Generating discrete time periodic signal in matlab

Question

x[t] is a discrete time periodic signal defined as follows over one period

x[t] = {1 , 2 , 1 , 2 , 3 , 1 , 2 , 3 , 4.....}

I want to generate this as a periodic signal in the interval [0,100] in Matlab. But, I am unable to write a code for this.

I am unsure what you mean by "periodic signal" as the signal you showed there its not periodic, unless you only have shown 1 period. — Ander Biguri, May 01 '21 at 12:20
@AnderBiguri yes it is for 1 period. I have already mentioned this. — Señora Penn, May 01 '21 at 12:52

score 1 · Answer 1 · edited May 01 '21 at 17:24

1

In matlab if you want to generate a periodic signal there many methods one of them is :

%x is array that represent discrete time signal.
%y is generated periodic signal 
%n the number of periods

temp=x'*ones(1,n);
y=temp(:);
% where x' is transpose of x.
% if we suppose x=[1,2,3]
% if we want to repeat it five times we can say n = 5
% then temp will equal [ 1 1 1 1 1
%                        2 2 2 2 2
%                        3 3 3 3 3]
%fianlly y will equal [1 2 3 1 2 3 1 2 3 1 2 3 1 2 3]

edited May 01 '21 at 17:24

Cris Luengo

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answered May 01 '21 at 12:19

AlASAD WAIL

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@AIASAD WAIL The discrete time signal which I have mentioned is different from this one. – Señora Penn May 01 '21 at 12:57
The `repmat` function does this in an easier-to-read manner. – Cris Luengo May 01 '21 at 17:24
@CrisLuengo can you please write the code or give hints? – Señora Penn May 01 '21 at 19:45
@SeñoraPenn send your math equations that you want to represent it . – AlASAD WAIL May 02 '21 at 02:01
@SeñoraPenn send your math equations that you want to represent it . – AlASAD WAIL May 02 '21 at 02:05
@AlASADWAIL this is the equation "over one period" x[t] = {1 , 2 , 1 , 2 , 3 , 1 , 2 , 3 , 4.....}. That is the signal repeats itself after this like x[t] = {1 , 2 , 1 , 2 , 3 , 1 , 2 , 3 , 4, 1 , 2 , 1 , 2 , 3 , 1 , 2 , 3 , 4, ........} – Señora Penn May 02 '21 at 05:42
so there is not a problem with my answer you can make like this : ~ x=[ 1 , 2 , 1 , 2 , 3 , 1 , 2 , 3 , 4]; %or any generated signal temp=x'*ones(1,9); y=temp(:)~ – AlASAD WAIL May 02 '21 at 13:55

ThomasIsCoding · Accepted Answer · 2021-05-02T14:23:06.973

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Maybe you can try arrayfun like below

X = arrayfun(@(k) 1:k, 2:4, "UniformOutput",false);
x = repmat([X{:}],1,2);

which gives

x =

   1   2   1   2   3   1   2   3   4   1   2   1   2   3   1   2   3   4

edited May 02 '21 at 14:23

answered May 01 '21 at 22:29

ThomasIsCoding

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I don't want only this signal, I want this signal to repeat itself. The signal "x" you are getting is over one period. I want to get something like this- x={1 , 2 , 1 , 2 , 3 , 1 , 2 , 3 , 4, 1 , 2 , 1 , 2 , 3 , 1 , 2 , 3 , 4, ......} – Señora Penn May 02 '21 at 05:46
@SeñoraPenn See my update, which have two repetitions for example, and you can have more according to your needs. – ThomasIsCoding May 02 '21 at 14:24

Generating discrete time periodic signal in matlab

2 Answers2