FIGURE 78.5 Six-stage binary shift register PN generator. One Period FIGURE 78.6 Output of a six-stage maximal length BSR. Binary Shift Register Sequence Generator Clock FIGURE 78.7 M-ary PN sequence generator Colored Gaussian Clock FIGURE 78.8 Generation of Gaussian noise a problem. If it is a concern, one should ensure that one period of the PN sequence generator is longer than the total execution time of the simulation. This is usually not a significant problem, since one can easily construct BSRs that have periods greater than 1027clock cycles. The final concern is how closely the behavior of the PN sequence generator matches a truly random sequence. Standard statistical analysis algorithms have been applied to many of these generators to validate their performance Many digital communication systems use m bit(M-ary) sources where m> 1. Figure 78.7 depicts a simple algorithm for generating a M-ary random sequence from a binary sequence. The clock must now cycle through m cycles for every generated symbol, and the period of the generator has been reduced by a factor of m. This may force the use of a longer-period BSR. Another common application of PN sequence generators is to produce e 2000 by CRC Press LLC© 2000 by CRC Press LLC a problem. If it is a concern, one should ensure that one period of the PN sequence generator is longer than the total execution time of the simulation. This is usually not a significant problem, since one can easily construct BSRs that have periods greater than 1027 clock cycles. The final concern is how closely the behavior of the PN sequence generator matches a truly random sequence. Standard statistical analysis algorithms have been applied to many of these generators to validate their performance. Many digital communication systems use m bit (M-ary) sources where m > 1. Figure 78.7 depicts a simple algorithm for generating a M-ary random sequence from a binary sequence. The clock must now cycle through m cycles for every generated symbol, and the period of the generator has been reduced by a factor of m. This may force the use of a longer-period BSR.Another common application of PN sequence generators is to produce FIGURE 78.5 Six-stage binary shift register PN generator. FIGURE 78.6 Output of a six-stage maximal length BSR. FIGURE 78.7 M-ary PN sequence generator. FIGURE 78.8 Generation of Gaussian noise. 8574/ch078/frame Page 1756 Wednesday, May 6, 1998 11:08 AM