Simulation Using the rayleighchan Function

Resource Overview

When simulating with the rayleighchan function, it is essential to perform phase compensation at the final stage (a critical observation noted by the advisor). The procedural steps involve: generating random sequences, creating a Rayleigh fading channel, modulating the signal, retaining channel characteristics, transmitting the signal through the channel, applying phase compensation, adding Gaussian noise, demodulating the signal, calculating simulated bit error rate (BER), computing theoretical BER, and plotting BER curves in distinct colors for comparative analysis.

Detailed Documentation

When conducting simulations using the rayleighchan function, it is crucial to perform phase compensation at the final stage (this issue was identified by the advisor). The following steps outline the program flow:

- Generate random bit sequences using functions like randi or randn to create input data streams

- Create a Rayleigh fading channel object using rayleighchan with specified parameters such as Doppler shift and delay profile

- Apply modulation techniques (e.g., BPSK, QPSK) using modulate function or equivalent methods

- Store channel characteristics using channel state information for subsequent compensation

- Transmit the modulated signal through the Rayleigh channel using the filter function

- Implement phase compensation algorithms to correct signal distortion caused by fading

- Add AWGN (Additive White Gaussian Noise) using awgn function with specified SNR levels

- Perform demodulation using appropriate demodulation techniques matching the modulation scheme

- Calculate simulated BER by comparing original and received bits using bit error rate functions

- Compute theoretical BER using closed-form expressions for Rayleigh fading channels

- Plot BER versus SNR curves using different colors and markers for clear comparison between simulated and theoretical results