how do i use Compressive sensing to recover my signal?

i have code below and i need to use compressive sensing to recover the signal from the random samples i have taken. can anyone help?

fo=4
fs=100
ts=1/fs 
t=0:ts:1-ts
n=length(t)
y=2*sin(2*pi*fo*t)
plot(t,y)
numberOfSamplesToTake = 20;
a = randperm(numel(y));
sampleIndexes = a(1:numberOfSamplesToTake);
% Plot the samples;
ts = t(sampleIndexes)
ys = y(sampleIndexes)
plot(ts, ys, 'r*')
YfreqDomain=fft(ys)
stem(abs(YfreqDomain))

Answer 1

[Star Strider]

This Matlab Compressive Sensing Tutorial seems to have a number of resources.

Answer 2

[Tinkul]

You can use l1-magic...