- Getting Started Guide 1
- How to Contact MathWorks 2
- Revision History 3
- Contents 5
- Overview 7
- 1 Overview 8
- Representing Signals 10
- Multichannel Signals 14
- Common Periodic Waveforms 15
- Common Aperiodic Waveforms 17
- The pulstran Function 19
- The Sinc Function 21
- The Dirichlet Function 23
- Working with Data 25
- Selected Bibliography 26
- Periodograms.” IEEE 27
- 1967. pp.70–73 27
- Design a Filter Using fdesign 31
- Introduction 40
- Designing the Filter 41
- Designing the Filter 43
- Analyzing the Filter 45
- Designing Additional Filters 47
- Viewing the Filter in FVTool 48
- Using FVTool for Annotation 52
- Filtering with dfilt 55
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