I need to code a signal.

There is a signal which I need to code.

how do I code it so that I can do operations such as shifting its time or scaling it etc.?

x(t) = t for 0<=t<=1
       0 for other values of t.

I tried this but it does not work.

function y=x(time,timeshift)

    t_length=length(time);
        if(time(index)>=-timeshift)
            if(time>0)&&(time<=1)
                y(index)=time;
            else
                y(index)=0;
            end
        end
    end

Please help.

[KALYAN ACHARJYA]

Check here

Answer 1

[Walter Roberson]

syms t
scale_signal = @(signal, scale_factor) signal * scale_factor;
shift_time = @(signal, time_shift) symfun( signal(t-time_shift), t );

x(t) = piecewise(0 <= t & t <= 1, t, 0);

result(t) = scale_signal( shift_time( x, 0.75 ), 13 )
fplot(result,[-2 2])

[Pranava J K]

what exactly is syms? and what is symfun?

[Walter Roberson]

https://www.mathworks.com/help/symbolic/syms.html

https://www.mathworks.com/help/symbolic/symfun.html

[Pranava J K]

How do I reverse the time of the signal, i.e. a mirror image along the y-axis

[Walter Roberson]

reverse_time = @(signal) symfun( signal(-t), t );

result(t) = scale_signal( shift_time( reverse_time(x), 0.75 ), 13 )
fplot(result,[-2 2])

Answer 2

[Niyamul Islam Sajal]

function y=x(time,timeshift)
    t_length=length(time);
        if(time(index)>=-timeshift)
            if(time>0)&&(time<=1)
                y(index)=time;
            else
                y(index)=0;
            end
        end
    end

[Walter Roberson]

index is not defined in the function.

What value is assigned to y(index) in the case that time(index) < -timeshift ?