📄 ofdm_basic.m
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%+----------------------------------------------------------------+
%| |
%| Name: ofdm.m |
%| Author: Mathew Liu, James Shen |
%| Description: Basic OFDM model used for simulation purposes. |
%| This is meant to provide a skeleton for further |
%| implmentations. Channel estimates, Equalizers and bandpass |
%| models will be built on top of this. |
%| Requirements: closest.m, qammod.m, qamdemod.m |
%| |
%+----------------------------------------------------------------+
% We assume that with are using 64 length FFT with 64 subcarriers all carrying
% data. So there are no carriers specifically assigned to pilot.
clear all;
close all;
%============= Some standard Hyperlan Params ======================
%--- These params are not used in this particular model------------
T = 50e-9; % System sampling period
fs = 1/T; % System sampling freq = 20MHz
Tcp = 16*T; % CP period
Tu = 64*T; % Useful symbol period
Ts = Tu+Tcp; % OFDM Symbol period 80 samples
delta_f = 0.3125e6; % Frequency spacing
%============== Our params based on Hyperlan/2 ====================
FFTLen = 64; % Length of FFT.
CPLen = 16; % Length of Cyclic Prefix
M = 4; % Bits encoded in a QAM symbol.
%+----------------------------------------------------------------+
%| OFDM TRANSMITTER |
%+----------------------------------------------------------------+
%======== Data Generation =========================================
input = rand(1,FFTLen*M) > 0.5; % Binary data generation
%======== Serial To Block (FFTLen, M) =============================
input_para = reshape(input,FFTLen,M);
%======== Baseband Modulation =====================================
input_symbols = qammod(input_para,FFTLen, M);
%================= IFFT ===========================================
input_time_para = ifft(input_symbols);
%================ Parallel to Serial ==============================
input_time_serial = reshape(input_time_para,1,FFTLen); % Time domain signal
%============= Gaurd Interval Removal (GII) ======================
input_ext = [input_time_serial((FFTLen-CPLen+1):FFTLen),input_time_serial];
%+----------------------------------------------------------------+
%| CHANNEL MODEL |
%+----------------------------------------------------------------+
%=============== Pass Through Rayleigh Channel ==========
output_ext = filter(1, 1, input_ext); % Does nothing at the moment.
%+----------------------------------------------------------------+
%| OFDM RECEVIER |
%+----------------------------------------------------------------+
%============== Gaurd Interval Removal (GIR) ======================
output_time_serial = output_ext((CPLen+1):FFTLen+CPLen);
%======== Serial To Parallel ======================================
output_time_para = reshape(output_time_serial,FFTLen,1);
%================= FFT ============================================
output_symbols = fft(output_time_para);
%================= Baseband Demodulation ==========================
output_para = qamdemod(output_symbols,FFTLen, M);
%================ Parallel to Serial ==============================
output = reshape(output_para,1,FFTLen*M); % Time domain signal
%================ Error Calculation ===============================
% Error is ZERO, so it works.
error1= input - output;
figure(1);
semilogy(abs(error1).^2);
%====================== End File ==================================
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