Full-wave rectified sine wave with gaps

Hello everybody, can someone explain to me how to make graph like this in Mathlab?

Answer 1

[Star Strider]

One approach —

Fs = 1000;
L = 1;
t = linspace(0, Fs*L, Fs*L+1).'/Fs;

s = abs(sin(2*pi*t));

idx8 = numel(s) / 8;
t8 = max(t) / 8;

idxv = round(idx8 * cumsum([3 1 3 1]));
tv = t8 * cumsum(([3 1 3 1]));

sv = s;
sv(idxv(1) : idxv(2)) = 0;
sv(idxv(3) : idxv(4)) = 0;

figure
plot(t, s)
grid
axis('padded')
title('Original Full-Wave Rectified Sine Wavve')

figure
plot(t, sv)
grid
axis('padded')
title('Desired Waveform')

EDIT — (25 Aprr 2025 at 18:12)

Extending this is relatively straightforward, and rrequires only minor modifications —

Fs = 1000;
L = 5;
t = linspace(0, Fs*L, Fs*L+1).'/Fs;

s = abs(sin(2*pi*t));

idx8 = numel(s) / 8;
t8 = max(t) / 8;

idxv = round(idx8 * cumsum(repmat([3 1 3 1]/L,1,L)));
tv = t8 * cumsum(repmat([3 1 3 1]/L,1,L));

sv = s;
idxm = reshape(idxv, 2, []).';
for k = 1:size(idxm,1)
    sv(idxm(k,1) :  idxm(k,2)) = 0;
end

figure
plot(t, s)
grid
axis('padded')
title('Original Full-Wave Rectified Sine Wavve')

figure
plot(t, sv)
grid
axis('padded')
title('Desired Waveform')

The 'L' parameter is a repitition constant.

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