f16pskmod: 16-PSK Modulator

In rwirelesscom: Basic Wireless Communications Simulation

Description

Receives a vector of bits (1's and 0's). The received vector is mapped to in-phase (real) and quadrature (imaginary) components, according to a Binary Reflective Gray Code (BRGC, see reference). Each received pair of bits are are mapped to 16-PSK symbols, with Es (symbol energy) = 1.The bit to symbol mapping is illustrated in the following table.

input	output
0000	0
0001	π/8
0011	π/4
0010	3π/8
0110	π/2
0111	5 π/8
0101	3 π/4
0100	7 π/8
1100	-1
1101	-7 π/8
1111	-3π/4
1110	-5 π/8
1010	- π/2
1011	-3 π/8
1001	- π/4
1000	- π/8

Reference: E. Agrell, J Lassing, E. Strom, and T. Ottosson, Gray Coding for Multilevel Constellations In Gaussian Noise, IEEE Transactions on Communications, Vol. 53, No. 1, January 2007

Usage

f16pskmod(bits, Ns = 1, p = 1)

Arguments

bits	- vector of bits (0's and 1's).
Ns	- N samples per symbol (default, Ns = 1)
p	- a vector defining the pulse shape of the transmitted waveform (default, p = 1)

Value

Returns a complex vector of length of 8-PSK symbols. If Ns > 1 then the returned signal is shaped with pulse shape, p.

See Also

Other rwirelesscom functions: eyediagram; f16pskdemod; f16qamdemod; f16qammod; f64qamdemod; f64qammod; f8pskdemod; f8pskmod; fNo; fbpskdemod; fbpskmod; fqpskdemod; iqdensityplot; iqscatterplot; stemplot

Examples

M=16
Nsymbols=20
Nbits=log2(M)*Nsymbols
bits <- sample(0:1,Nbits, replace=TRUE)
s <- f16pskmod(bits)

rwirelesscom documentation built on April 14, 2017, 2:22 p.m.