Question

solve 2.40 a,b,c, e using Fourier series.

2.40 part a,b,c,e 2.40 Consider the continuous-time signals depicted in Fig. P2.40. Evaluate the following convolution integrals: (a) m(t) x(t) y(t) (b) m(t)x(t)z(t) (c) m(t) x(t) ft) (d) m(t) x(t) a(t) (e) m(t)y(t) z(t) (f) m(t) -y(t) w(t) (g) m(t) y(t)g(t) (h) m(t)y(t) c(t) (i) m(t) z(t) f(t) (j) m(t) z(t) g(t) (k) m(t) z(t)b(t) (1) m(t) w(t) g(t) (m) m(t) w(t) a(t) (n) m(t) f(t) g(t (o) m(t) fo) . do) (p) m(o)) d) it 86 미n ini a(t) FIURE P2.40 the waveform transmitted in communicatingt quence -1101001" a) Use convolution to cakculate the reenea 41 Suppose we model the effect of imperfections in a commanication channel as the RC circuit depicted in Fig. P2.41(a). Here, the input x(f) is the transmitted signal and the output y(r) is the received signal. Sup- pose that the message is represented in binary format, that a "1" is communicated in an interval of length T by transmiting the waveform or symbol pir) de- picted in Fig. P241(b) in the pertinent interval, and that a "O" is communicated by transmitting -p(r) in the pertinent interval. Figure P2.41(e) illustrates due to the transmission of a single t 0. Note that the received waveform beyond time T and into the interval a for the next bit, T2T. This conen tion is called intersymbol interferene the received waveform is interfered wit' RC

Answer 1

rlt) Finst we have to do aplace -and again And nveng laplace Transfo x(t -st ®.st.-. 2 2.