echo generator function assignment

The task is to given an input column vector (with values between -1 and 1 representing the digitized data), fs the sampling rate, delay to represent the delay of the echo in seconds, amp specifying the amplification of the echo, to add this echo to the original signal after delay seconds.

Other information given is:

• the output vector will be longer than the input vector when the delay is nonzero- round to the nearest number of points needed to get the delay, as opposted to floor or ceil.
• if the echo causes some values to be outside of the range -1 to 1, scale the entire vector retaining their relative amplitudes.

Below is the code I have so far. One simple test for the assignment which my code fails is the case:

input= [-0.5; 0; 0.5; 0] and the following parameters: fs = 1, delay: 0.0 seconds, amp = 0.5

For this, I thought the answer should be: [-0.25;0;0.25;0] which my code DOES yield. So I'm wondering if I've mis understood the task also tbh?

Aside from that, for the amplitude rescaling, where i've put 'if norm(input(a)) > 1', from playing around in matlab outside of this function in the live script, I dont think how I've wrote it, in terms of a, some arbitary variable, works? But I'm unsure how to write it without this?

This is what I have wrote so far...

function [output]=echo_gen(input,fs,delay,amp)


N = length(input); % sample lenth
%time = N/fs ;% total time span of audio signaltif
%dt * d=delay

lowerlimit=floor(delay*fs);


M=N+lowerlimit;

%implementingtheecho
length(((lowerlimit+1):M));
length((1:N));
input((lowerlimit+1):M)=amp*input(1:(N));

%condition to check amps and scale relative amps if over

a=[];
if norm(input(a)) > 1
    %conditiontoscale
    c=max(abs(input))
    %solve for the sf s.t c*sf=1
    sf=1/c
    input=input*sf;
else
   
    output=input;
    
end
output=input;
end

Answer 1

[Sara Ismail-Sutton]

bump ! any help really appreciated :)