Simulation of a transmission system with a 4-fsk modulation scheme; using non-coherent detection method and an awgn channel.

System description:

1. Input:

A. Random binary signal with 0's and 1's.

B. converting binary input to a 4-symbol (00,10,01 and 11) input

2. Modulation:

A. Modulating the input symbols with 4 different modulating-frequencies

B. Mixing the modulated signal with the carrier wave that has a carrier frequency of fc (fc=150, 500 kHz)

C. passing the signal through a bandpass filter (raised cosine) (transmission filter) with bandwidth equal to the four symbols bands together.

3. Channel:

A. passing the signal through an AWGN channel with SNR range (0-13 dB) in 1-dB step

4. Detecting

A. Using a non-coherent detector to detect the received signal which consists of: 4-bandpass filters (raised cosine and no ISI effect) compatible with each frequency of each different symbol and 4 envelope detectors.

B. Comparing the 4-different results and find the maximum value that represents the sent symbol.

5. Error Calculations and simulations:

A. BER calculations for all iterations

B. SER calculations for all iterations

C. Probability of error for all iterations