mimo ofdm system in matlab

To simulate a MIMO-OFDM system in MATLAB, you can follow these steps:

  1. Define the parameters of the simulation, such as number of subcarriers, cyclic prefix length, number of transmit and receive antennas, modulation type, etc.

  2. Generate random data bits to be transmitted.

  3. Map the data bits to symbols according to the chosen modulation scheme.

  4. Perform space-time coding (if desired) to increase the diversity gain.

  5. Generate the OFDM waveform by performing IFFT on the data symbols.

  6. Insert cyclic prefix to mitigate inter-symbol interference.

  7. Transmit the OFDM signal from the transmitter to the receiver over a MIMO channel.

  8. Add noise and other impairments to the received signal.

  9. Remove the cyclic prefix and perform FFT to recover the data symbols.

  10. Decode the received symbols to recover the transmitted data bits.

Here is some sample MATLAB code that implements the above steps for a 2x2 MIMO-OFDM system with 16-QAM modulation:

main.m
% Define simulation parameters
N = 64; % number of subcarriers
L = 16; % cyclic prefix length
ntx = 2; % number of transmit antennas
nrx = 2; % number of receive antennas
mod_order = 16; % modulation order (16-QAM)
snr = 10; % signal-to-noise ratio (dB)

% Generate random data bits
data_bits = randi([0 mod_order-1], 1, N*ntx);

% Map data bits to symbols
tx_symbols = qammod(data_bits, mod_order);

% Perform space-time coding
tx_symbols = kron(eye(ntx), tx_symbols).' * dftmtx(ntx);

% Generate OFDM waveform
tx_waveform = ifft(tx_symbols, N, 1);

% Insert cyclic prefix
tx_waveform_cp = [tx_waveform(N-L+1:N,:); tx_waveform];

% Transmit over MIMO channel
h = randn(nrx, ntx) + 1i * randn(nrx, ntx); % MIMO channel matrix
rx_waveform_cp = h * tx_waveform_cp;

% Add noise and other impairments
noise_power = 10^(-snr/10);
noise = sqrt(noise_power/2) * (randn(nrx, N+L) + 1i * randn(nrx, N+L));
rx_waveform_cp = rx_waveform_cp + noise;

% Remove cyclic prefix and perform FFT
rx_waveform = rx_waveform_cp(L+1:end,:);
rx_symbols = fft(rx_waveform, N, 1);

% Decode received symbols
rx_symbols = kron(eye(ntx), rx_symbols).' * dftmtx(ntx)';
rx_bits = qamdemod(rx_symbols, mod_order);

% Calculate bit error rate (BER)
errors = sum(rx_bits ~= data_bits);
ber = errors / length(data_bits);
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Note that this is just a basic simulation example and there are many ways to improve the performance of a MIMO-OFDM system, such as using advanced coding schemes, beamforming, precoding, etc.

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