Question

please can discuss how you solve it

For a continuous-time band-limited signal, x(t) = cos (4000nt) compute Nyquist sampling rate, 125. Also compute first 10 samples of the sampled signal, x (nts), for n > 0, that is, n 0 1 2 3 4 5 6 7 8 9 x(nts) Re-compute first 10 samples of the sampled signal, x(nts), for n > 0, that is, 0 2 3 4 8 9 x(nts) n 1 5 6 7 if x(t) is sampled at 4 times the Nyquist sampling rate then

Answer 1

1 alebo cos (4000nt ) - x(mts) X(t) NTS fs 2fm - 2 x 2000 35 24000 ㅗ 40070 Ts (4000 ton l' x God) 4000 4000 고 cos (nI) x (m) coso - 1 x10 ) z M20 cos TI = -1 x(1) n=1 Lozn = 1 x(2) n = 2 X (3) 2 CO (37) 2 -2 n = 3 cos (47) = 1 &(4) M=4 z cos (57) :-1 *(5) n = 5 xo) n = 6 ces (6) - 1 co(1o) --1 &(7) Z n=7

1%D8 xce) noler) - M - १ (9) = AD (47 ) = - 1. 2 Nowe 445 24x4000 -16000 4 1 T 1600D .४ (17) MAvi Ta 16000 X(M) 2 hoan 4 1 M(0) 2 - RL ) 2 Cod x (2) = cos T 10.30 14 103) 4 = -1 114) 4r 4 205) Cen 57 ह 4

96 (6 ) 2 4 Q ㅠ NI) 의 لیا ۔ 4 COPBT ④) 2 0 xq) 8 = 다. 퓨 1 에녁 TT 키 n 티에 눌 I values ) • (Aanapled