where denotes the exclusive-or operator, and the bar above a variable indicates the ‘not’ or inversion operator. Q channel symbols are offset (delayed) relative to I channel symbols by one bit period.
2.4.3.1.2 Characteristics Of FQPSK-JR.
FQPSK-JR is a cross-correlated, constant envelope, spectrum shaped variant of FQPSK. It assumes a quadrature modulator architecture and synchronous digital synthesis of the I and Q channel modulating signals as outlined in
Figure 2-1.
![](data:image/png;base64,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)
Figure 2-1. FQPSK-JR Baseband Signal Generator
FQPSK-JR utilizes the time domain wavelet functions defined in United States patent 4,567,602, with two exceptions. The transition functions,
(2-3)
used in the cited patent are replaced with the following transition functions:
(2-4)
where Ts = 2/rb is the symbol period. The digital “JR” spectrum-shaping filter used for each channel is a linear phase, finite impulse response (FIR) filter. The filter is defined in terms of its impulse response sequence h(n) in Table 2-2 and assumes a fixed wavelet sample rate of = 6 samples per symbol. The JRequiv column is the aggregate response of the cascaded JRa and JRb filters actually used.
TABLE 2-2. FQPSK-JR SHAPING FILTER DEFINITION
|
FILTER WEIGHT
|
JRequiv
|
JRa
|
JRb
|
h(0)
|
-0.046875
|
2-2
|
-(2-3 + 2-4)
|
h(1)
|
0.109375
|
h(0)
|
(2-1 + 2-3)
|
h(2)
|
0.265625
|
h(0)
|
h(1)
|
h(3)
|
h(2)
|
-
|
h(0)
|
h(4)
|
h(1)
|
-
|
-
|
h(5)
|
h(0)
|
-
|
-
|
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