PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB

Time Domain Representation of Continuous and Discrete Signals 51

wk10 = kaiser(31,10);

plot(n,wk3,’*’,n,wk7,’d’,n,wk10,’o’);

hold

plot(n,wk3,n,wk7’,n,wk10);

title(‘KAISER windows for \beta=3,7, and 10 ‘);

xlabel(‘points n’);

ylabel(‘Amplitude’)

legend(‘\beta:3’,’\beta:7’,’\beta:10’);

The script fi le Kaisers is executed and the resulting plots are shown in Figure 1.41.

Observe from Figure 1.41 that the larger the β the sharper the shape.

R.1.159 The script fi le win_tri_rect_bar returns the plots of the triangular, rectangular, and

Bartlett window plots using an N = 31 approximation. The resulting plots are

shown in Figure 1.42.

MATLAB Solution

% Script file: win _ tri _ rect _ bar

% This file returns the plots of the

% TRIANGULAR, RECTANGULAR and

% BARTLETT windows

% using a 31 point approximation

%**************************************

clc; clf;

n = -15:1:15;

KAISER windows for β= 3, 7, and 10

1

0.8

0.7

0.6

0.5

0.4

0.3

0.2

0.1

0

0.9

− 15 −^10 −^5051015

Amplitude

β:3

β:7

β:10

points n

FIGURE 1.41

Plots of the Kaiser windows of R.1.158.