16-PSK modulation assignment
Task: You are given the following 16-PSK modulation parameters: • The bitstream to be transmitted is 1010110011011101 (16 bits). • The carrier frequency 𝑓𝑐 is 1 MHz. • The symbol rate 𝑅𝑠 is 1 kHz. By using MATLAB:
- Generate the bitstream and group it into 4-bit symbols for 16-PSK modulation.
- Map the 4-bit symbols to phase angles (0° to 360°) corresponding to the 16 distinct phases in 16-PSK.
- Generate the modulated signal for transmission using the carrier frequency and the phase shifts.
- Show the truth table and plot the constellation diagram to visualize the 16-PSK modulation.
The outptut is shown as:
Due to too compacting of wave in single unit. we decided to zoom in the carrier signal and also modulated signal by using
the following code. which the 
target time is represent the target time unit we trying to look at.
The following graph shows the zoomed in version of carrier signal:
And the following graphs show the zoomed in version of the modulated signal at time=1ms, 2ms, 3ms and 4ms.
And the demodulated signal waveform should looks like this:
The constellation diagram and truth table:
