Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Consider the user-defined MATLAB function below, ht_mp_ch(). The function ht_mp_

ID: 2293175 • Letter: C

Question

Consider the user-defined MATLAB function below, ht_mp_ch().
The function ht_mp_ch(), outputs the sampled version of the impulse response hmp(t) of the multipath fading channel as a vector.


function impulse_response=ht_mp_ch(max_delay,L,decay_base,t_step)

t_vector=0:t_step:max_delay;
mp_tmp=0*(t_vector);

path_delays=[0 sort(rand(1,L-1)*max_delay)];
impulse_positions=floor(path_delays/t_step);
mp_tmp(impulse_positions+1)=exp(j*2*pi*rand(1,L));
mp_tmp=mp_tmp.*(decay_base.^(t_vector/max_delay));
impulse_response=mp_tmp/sqrt(sum(abs(mp_tmp).^2));


Explain what the variable on the left-hand side represents and justify how the right-hand side expression is formulated by adding comments to every line.

Explanation / Answer

The above given code in MATLAB which defines and represents as follows:

ht_mp_ch() is a syntax code which is written for a variable

ht_mp_ch() is a variable in which// ht_ denotes a vector and mp_ denotes multipath and ch_ represents channel. in other words it is a multipath fading channel vector.

function impulse_response=ht_mp_ch(max_delay,L,decay_base,t_step)

//The above function represents on impulse function plotting graph = multipath fading vector what is the maximum delay time to be set and decay base time and unit step time and total length L

t_vector=0:t_step:max_delay;

//for each step giving or setting maximum delay

impulse_positions=floor(path_delays/t_step)

//for plotting impulse function the positions setting with path delays with step by step

mp_tmp(impulse_positions+1)=exp(j*2*pi*rand(1,L));

//this represents based on which exponential values it has to increase and decrease the value for multipath in a maximum length L

mp_tmp=mp_tmp.*(decay_base.^(t_vector/max_delay));

// it is a decay base means the value where it has to decrease the graph and the vector to maximum delay value

impulse_response=mp_tmp/sqrt(sum(abs(mp_tmp).^2));

//the above is the final plotting graph in impulse by using the above formula