MATLAB Code for Rms Delay Spread

RMS delay spread is crucial when you need to know how much the signal is dispersed in time due to multipath propagation, the spread (variance) around the average. In high-data-rate systems like LTE, 5G, or Wi-Fi, even small time dispersions can cause ISI. RMS delay spread is directly related to the amount of ISI in such systems.

RMS Delay Spread [↗]

Delay Spread Calculator

Enter delays (ns) separated by commas:

Enter powers (dB) separated by commas:

MATLAB Code 

clc;
clear all;
close all;

% Sample impulse response of the communication channel (replace this with your data)
impulse_response = randn(1, 1000); % Example impulse response of length 1000

% Sampling interval (replace this with your sampling interval if known)
sampling_interval = 1; % Assume 1 for simplicity

% Calculate the delay values (in samples)
delays = (0:length(impulse_response)-1) * sampling_interval;

% Compute the RMS delay spread
rms_delay_spread = std(delays);

figure();
plot(impulse_response)

% Optionally, convert delay spread to a unit of time (e.g., microseconds)
% Assuming sampling_interval is in seconds
sampling_interval_microseconds = sampling_interval * 1e6; % Convert to microseconds
rms_delay_spread_microseconds = rms_delay_spread * sampling_interval_microseconds;

% Display the results
fprintf('RMS Delay Spread: %.2f samples or %.2f microseconds\n', rms_delay_spread, rms_delay_spread_microseconds);

Output

RMS Delay Spread: 288.82 samples or 288819436.10 microseconds

 

 

 

 

Fig: Channel Impulse Response for the above Code 

 

 

 

Copy the MATLAB Code from here

clc; clear all; close all; % Sample impulse response of the communication channel (replace this with your data) impulse_response = randn(1, 1000); % Example impulse response of length 1000 % Sampling interval (replace this with your sampling interval if known) sampling_interval = 1; % Assume 1 for simplicity % Calculate the delay values (in samples) delays = (0:length(impulse_response)-1) * sampling_interval; % Compute the RMS delay spread rms_delay_spread = std(delays); figure(); plot(impulse_response) % Optionally, convert delay spread to a unit of time (e.g., microseconds) % Assuming sampling_interval is in seconds sampling_interval_microseconds = sampling_interval * 1e6; % Convert to microseconds rms_delay_spread_microseconds = rms_delay_spread * sampling_interval_microseconds; % Display the results fprintf('RMS Delay Spread: %.2f samples or %.2f microseconds\n', rms_delay_spread, rms_delay_spread_microseconds);