2.3 Pulse Shaping Filter

The given Raised cosine filter is

It is implement as SQRC for evaluating the performance of the three modulation schemes.

2.4 Noise

The noise variance is calculated according to Eb/No and in this project we added  AWGN noise and it is calculated by multiplying the noise variance with the matrix containing the random number with zero mean and that variance is equal to one. The noise is then added to the transmitted signal to get noisy signal.

2.5 Matched Filter

Now the transmitted signal is noisy signal and it is passed through the matched filter where it samples every T Seconds (For rectangular pulse shaping the sampling time T=1, for  SQRC the sampling time T=4)

2.6 Decision

This block recovers the bits from the received samples. This block compares the received point with the thresholds to find the region in which the point lies and then decided the signal. After making the decision it then converts the received signal to the respective bits.

2.7 Comparison

The transmitted bits are compared to the received bits to find the erroneous bits and finally the bit error rate is calculated using the below formula