how to Illustrate the wave forms for data “101001000111010011110100” by using 2 bit AM + 1 bit PM
To illustrate the wave forms for the given data "101001000111010011110100" using 2-bit AM (Amplitude Modulation) and 1-bit PM (Phase Modulation), follow these steps:
Step 1: Understand the Data
The given data is a binary sequence consisting of 0s and 1s: "101001000111010011110100". Each digit represents a bit.
Step 2: Assign Amplitude Values
In 2-bit AM, we assign specific amplitude values to each pair of bits. Let's assume the following assignments:
00 - Amplitude A1
01 - Amplitude A2
10 - Amplitude A3
11 - Amplitude A4
Step 3: Create the AM Waveform
Using the assigned amplitude values, map the binary sequence to the corresponding amplitudes. For example:
"10" - A3
"10" - A3
"10" - A3
"00" - A1
"11" - A4
And so on...
Represent each amplitude value as a vertical line on a graph, considering the time axis as the horizontal axis.
Step 4: Assign Phase Values
In 1-bit PM, we assign different phase values to each bit. Let's assume the following assignments:
0 - No Phase Shift (θ1)
1 - π/2 Radians Phase Shift (θ2)
Step 5: Create the PM Waveform
Using the assigned phase values, map the binary sequence to the corresponding phase shifts.
For example:
"1" - θ2
"0" - θ1
"1" - θ2
"0" - θ1
And so on...
Represent each phase value as a horizontal line on the graph, indicating the phase shift at that time.
Step 6: Combine AM and PM Waves
Overlay the AM and PM waveforms on the same graph to illustrate the waveforms for the given data.
Ensure that the time intervals for each bit or pair of bits are evenly spaced to show the sequence clearly.
By following these steps, you can illustrate the waveforms for the given binary data using 2-bit AM and 1-bit PM modulation.