MATLAB Code Implementation for OFDM System Simulation

To initialize the OFDM system simulation, we begin by generating a random binary sequence (0-1) using MATLAB's random number generation functions such as randi() or rand(). This sequence undergoes serial-to-parallel conversion where the data is segmented into multiple parallel streams, typically implemented using matrix reshaping operations.

The next stage involves constellation mapping (e.g., QPSK, 16-QAM) where binary data is converted to complex symbols. For improved spectral efficiency, we implement conjugate symmetric oversampling before applying IFFT using MATLAB's ifft() function with appropriate zero-padding. Cyclic prefix and suffix addition is crucial for mitigating inter-symbol interference, achieved through matrix concatenation operations. A windowing function (e.g., Hanning window) is applied using element-wise multiplication to reduce spectral leakage before parallel-to-serial conversion.

The transmitted signal then passes through a multipath channel model, simulating delay profiles using MATLAB's filter() or conv() functions. Additive White Gaussian Noise (AWGN) is introduced using awgn() function or manual implementation with randn(). After serial-to-parallel conversion and cyclic prefix removal, FFT transformation is performed using fft() function for frequency domain equalization.

Downsampling operations reduce the sampling rate while maintaining signal integrity using decimation techniques. Finally, demapping converts complex symbols back to binary data using minimum distance decision criteria, enabling Bit Error Rate (BER) calculation through comparison with the original sequence using bit error analysis functions.