Huiswerkopgaven 6b - Numerical Problems
4 important questions on Huiswerkopgaven 6b - Numerical Problems
Sketch a signal-space diagram of Gray-encoded 8-PSK and then state the maximum tolerated phase error for a single bit a error
Sketch a signal-space diagram of Gray-encoded M-ary QAM for M = 16.
The binary sequence 11100101 is applied to an ASK modulator. The bit duration is 1 μs and the sinusoidal carrier wave used to represent symbol 1 has a frequency equal to 7 MHz.
(a) Find the transmission bandwidth of the transmitted signal.
(b) Plot the waveform of the transmitted ASK signal.
Assume that the line encoder and the carrier-wave oscillator are controlled by a common clock.
(a) The transmission bandwidth of the BASK signal is effectively defined by BT = 2/Tb where Tb is the bit duration. With Tb = 1 μs, we therefore have:
BT = 2/(10−6) Hz = 2 MHz
(b) The horizontal time axis is in microseconds.
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The binary sequence 11100101 with a bit duration is 1 μs is applied to a QPSK modulator. The carrier frequency is 1 MHz.
• Calculate the transmission bandwidth of the QPSK signal.
• Plot the waveform of the QPSK signal
(a) The transmission bandwidth of the QPSK signal is BT = 2/T = 2/2Tb = 1/Tb where
T is the symbol duration and Tb is the bit duration. With Tb = 1 μs, it follows that
BT = 1/(10−6) Hz = 1 MHz
(b) The horizontal time axis is in microsecond
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